Which of the following would best represent the equation of the line in point-slope form for the given two points (-2,6)and(4,10)

Answer:

I can help but I need better pic

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

Learn more about mathematics at:

brainly.com/question/929808

#SPJ1

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

\((x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7\)

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Answer:

yes they are rational

Step-by-step explanation:

in mathematics rule numbers that are positive are usually in rational form❤

Answer:

X < 7/2

Step-by-step explanation:

Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.

Step-by-step explanation:

Given that:

|2x-7| = 7-2x

⇛2x-7 = 7-2x or -(7-2x)

since |x| = a ⇛ x = a or x = -a

⇛2x-7 = 7-2x or 2x-7 = 2x-7

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x+2x = 7+7

Add the values on LHS and RHS.

⇛4x = 14

Shift the number 4 from LHS to RHS.

⇛x = 14/4

Write the fraction in lowest form by cancelling method.

⇛ x = {(14÷2)/(4÷2)}

⇛x = 7/2

There is no solution for negative value

x = 7/2

Please let me know if you have any other questions.

Answer:

Step-by-step explanation: Hope this helps

Answer:

9 m/s

Step-by-step explanation:

To calculate the change in the tram's elevation each second, you must divide the given figures which is now the given formula of \(\frac{meters}{seconds}\);

\(54\) ÷ \(6 =\)

\(\frac{54}{6} = 9\)

Therefore, the change in the tram's elevation is 9 each second.

Answer:

-9

Step-by-step explanation:

I say this because, the change in this problem is a negative one. Meaning you change the 54 into a negative number then divide by 6. So, -54 divided by 6 = -9. And remember, if there is one negative number and one positive it will be negative. If two negative it will be positive.

I hope I helped! Sorry if I'm wrong!

Answer:

6

Step-by-step explanation:

translating phrases and sentences into expressions, equations, and inequalities is an important skill in mathematics. It involves identifying key words and phrases that indicate mathematical operations and relationships. By understanding these key words, we can represent real-world problems using mathematical language and symbols, making it easier to solve and analyze them.

translating phrases and sentences into expressions, equations, and inequalities

When solving mathematical problems, it is often necessary to translate phrases and sentences into mathematical expressions, equations, and inequalities. This process involves identifying key words and phrases that indicate mathematical operations and relationships.

For example, let's consider the following sentence:

'The sum of a number and 5 is equal to 12.'

In this sentence, the key words 'sum,' 'number,' 'equal to,' and '12' indicate that we need to perform addition and find the value of the unknown number. We can represent this sentence as the following equation:

x + 5 = 12

Here, 'x' represents the unknown number.

Similarly, let's consider the following sentence:

'Twice a number decreased by 7 is greater than 15.'

In this sentence, the key words 'twice,' 'decreased by,' 'greater than,' and '15' indicate that we need to perform multiplication, subtraction, and comparison. We can represent this sentence as the following inequality:

2x - 7 > 15

Here, 'x' represents the unknown number.

By understanding key words and phrases, we can effectively translate real-world problems into mathematical language and solve them using expressions, equations, and inequalities.

About translating phrases here:

https://brainly.com/question/16708967

#SPJ11

1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

1) The given phrase is "The product of 5 and q is greater than 30."

Here, the product of 5 and q = 5×q

= 5q

Now, the product is greater than 30.

Thus, 5q>30

q>30/5

q>6

2) The given phrase is "Twice the square of b is equal to 8."

Here, the square of b = b×b

= b²

Twice the square of b = 2b²

So, the product is equal to 8.

That is. 2b²=8

b²=4

b=±2

Therefore,

1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Translate phrases and sentences into expressions, equations and inequalities.

1) The product of 5 and q is greater than 30.

2) Twice the square of b is equal to 8.

Answer:

(-5,-4)

Step-by-step explanation:

i think this is correct because i tried to solve in paper.

Given:

Find-:

Select the graph that best describes the inequalities and system of inequalities.

Explanation-:

Graph of first inequality is:

Graph of the second inequality:

So the graph of inequality.



