A rectangular prism with a length of 4 and one-fourth units, height of 2 units, and width of 1 unit. What is the volume of the prism? whole unit cubes fit inside the prism. quarter cubic units fit inside the prism. The total volume of the prism is units3.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate

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