In ΔUVW, the measure of ZW=90°, the measure of ZU=11º. and WU = 42 feet. Find the length of VW to the nearest tenth of a foot.

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Ответ:

HalpMehPlz

24.01.2021

Mathematics

f(x)=-x^2

Step-by-step explanation:

In mathematics,the starting point on a grid is called an origin. It is the point (0,0), where the x-axis and y-axis intercept.

Thus to check which function passing through the origin, we need to check for x=0, y=f(x) must equals to 0.

1. f(x)=(x+4)^2

At x=0, f(0)=(0+4)^2=4^2=16

⇒f(x) is not passing through origin.

2. f(x)=x(x-4)

At x=0, f(0)=0(0-4)=0

⇒f(x) passing through origin.

But the vertex form of equation is f(x)=x^2-4x-4+4=(x-2)^2-4

⇒ vertex of f(x)=(2,4)

3. f(x)=(x-4)(x+4)

At x=0, $f(0)=(0-4)(0+4)=-4\times4=-16$

⇒f(x) is not passing through origin.

4. f(x)=-x^2

At x=0, f(0)=0^2=0

⇒f(x) passing through origin.

Vertex form of equation= f(x)=-1(x-0)+0

⇒ vertex=(0,0)

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In ΔUVW, the measure of ZW=90°, the measure of ZU=11º. and WU = 42 feet. Find the length of VW to the nearest tenth of a foot.​