3 years ago

15. Answer the following questions regarding the function

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

(e) If f a polynomial or rational function?

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The figure below shows a tent with wires attached to help stabilize it. The length of each wire is 8 feet greater than the dista

Anestetic [448]

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The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]

Step-by-step explanation:

<em>The image of the tent is attached.</em>

<em />

As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.

The pythagorean theorem tells us:

Hypotenuse^2 = Leg^2 + Leg^2

THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:

$(x+8)^2=(x+7)^2+x^2$

We expand and solve for x:

$(x+8)^2=(x+7)^2+x^2\\x^2+16x+64=x^2+14x+49+x^2\\x^2+16x+64=2x^2+14x+49\\x^2-2x-15=0\\(x-5)(x+3)=0\\x=5,-3$

Length can't be negative, so x = 5.

Hence, the 3 sides of the triangle are:

x = 5

x + 8 = 13

x + 7 = 12

The length of 2 wires are 13 feet and 12 feet

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