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malfutka [58]
3 years ago
13

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answe

r in simplest form.
Mathematics
1 answer:
yan [13]3 years ago
4 0

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

<em><u>Recall:</u></em>

  • The slope of a line passing across through two points can be calculated using: m = \frac{y_2 - y_1}{x_2 - x_1}

<em><u>Given two points:</u></em>

(5,−10) and ( 11 , − 12 )

  • Let,

(5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)

  • Substitute

m = \frac{-12 - (-10)}{11 - 5}

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

brainly.com/question/3493733

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1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
melisa1 [442]

Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus

Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.

2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).

3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.

4 0
3 years ago
Solve the following integral.<br><br> <img src="https://tex.z-dn.net/?f=%5Cint4x%5Ccos%282-3x%29dx" id="TexFormula1" title="\int
bagirrra123 [75]

Hi there!

\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C

7 0
3 years ago
Read 2 more answers
{5, 6, 12, 7, 8 10 ,8}<br><br><br> What is the mean
NNADVOKAT [17]

Answer:

8

Step-by-step explanation:

Sum = 56

56/7 = 8

7 0
3 years ago
Given the lease terms below, what is the total price of the car if you buy it after leasing, and you do not get the security dep
Bess [88]

Answer:

$100

Step-by-step explanation:

5 0
3 years ago
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and
Alika [10]

Answer:

3 spoons were sold last April

Step-by-step explanation:

Let x represent the total number of forks that they made last month.

Let y represent the total number of spoons that they made last month.

It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x

It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.

Total cost of making x forks and y spoons is 1.7x + 1.3y

Last April Molly's Custom Kitchen Supplies spent $37.90. This means that

1.7x + 1.3y = 37.90 - - - - - - - - - - 1

The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x

The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.

Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

5 0
3 years ago
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