Please I need help ASAP what’s the distance between the 2 points

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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The probability that a randomly selected cookie is not safe for Sean to eat is 0.60.

To find the probability that a cookie contains chocolate or nuts, we need to add the probability of the cookie containing chocolate to the probability of the cookie containing nuts, and then subtract the probability of the cookie containing both chocolate and nuts. This is because if a cookie contains both chocolate and nuts, it is counted twice when we add the probability of chocolate and the probability of nuts.

Let's call the event of a cookie containing chocolate "C", the event of a cookie containing nuts "N", and the event of a cookie containing both "C∩N". Then, we can use the formula:

P(C ∪ N) = P(C) + P(N) - P(C ∩ N)

We are given that P(C) = 0.36, P(N) = 0.12, and P(C∩N) = 0.08. Substituting these values into the formula, we get:

P(C ∪ N) = 0.36 + 0.12 - 0.08 = 0.40

Therefore, the probability that a cookie contains chocolate or nuts (but not both) is 0.40.

However, Sean is allergic to both chocolate and nuts, so he cannot eat any cookies that contain either chocolate or nuts. To find the probability that a randomly selected cookie is not safe for Sean to eat, we can subtract the probability of a cookie containing neither chocolate nor nuts from 1:

P(not safe for Sean) = 1 - P(neither C nor N)

To find P(neither C nor N), we can use the complement rule:

P(neither C nor N) = 1 - P(C ∪ N)

Substituting the value we calculated earlier for P(C ∪ N), we get:

P(neither C nor N) = 1 - 0.40 = 0.60

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Answer:

j = -10

Step-by-step explanation:

Given the mathematical expression;

-10 − 10j = -9j

To find the value of j?

Rearranging the equation, we have;

-10 = -9j + 10j

-10 = j

Therefore, j = -10

The difference between the volumes of these figures is 25.1 in³

Volume is the amount of space occupied by a three dimensional object or figure.

The volume of a cone is given by:

Volume = (1/3) * π * radius² * height = (1/3) * π * (4²) * 12 = 201.1 in³

The volume of a cylinder is given by:

Volume = π * radius² * height = π * (3²) * 8 = 226.2 in³

The difference in volume = 226.2 - 201.1 = 25.1 in³

The difference between the volumes of these figures is 25.1 in³

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Answer:

A. 75 inches

Step-by-step explanation:

Assuming that the attached picture is the question you are referring to, the answer is 75.

For the volume of the cone, \(\frac{1}{3}\) of the bh = 16

For the cylinder, the volume is 48.

48 - 16 = 32

75 is the closest to 32 from all the options.

Answer:

See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160

Answer:

Step-by-step explanation:

First, i divide all terms by 4

sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)

\(u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )\)

\(\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }\)

Answer:

570

Step-by-step explanation:

If the tickets are 95 dollars each, multiply by 6.

95 --> 190 --> 285 --> 380 --> 475 --> 570.

Answer:

C.) t = W/P

Step-by-step explanation:

P=W/t

t x P= t x W/t

Pt=W

Pt/P=W/P

t=W/P

To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.

Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.

We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)

Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr

Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.

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By answering the above question, we may infer that The input value 0 equation represents the height at sea level, making it an inappropriate value for this function.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

For the predicament, the following input values would be suitable:

B) 1

C) 2

D) 3

E) 4

As the temperature drops by around 5°F for every 1,000 feet of height, we must utilise altitude numbers in thousands of feet to obtain the function's proper input values. Hence, we would utilise a value of 1 as an input for every 1,000 feet of height rise. Consequently, 1, 2, 3, and 4 would be the proper input values, which correspond to altitudes of 1,000, 2,000, 3,000, and 4,000 feet, respectively. The input value 0 represents the height at sea level, making it an inappropriate value for this function.

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Step-by-step explanation:

-5x = 10 + 10

-5x = 20

X = 20/-5

X = -4

check :

-5 x -4 =20

20 =20

The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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The probability that a randomly chosen lollipop will be cherry is 4/19.

the probability that a randomly chosen lollipop will be cherry, we need to consider the number of cherry lollipops and the total number of lollipops in the bowl.

