Select the points that lie on the function g(x) = -x2 (Choose all that apply.) (0, 0) (-3, -9) (3, -9) (-3, 9)

1 answer:

4 0

The function is :

$\displaystyle{ g(x)=-x^2$ ,

which means that "g of a number" is equal to "negative, the square of that number".

According to the function we calculate g(0), g(-3), g(3) as follows:

$g(0)=-0^2=-0=0\\\\g(-3)=-(-3)^2=-9\\\\g(3)=-3^2=-9$

This means that we have the points (0, 0), (-3, -9), and (3, -9) lying on the graph of the function.

Answer: (0, 0), (-3, -9), (3, -9)

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What is the length of EF in the triangle? Show your work. HELP!

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The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

$sinE = \frac{oppositeside}{hypotenuse} =\frac{13.6}{16.2} = 0.8395.$