Answer:

Hello,

x=5

Step-by-step explanation:

\(Since\ \overrightarrow{AD}=\overrightarrow{BC}, ABCD\ is\ a\ parallelogramm\\\\12x+60=150-6x\\\\18x=90\\\\x=\frac{90}{18} \\\\\boxed{x=5}\\\)

The probability that at least two students share their birthday in the same month is 88.4%

To calculate the probability that at least two students share their birthday in the same month, we can use the complement rule.

First, let's calculate the probability that no two students share their birthday in the same month.

The first student can have their birthday in any month. The second student, however, must have their birthday in a different month than the first student, which has a probability of 11/12. Similarly, the third student must have their birthday in a different month than the first two students, which has a probability of 10/12. Continuing this pattern, the probability that no two students share their birthday in the same month is:

1 x 11/12 x 10/12 x 9/12 x 8/12 x 7/12 x 6/12 x 5/12 x 4/12 x 3/12 = 0.116

Therefore, the probability that at least two students share their birthday in the same month is:

1 - 0.116 = 0.884

So, there is a high probability (88.4%) that at least two students in a class of 10 share their birthday in the same month.

Know more about  probability click here:

https://brainly.com/question/30034780

#SPJ11

Answer:

y = 3x + 7

Step-by-step explanation:

As we move from (2, 13) to (5, 22), x (the "run") increases by 3 and y (the "rise") increases by 9.  Thus, the slope, m, must be m = rise / run = 9/3, or 3.

Then we have y = 3x + b and must find b.  Subbing 2 for x and 13 for y, we get

13 = 3(2) + b, so that b must be 7.

The desired equation is y = 3x + 7.

Answer:

\(5^{10} \cdot 5^{-7} = 5^3\)

\(\frac{5^{10}}{5^{-7}} = 5^{17}\)

Step-by-step explanation:

You have two equations:

\(5^a \cdot 5^b = 5^3\)

\(\frac{5^a}{5^b} = 5^{17}\)

But since

\(x^a \cdot x^b = x^{a+b}\)

you only need to solve a+b = 3 and a-b=17

Rewrite the second as a = 17+b and plug it into the first:

17+b + b = 3, then you find, 2b = -14, so b = -7.

Then a=3-b, so a = 10.

Answer:

aₙ = 6aₙ - 18

Step-by-step explanation:

a₃ = 0, a₄ = 6, a₅ = 12, a₆ = 18, a₇ = 24...

aₙ = 6aₙ - 18

a₃ = (6 × 3) - 18 = 0

a₄ = (6 × 4) - 18 = 6

a₅ = (6 × 5) - 18 = 12

a₆ = (6 × 6) - 18 = 18

a₇ = (6 × 7) - 18 = 24

I hope this helps!

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

Thank you Please mark as Brainliest :>

The probability that the vehicle is a crossover 0.41.

What is probability?

Probability is the branch of mathematics concerned numerical descriptions of how probable an event is to occur, or how likely it is that a claim is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that, the probability

passenger car     pickup truck         suv       crossover    minivan

     0.28                       0.18              0.08             ?                 0.05

The total probability of an event is 1.

Thus total probability distribution of for the type of vehicle chosen is  1.

Assume that the probability to choose crossover car is x.

Therefore,

0.28 + 0.18 + 0.08 + x + 0.05 = 1

0.59 + x = 1

x = 1 - 0.59

x = 0.41

To learn more about probability distribution, click on below link:

https://brainly.com/question/15925255

#SPJ4

The number of cups of flour that Diego uses more than Akeem will be  4 ½.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Akeem, Diego, and Lily are each making banana bread. Lily uses 3 ½ cups of flour more than Akeem. She uses 1 cup of flour less than Diego.

L = 3 ½ + A      ...1

L = D - 1            ...2

From equations 1 and 2, then we have

D - 1 = 3 ½ + A

D = 4 ½ + A

The number of cups of flour that Diego uses more than Akeem will be  4 ½.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ9

By randomly assigning subjects to treatment conditions, many extraneous variables are automatically balanced across conditions.

Random assignment ensures that, on average, the distribution of these extraneous variables will be similar across different treatment groups.

