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Volgvan
2 years ago
13

A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is

84 square inches. Write an equation you can use to find the width (in inches).

Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
  • w² - 56w + 336 = 0

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Answer:

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Step-by-step explanation:

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LenKa [72]

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

\boxed{ \mathsf{slope =  \frac{ y_{2} -y  _{1}}{ x_{2} - x _{1}} }}

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }

\implies \mathsf{ \frac{ - 3}{2  + 1 } }

\implies \mathsf{ \frac{ - 3}{3 } }

\implies \mathsf{  - 1 }

Hence, the slope of the line joining the given points is <u>-1.</u>

4 0
3 years ago
I really need help for this geometry question, I would appreciate any help thank you.
Vsevolod [243]
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because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
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