Evaluate h(x)=−2x+9 when x=−2,0, and 5.

13, 9, -1

Step-by-step explanation:

Plug each number in separately.

Using -2:

-2(-2) + 9

4 + 9

= 13

Using 0:

-2(0) + 9

0 + 9

= 9

Using 5:

-2(5) + 9

-10 + 9

= -1

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4