slope and y intercept of the line with equation y=2+2x

The equation of the line that is perpendicular to 5x-8y=-6 and passes through (4,-4) is y = (-8/5)x + 16/5.

Parallel lines are two or more lines in a coordinate plane that are equidistant from each other at all coordinates.

The given line can be rewritten in slope-intercept form as y=(5/8)x+(3/4), where the slope is 5/8. So, any parallel line will also have a slope of 5/8.

Using the point-slope form of a line, we can write the equation of the line as:

y - (-4) = (5/8)(x - 4)

Simplifying, we get:

y = (5/8)x - 23/8

Therefore, the equation of the line that is parallel to 5x-8y=-6 and passes through (4,-4) is y = (5/8)x - 23/8.

The slope of the given line is 5/8, so the slope of any line perpendicular to it will be -8/5.

y - (-4) = (-8/5)(x - 4)

Simplifying, we get:

y = (-8/5)x + 16/5

Therefore, the equation of the line that is perpendicular to 5x-8y=-6 and passes through (4,-4) is y = (-8/5)x + 16/5.

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True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

38,500 pounds

Step-by-step explanation:

1 ton = 2000 pounds

Answer:

b, a, c

Step-by-step explanation:'

The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest

Hope this helps!

Answer:

b ,a ,c

Step-by-step explanation:

The side opposite the smallest angle is the shortest

The smallest

x = 180 - 70 -62 = 48

48 is the smallest angle so b is the smallest side

The side opposite the largest angle is the longest side

70 is the largest angle so c is the longest side

b ,a ,c

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Answer:

2.75 L

Step-by-step explanation:

This is the problem of subtraction.

Total Milk sumana has = 7.5 l

Milk used in the morning = 4.75 L

Milk left for evening = Total Milk sumana has - Milk used in the morning

Milk left for evening = 7.5 l - 4.75 l = 2.75 L

answer: 12

explanation:

you can milk 6 in five minutes so you multiple 6 by to because 10 is 5 two times

Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Answer:

128

Step-by-step explanation:

To translate the sentence into an equation, we can use the following formula: number / 8 = 16. This equation shows that we are dividing a number by 8 and getting a result of 16. To solve for the number, we can multiply both sides of the equation by 8. This gives us the equation number = 16 x 8, which simplifies to number = 128. Therefore, the solution to the equation is 128.

Answer:

128

Step-by-step explanation:

got it right on edge

Answer:

about 127.28 feet

Step-by-step explanation:

The length of the hypotenuse of a right triangle with a base and a height of 90 feet each.

root (90)^2 + (90)^2

Answer:

Leigh Anne has the grater rate of pay by 0.30

Step-by-step explanation:

Jerry: $11.75 per hour

Anne: $12.05 per hour

Answer:

There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.

Step-by-step explanation:

Answer:

4x-20

Step-by-step explanation:

2+5x-1x-22

First, rearrange to make life temporarily easier.

5x-1x+2-22

Then combine like terms.

5x-1x=4x

2-22=-20

So we have 4x-20

That is simplified as far as it can.

---

hope it helps

Answer:

the factors are :-

hence, x = -3 or x = -4

Answer:

D

Step-by-step explanation:

because i just took the test

The number of missed shots after 10 weeks of practice is 1

From the question, we have the following parameters that can be used in our computation:

The line of best fit

Also, we have the equation to be

y  = -1/2x + 6

At the 10th weeks, we have

x = 10

Substitute the known values in the above equation, so, we have the following representation

y  = -1/2 * 10 + 6

Evaluate

y = 1

Hence, the number of missed shots after 10 weeks of practice is 1

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5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Mr. Carreon can give his students 243 different combinations of quizzes for a one-school week if he chooses to give a quiz in either math, science or history each day.

To find the number of different combinations of quizzes that Mr. Carreon can give his students for a one-school week, we can use the concept of permutations and combinations.

Since there are three subjects (math, science, and history) and Mr. Carreon can give a quiz in any of these subjects on each day of the week, the number of different combinations of quizzes for the week is given by the product of the number of choices for each day. That is,

Number of combinations = Number of choices on Monday * Number of choices on Tuesday * ... * Number of choices on Friday

Since there are 3 subjects to choose from for each day, the number of choices for each day is 3. Therefore, the number of different combinations of quizzes for the week is:

Number of combinations = 3 * 3 * 3 * 3 * 3 = 3^5 = 243

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Answer:

x=7

Step-by-step explanation:

hope this helps :)

Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

Find the given attachments

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer:

Time taken by kangaroo to travel 5 km = 4.27 minutes.

Step-by-step explanation:

Speed of kangaroo is 44 mph.

Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s

We need to find how much time it takes to travel 5 km

Distance traveled = 5 km = 5000 m

We have

          Distance traveled =  Speed x Time taken

          5000 = 19.5 x Time taken

          Time taken = 256.41 seconds

           Time taken = 4.27 minutes.

Answer:7.5

Step-by-step explanation:

Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

thank me by marking my answer as brainliest!

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Explanation:

The given equation is the same as y = 1x+5 which is in y = mx+b form.

Anything perpendicular to this will have a slope of -1, which is the negative reciprocal of the original slope.

We'll use this perpendicular slope along with (x,y) = (-20,4) to find the equation of the perpendicular line.

y = mx+b

y = -1x+b ... plug in the perpendicular slope

4 = -1*(-20)+b ... plug in the x,y coordinates

4 = 20+b

4-20 = b

-16 = b

b = -16

Therefore, we go from y = mx+b to y = -x-16