Step 1: Identify the number of cherry lollipops (8) and the total number of lollipops (8 cherry + 30 other = 38 total).

Step 2: Calculate the probability by dividing the number of cherry lollipops by the total number of lollipops: Probability = (number of cherry lollipops) / (total number of lollipops) = 8/38.

Step 3: Simplify the fraction, if possible. In this case, both 8 and 38 are divisible by 2, so we can simplify it to: 4/19.

The probability that a randomly chosen lollipop will be cherry is 4/19.

Therefore, the probability of choosing a cherry lollipop is 4/19.

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The Federal government levies the most income tax to generate more revenue than state and local for its programs. Thus, option A is correct.

The Federal government mainly depends upon income tax for the operations and funds for government schemes. Income tax is the major source of revenue for this federal government. They impose a tax on both individual and corporate income when compared to state and local.

The Federal government collects payroll taxations on self-employment laborers and also government employees. These tax rates will be increased in steps and sometimes imposes at a time based on the percentage of income for individuals.

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a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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The numerator of the repeated-measures t-statistic is the difference between the means of two related groups, while the numerator of the single sample t-statistic is the difference between the sample mean and the population mean.

In a repeated-measures t-test, you compare the means of two related groups, typically in a pretest-posttest design or when participants are measured under two different conditions. The numerator for the repeated-measures t-statistic is calculated as:

Numerator (Repeated-Measures) = Mean_Difference - 0

where Mean_Difference is the mean of the differences between the two related groups.

In a single sample t-test, you compare the mean of a single sample to a known population mean. The numerator for the single sample t-statistic is calculated as:

Numerator (Single Sample) = (Sample_Mean - Population_Mean)

In summary, the numerators differ in that the repeated-measures t-statistic considers the differences between two related groups, while the single sample t-statistic compares a sample mean to a population mean.

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Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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Integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

Integration by ordinary substitution and integration by trigonometric substitution are two different techniques used to evaluate integrals in calculus.

Integration by ordinary substitution, also known as u-substitution, involves making a change of variables to simplify the integral. It is based on the chain rule for differentiation. The general steps for integration by ordinary substitution are as follows:

1. Identify a part of the integrand that can be replaced by a single variable, denoted by u.

2. Compute the derivative du/dx of the new variable u.

3. Substitute the expression for u and du into the integral, replacing the original integrand.

4. Integrate the resulting expression with respect to u.

5. Replace the variable u with the original variable or expression to obtain the final result.

Integration by trigonometric substitution, on the other hand, is a technique specifically used for integrals involving square roots of quadratic expressions or expressions with a combination of squares. It is based on trigonometric identities and is particularly useful when dealing with integrals that can be simplified using trigonometric functions. The general steps for integration by trigonometric substitution are as follows:

1. Identify a part of the integrand that can be expressed in terms of a trigonometric function.

2. Make a substitution using a trigonometric identity to replace the relevant part of the integrand.

3. Express all other terms in the integrand in terms of the same trigonometric function.

4. Simplify the integral using trigonometric identities and algebraic manipulations.

5. Integrate the resulting expression with respect to the new variable (usually denoted by θ).

6. Replace the trigonometric function with the original variable or expression to obtain the final result.

In summary, integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

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\(\pink{\bigstar}\) Amount of apple juice Will added \(\large\leadsto\boxed{\tt\purple{1 \frac{5}{12}}}\)

➪ Amount of grape juice Will added = 1/4

➪ Amount of juice in total after adding the apple juice = 1⅔

Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.

Hence,

➪ \(\sf 1 \frac{2}{3} - \dfrac{1}{4}\)

➪ \(\sf \dfrac{5}{3} - \dfrac{1}{4}\)

• Taking an L.CM:-

➪ \(\sf \dfrac{20 - 3}{12}\)

➪ \(\sf \dfrac{17}{12}\)

➪ \(\large{\bold\red{1 \frac{5}{12}}}\)

Therefore, the amount of apple juice added is \(\large{\bold 1 \frac{5}{12}}\)

Answer:

Total cost for 10 songs = 6 + [0.75 × 10]

= $13.5

Step-by-step explanation:

The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.

To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.

Using the formula for mortgage balance, we can find the remaining balance:

Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]

Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).

