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bazaltina [42]
2 years ago
13

The length of a rectangular frame is represented by the expression 2x 4, and the width of the rectangular frame is represented b

y the expression 2x 10. write an equation to solve for the width of a rectangular frame that has a total area of 120 square inches. 2x2 20x − 80 = 0 4x2 28x 40 = 0 4x2 28x − 80 = 0 x2 8x 20 = 0
Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.

<h3>What is the equation that can be used to solve for the width?</h3>

A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

(2x + 4) x (2x + 10) = 120

Expand the brackets

4x² + 20x + 8x + 40 = 120

Add similar terms

4x² +28x + 40 = 120

4x² +28x - 80 = 0

Divide through by 2

2x² + 14x - 40 = 0

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

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3 years ago
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Which expressions are equivalent to -2.5(1-2n) - 1.5n
Keith_Richards [23]

Answer:

-5n - 4


Step-by-step explanation:

The goal is to simplify this expression.


1. Distribute

-2.5 * 1 = -2.5

-2.5 * 2n = -5n


Now, we have

-2.5 - 5n - 1.5


2. Combine like terms

-2.5 + (-1.5) = -4 (+ * - = -   The - cancels out the +)


3. Put it together

-5n - 4


I hope I helped!

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4 0
3 years ago
Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)
wlad13 [49]

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

7 0
3 years ago
Need help on this please Help. I would really appreciate it :)
Ierofanga [76]

Answer:

i am not sure but according to me ans is d

Step-by-step explanation:

Ax+By=C

Ax=C-By

A=C-By/x

5 0
3 years ago
Find the value of y when x equals 4.<br> -3x + 9y = -57
ANTONII [103]

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

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4 0
2 years ago
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