Find the volume of this right triangular prism. Round to the nearest tenth.
10.2 cm
11.4 cm
10.2 cm
[ ? ]cm3

593.0 cm cubed.

Step-by-step explanation:

Volume of traingular prism equals to area of cross-section times height.

Area of cross-section is 52.02 ccm squared.

Multiply it with height.

The volume of the right triangular prism is 593.0 rounded to the  nearest tenths centimeters cubed.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this