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3 years ago

Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X Show

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

y = 12/5x + 22

Step-by-step explanation:

First, let's find the slope of the AB line.

y2 - y1 / x2 - x1

3 - 8 / 2 - (-10)

-5 / 12

= -5/12

When a line is perpendicular to something, the slope becomes the opposite.

y = 12/5x + b

10 = 12/5(-5) + b

10 = -12 + b

22 = b

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Find the equation of the linear function represented by the table below in slope-

Eva8 [605]

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{(y_2-y_1)}{(x_2-x_1)}$

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = $\frac{25-5}{6-2}$

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

4 0

3 years ago

Stephanie wants to buy her brother some UGA clothes before he starts school there. She has $55 to spend on him. The hats are $10

Anna35 [415]

Answer:

Part a: $10h + $15s ≤ $55

Part b: She can buy 3 shirts

Step-by-step explanation:

Part a: Write an equation to model the situation

Stephanie has $55 to spend. Assume that hats are h, and shirts are s.

She can buy h hats for $10 each, represented as $10h

She can s shirts for $15 each, represented as $15s

She cannot spend more than $55

So that means $10h + $15s ≤ $55

It has to be less than or equal to because she can spend less money or $55 on her brother.

Part b: if she buys 1 hat, how many shirts can she buy?

Lets use our equation from part a

$10h + $15s ≤ $55

replace for for h because she bought 1 hat

$10 + $15s ≤ $55

Solve:

$10 + $15s ≤ $55

$15s ≤ $45

s ≤ 3

She can buy 3 shirts

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0

3 years ago

Someone help Please and make sure it’s right :)

Viktor [21]

Answer:

Step-by-step explanation:

its 9

8 0

3 years ago

(3square root8x^5)-(4square root256y^3)<br> Write in exponential form<br> and simplify

lana66690 [7]

Answer:

$2x^\frac{5}{3} - 4y^\frac{3}{4}$

Step-by-step explanation:

Given equation:

$\sqrt[3]{8x^5} - \sqrt[4]{256y^3}$

( $(8x^5)^\frac{1}{3} - (256y^3)^\frac{1}{4} \\ (8^\frac{1}{3} . x^\frac{5}{3} ) - (256^\frac{1}{4}. y^\frac{3}{4})\\ 2x^\frac{5}{3} - 4y^\frac{3}{4}$ !

6 0

4 years ago

It takes 1 1/2 cups of flour, 1 1/4 cups of sugar, and 1/2 cup of butter to bake fifteen shortbread cookies. If Ramon has 5 cups

Stolb23 [73]

Short answer 48 cookies
Remark
This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.

Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.

1.5 cups of flour / 15 cookies = 5 cups of flour / x Cross multiply
1.5 x = 15 * 5
1.5 x = 75 Divide by 1.5
x = 75/1.5
x = 50 cookies are possible

Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x Cross multiply
1.25 x = 4 * 15
1.25 x = 60 Divide both sides by 1.25
x = 60/1.25
x = 48 cookies possible with 4 pounds of sugar.

Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25 Divide by 0.5
x = 26.25 / 0.5
x = 52.5 Cookies.

Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar.

So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.

7 0

3 years ago