This helps create comparable groups, reducing the likelihood of systematic differences between groups that could confound the treatment effect.

Random assignment minimizes the bias that can arise from confounding variables, allowing researchers to attribute observed differences in outcomes to the treatment rather than other factors.

It provides a solid foundation for making causal inferences and increases the internal validity of the study by reducing the potential influence of extraneous variables on the treatment effect.

To know more about extraneous variables refer here:

https://brainly.com/question/31748149#

#SPJ11

The Maclaurin series, also known as the Taylor series centered at zero, is a way to represent a function as an infinite polynomial. In this problem, we are asked to find the first three nonzero terms of the Maclaurin series, write the power series using summation notation, and determine the interval of convergence.

a. To find the first three nonzero terms of the Maclaurin series, we need to expand the given function as a polynomial centered at zero. This involves finding the derivatives of the function and evaluating them at x=0. The first term of the series is the value of the function at x=0. The second term is the value of the derivative at x=0 multiplied by (x-0), and the third term is the value of the second derivative at x=0 multiplied by (x-0)^2.

b. The power series representation of a function using summation notation is obtained by expressing the terms of the Maclaurin series in a concise form. It is written as a sum of terms where each term consists of a coefficient multiplied by (x-0) raised to a power. The coefficient of each term is calculated by evaluating the corresponding derivative at x=0.

c. The interval of convergence of a power series is the range of x-values for which the series converges. To determine the interval of convergence, we need to apply convergence tests such as the ratio test or the root test to the power series. These tests help us identify the range of x-values for which the series converges absolutely or conditionally.

To learn more about Taylor series click here: brainly.com/question/32235538

#SPJ11

Before performing a significance test about a population mean or proportion, the following conditions must be verified:

Sample Size: The sample size should be sufficiently large to allow the application of the normal distribution. A minimum sample size of 30 is required to meet this requirement.

Normality: The sample should be approximately normally distributed. When the sample size is greater than or equal to 30, the central limit theorem ensures normality. For sample sizes of less than 30, the data should be examined for normality. If the distribution is skewed or has outliers, nonparametric tests should be considered.

Independence: The observations in the sample should be independent of one another. This means that the response from one observation does not depend on the response from another observation.

Equal Variance: The variance of the population should be approximately equal to the variance of the sample. If the variances are unequal, a modified t-test should be used instead of the traditional t-test.

Know more about traditional t-test here:

https://brainly.com/question/30129613

#SPJ11

Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

The parametric equation for the line segment from (−4, 14, 32) to (10, −9, 46), using the parameter t is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

The given points are (-4,14,32) and (10,-9,46).

To find the parametric equations for the line segment we need to follow the below steps.

Step 1: Calculate the direction vector of the line segment. We use the difference of the given points for this purpose.  Let d= direction vector = (10,-9,46)-(-4,14,32)  = (14,-23,14)

Step 2: Choose the initial point on the line segment. We can choose (-4,14,32).

Step 3:  Since there are infinite choices for parameter t, choose any parameter t. We choose t in the range 0<= t <=1, to get the parametric equation for the line segment.

Let the parametric equation for the line segment be r(t).

Then,  r(t) = (-4,14,32) + t(14,-23,14)    

= (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

Thus, the parametric equation for the line segment is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

To know more about parametric equation refer here:

https://brainly.com/question/30286426

#SPJ11

Answer:

Yes

Step-by-step explanation:

y = 5x + 4

x + y = 40

x = 6

y = 34

34 = 5(6) + 4

34 = 30 + 4

34 = 34

34 + 6 = 40

Answer:  5:2 Ratio

Step-by-step explanation:

Answer:

8:5

Step-by-step explanation:

total no of balls= 30+12=42

ratio of all ball to baseballs= 42:15

simplified it would be= 8:5

The x-intercept is 19.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate; y₁ - y coordinate

m - slope

Given the equation as;

Y=10x/3+19

Then;

the slope m = 10/3

The intercept is 19.

Hence, the x  intercept is 19.

Learn more about equations here;

brainly.com/question/25180086

#SPJ1