Write the equation of the line in​ slope-intercept form that passes through the points​ (-12, -6) and​ (8, 9).

Answer:

13y

​2

​​ −14y+3

Step-by-step explanation:

Remove parentheses.

6{y}^{2}-9y+4+7{y}^{2}-5y-16y

​2

​​ −9y+4+7y

​2

​​ −5y−1

2 Collect like terms.

(6{y}^{2}+7{y}^{2})+(-9y-5y)+(4-1)(6y

​2

​​ +7y

​2

​​ )+(−9y−5y)+(4−1)

3 Simplify.

13{y}^{2}-14y+313y

​2

​​ −14y+3

Answer:

Step-by-step explanation:

The age of three sisters are consecutive integers meaning they are only one year apart.

E.g. sister 1 = x yrs old

Sister 2 = (x + 1) yrs old

Sister 3 = (x + 2) yrs old

They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.

Sister 1 + sister 2 + sister 3 = 180

x + (x + 1) + (x + 2) = 180

So gather the like terms and you get:

3x + 3 = 180

Subtract 3 from both sides

3x = 180-3 = 177

Solve for x by dividing both sides by 3.

x = 177/3 = 59

So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.

Sister 1 = x = 59

Sister 2 = x + 1 = 59 + 1 = 60

Sister 3 = x + 2 = 59 + 2 = 61

Answer:

x=-4

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

Answer:

a (-4)

Step-by-step explanation:

i got you fam!

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

[tex](5 -\sqrt{2}) [/tex]

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} \\ [/tex]

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

[tex] \frac{1}{ 5-\sqrt{2} } \times \frac{ 5+\sqrt{2} }{ 5 +\sqrt{2} } = \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2}) } = \\ [/tex]

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

⇛(5+√2)/23.

Step-by-step explanation:

Given,

1/(5-√2)

The denominator is 5-√2.

We know that

The rationalising factor of a+√b is a-√b.

Therefore, the rationalising factor of 5-√2 is 5+√2. To rationalise the denominator is 1/(5-√2), we multiply this by (5+√2)/(5+√2).

∴ 1/(5-√2)

= {1/(5-√2)}×{(5+√2)/(5+√2)}

= {1(5+√2)}/{(5)²-(√2)²} [∵(a-b)(a+b)=a²-b²]

= {1(5+√2)}/{(5*5)-(√2*2)}

= {1(5+√2)}/25 - 2

= {1(5+√2)}/23

= (5+√2)/23

Hence the denominator is rationalised.

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Answer:

Step 3

Step-by-step explanation:

Answer:

[tex]m=\frac{-8}{3}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-5-3}{1-(-2)}[/tex]

[tex]m=\frac{-8}{1+2}[/tex]

[tex]m=\frac{-8}{3}[/tex]

Parallel lines have the same slope.

Answer:

the answer is 2x+4

Step-by-step explanation:

could you also mark me as brainliest?

Answer:

Subtract 10 and 120 from 180 to get 50°

Step-by-step explanation:

hope this helps, have a nice day!! :D

Answer:50

Step-by-step explanation:

180-10-120=50

Answer:

-3 minus three

-8 minus eight

-10 minus ten

0 zero

2two

Answer:

-10, -8, -3, 0, 2

Step-by-step explanation:

:)

Answer:

The answer is

[tex] \huge \boxed{54 \: \: {units}^{2} }[/tex]

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} \times base \times height \\ [/tex]

From the question

base = 18

height = 6

So we have

[tex]A = \frac{1}{2} \times 18 \times 6 \\ = 9 \times 6 \\ = 54 \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:

The answer is 54 units squared

Step-by-step explanation:

This is because this triangle is made up of two triangles. The smaller one is an isosceles triangle, meaning all sides are the same length. Sense all sides are the same length each side = 6 units squared. You subtract 6 from 18 to get the length of the other triangles side.

From there you multiply each side as if it were a square, then divide both answers by two (because two triangles make up a square). Add them up and then Ta-daa! 54!

Answer:

No.

Step-by-step explanation:

2, 3, 5, 6

4, 5, 8, 10

If all of the sides are scaled, that must mean it is possible to maintain a ratio of each side.

2/4 = 0.5

3/5 = 0.6

5/8 = ?

6/10 = 0.6

No.

Step-by-step explanation:

let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.

Using pythagorean theorem we have that x^2+9^2=(2x)^2

81=4x^2-x^2

81=3x^2

x^2=81/3=27

x=√27

so the missing side is √27

Answer:

1. The independent variable is a and the dependent variable is m

2. The domain is discrete

Step-by-step explanation:

let us explain the difference between discrete or continuous domains

Discrete domain: It is a set of input values that consists of only certain numbers in an interval.

Continuous domain: It is a set of input values that consists of all numbers in an interval.

In the question

m = 3a, where

m is the amount of money m in dollars

Each customer can buy a maximum of three apps

1.