Substituting the values into the formula, we find:

Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89

The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:

Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11

Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.

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(a) The probability that all 4 of your answers are incorrect is 0.4823.

The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).

(b) The probability that all 4 of your answers are correct is 0.0008.

The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).

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Answer:

1647

Step-by-step explanation:

Given the following information:

Length of traffic = 8 miles

Average Length of vehicles on the road :

Cars = 14.5 feets

Trucks = 21 feets

18 Wheeler tractor = 73 Feets

% distribution of the different vehicles :

Cars = 70% = 0.7

Trucks = 20% = 0.2

18 wheeler tractor = 10% = 0.1

Distance between vehicles = 4feets

Number of vehicles stuck in the traffic :

Let number of vehicles = v

Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic

Total distance between each vehicle = 4(v-1)

(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles

1 mile = 5280

8 miles = (5280 * 8) = 42,240

10.15v + 4.2v + 7.3v + 4v - 4 = 42240

25.65v = 42240 + 4

25.65v = 42244

v =42244 / 25.65

v = 1646.939

v = 1647.

Answer:

$3.15

Step-by-step explanation:

Method 1:

4 oranges = 1.40

9 oranges = x

1.40 / 4 = 0.35

This is 0.35 per orange

0.35 x 9 = 3.15

$3.15

Method 2:

1.40/4 = x/9

12.6 = 4x       (cross multiply 9 and 1.4 and cross multiply 4 and x)

x = 12.6 / 4

x = 3.15

$3.15

If my answer is incorrect, pls correct me!

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-Chetan K

In rewriting the expression in equivalent form, C. Tony made an error in Step 3. He should have multiplied each exponent by 4 instead of adding 4.

When writing in equivalent form such that one converts the expression ( a ² b ³ /  c) ⁴, one can use the law of exponents.

In this instance, the law of exponents states that if you are taking an exponent with a certain base, to another exponent, you multiply the exponents to get the new exponent.

In step 3, Tony should have multiplied each exponent by 4 instead of adding 4.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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The vertical component of the initial velocity will basically decide where the vertices will be. that is how the initial velocity is related to the vertex of the parabola.

A parabola is a symmetrical curve that is formed by the intersection of a plane and a cone, where the plane is parallel to one of the cone's generating lines. The shape of a parabola is similar to that of a U-shaped curve, but with a sharper curve near the bottom of the U.

The parabola has several important properties, including a focus and a directrix. The focus is a point on the axis of symmetry of the parabola that is equidistant from every point on the curve. The directrix is a line that is perpendicular to the axis of symmetry and is equidistant from every point on the curve.

The equation of a parabola in standard form is y = ax² + bx + c, where "a" determines the direction and shape of the parabola, "b" determines the horizontal shift of the parabola, and "c" determines the vertical shift of the parabola.

The initial velocity will have two component basically, a horizontal component and a vertical component. The vertical component will decide how high the object will go, or in other words the vertical component of the velocity will decide the position of the vertex of the parabolis path which the object is going to follow.

When the vertical component of the velocity becomes 0, the object will be at it's maximum height (i.e the object will be at the vertex of the parabola)

The vertical component of the initial velocity will basically decide where the verties will be. that is how the initial velocity is related to the vertex of the parabola.

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Answer:

-2

Step-by-step explanation:

slope formula= (y2-y1)/(x2-x1)

(-1,-7) is (x1,y1)

(-2,-5) is (x2,y2)

Plug in numbers into slope equation

((-5)-(-7))/((-2)-(-1)) = 2/-1

Simplify

answer= -2

Your Welcome!

Answer:

p=1

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Distribute

4p -3p -15 = 3p -17

Combine like terms

p -15 = 3p -17

subtract p from each side

p-p -15 = 3p -17-p

-15 = 2p -17

Add 17 to each side

-15+17 = 2p -17+17

2 = 2p

Divide by 2

2/2 = 2p/2

1 =p

Answer:

Need points! Give brainliest! (a useless mod deleted all my answers for no reason)

Step-by-step explanation:

4p -3p-15 = 3p-17

2 = 2p

p = 1

Answer:

heres the graph

Step-by-step explanation: