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Rus_ich [418]
2 years ago
5

What is the value of x (distance from the edge of the screen to the end of the wall) if the area of the screen is 40 m^2?

Mathematics
1 answer:
erica [24]2 years ago
7 0

The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.

<h3>

What is the calculation for the solution above?
</h3>

Recall that the area of the entire wall is 40m².

(10-2x) (16- 2x) = 40

Expanding the brackets, we have

160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0

Using the quadratic equation

x = (-b±√b²-4ac)/2a

Where a = 1
b  = 13
c = 30

x = (13 ± 7)/2

Thus x = 10; or x = 3.

x cannot be the answer because it invalidates 16-x<0;

Hence, the correct answer is x = 3

Learn more about Areas at:
#SPJ1

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Sherrie invested some money at 6% interest. Sherrie also invested $249 more than 4 times that amount at 12%. How much is investe
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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression
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A=l\cdot w.

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A=(3x^2 + 5x + 10)(x^2-3x-1)=3x^4-4x^3-8x^2-35x-10.

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