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3 years ago

Write an equation in the line in slope intercept form

Mathematics

1 answer:

Sergio039 [100]3 years ago

8 0

Answer:

Y=2x-1

Step-by-step explanation:

In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there

As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

Read 2 more answers

Solve 1/5x+3=10. Show all work and check it

iren2701 [21]

1/5x + 3 = 10

Subtract by 3 on both sides.

1/5x = 7.

Now to isolate the variable, flip the coefficient in front of the variable and multiply both sides by it.

5(1/5x) = 7(5)

x = 7(5)
x = 35

Now to check:

1/5(35) + 3 = 10

35/5 + 3 = 10

35/5 is 7.

7 + 3 = 10

10 = 10

5 0

3 years ago

Read 2 more answers

Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)

vladimir2022 [97]

First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x

ANSWER: The value of x is 10

6 0

3 years ago

Read 2 more answers

Inequality sentence <br> Six subtracted from w is greater than 15<br> 2.

Vika [28.1K]

Answer:

Ok hi

Step-by-step explanation:

4 0

2 years ago

A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth.

Hunter-Best [27]