∵ m is depended on the value of 3a

∴ m is the dependent variable ⇒ (output)

∴ a is the independent variable ⇒ (input)

∴ The independent variable is a and the dependent variable is m

2.

∵ The domain the input values

∴ Each customer can buy a maximum of three apps

→ That means it is a certain numbers

∴ The domain is discrete

Answer:b and c

Step-by-step explanation:

Answer:

r = E - v

    -------

      l

Step-by-step explanation:

E stays, subtract v then divide that all by l

where are the coorordinates at?

Answer:

17

Step-by-step explanation:

We are given the side lengths:

2

We check the triangle's inequalities if we add the third side of 20 cm:

3

Since one of the inequalities is not verified, the three given side lengths cannot form a triangle.

(Because the sum of two sides is equal to the third, we can say the triangle is degenerated to a segment.)

4

We check the triangle's inequalities if we add the third side of 15 cm:

5

Since all the three inequalities are verified, 15 can be the value of the third side.

RESULT - this one is 15 but the questions is move the 2 and it will give you 17

15 cm

Answer:

I need a picture

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

72-42=30

the correct answer is 30

(((((can you give me the crown please i need a crown)))))

Answer:

This is a screenshot of the correct answers!

Step-by-step explanation:

Answer:

I think its b because is says loosing 1/4 lbs each week. That would be subtraction. The others are adding.

The equation that represents two Gorillas weighing the same is,

B. 135 + (1/2)x = 143 - (1/4)x.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A mountain gorilla weighs 135 pounds and is gaining 1/2 pound each week and an eastern gorilla weighs 145 pounds and is losing 1/4 pound each week.

The weights of the two Gorillas will be the same when we'll equate their individual equations which is,

135 + (1/2)x = 143 - (1/4)x.

Solving for 'x' would give us the number of weeks required for two Gorillas

to weigh the same.

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Answer:

e. linear pair postulate

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Simplify the following:

35/5 + 3 (30 - 3^3 + 1)

The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:

7 + 3 (30 - 3^3 + 1)

3^3 = 3×3^2:

7 + 3 (30 - 3×3^2 + 1)

3^2 = 9:

7 + 3 (30 - 3×9 + 1)

3×9 = 27:

7 + 3 (30 - 27 + 1)

30 + 1 = 31:

7 + 3 31 - 27

| 2 | 11

| 3 | 1

- | 2 | 7

| 0 | 4:

7 + 3×4

3×4 = 12:

7 + 12

7 + 12 = 19:

Answer: 19

Answer:

The correct options are;

1) The mean (average) score for each class is the SAME

2) The variance of Class B is 159.14

3) Class B has a greater spread

4) Based on the data A score of 8 is more likely in class B than in class A

Step-by-step explanation:

The given data are;

For the 1st period (Class A), we have

The mean, μ = (10 + 15 + 20 + 25 + 30 + 35 + 40)/7 = 175/7 = 25

The standard deviation σ, is given as follows;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]

Where;

N = The number population size = 7

[tex]x_i[/tex] = The individual data values

Solving using Microsoft Excel formula STDEV.P gives, σ = 10

[tex]\sigma _A[/tex] ≈ 10

The variance = σ² = 10² = 100

For the 2nd period (Class B), we have

The mean, μ = (7 + 12 + 17 + 25 + 33 + 38 + 43)/7 = 175/7 = 25

The standard deviation σ, is given as follows;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]

Where;

N = The number population size = 7

[tex]x_i[/tex] = The individual data values

Solving using Microsoft Excel formula STDEV.P gives, [tex]\sigma _B[/tex] ≈ 12.615

[tex]\sigma _B[/tex] ≈ 12.615 > [tex]\sigma _A[/tex] ≈ 10, class B has greater spread

The variance = σ² = 12.615² ≈ 159.14

A score of 8 is more likely in class B than in class A due to the availability of data before and after the a score of 8

Answer: 30 sandwiches

Step-by-step explanation:

you multply 4 times 10 and you get 40 then you buy 30 sandwiches becuase you have 40 bucks left

Answer:

t=10

Step-by-step explanation:

t+14=24

 -14   -14

t=10

Answer:

t = 10

Step-by-step explanation:

t + 14 =24

Subtract 14 from both sides:

t = 10

Check your work by substitution:

10 + 14 = 24

24=24

t = 10

Answer:

1.875 mi/h

Step-by-step explanation:

We first convert 5280 feet to inches which is 63360 inches. Next, we divide 63360 inches by 33 inches which is 1920. To find this in minutes, we do 1920/60 which equals 32 minutes. Last, we divide 60 by 32 and get 1.875. Therefore, John walks 1.875 miles per hour.

Answer:

61

Step-by-step explanation:

366/6

36/6 = 6

6/6 = 1

So, 366/6 = 61

The Quotient is 21.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

366 divided by 6

So, the Division is

                             6 | 3 6 6 | 21

                                   3 6

                              -  ____

                                     0  6

                                          6

                                      _____

                                          0

Thus, the Quotient is 21.

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