The function f(x) equals negative x squared plus 8x -7 is translated five units down write a new equation in vertex form and state the vertex

answer:

longer - 20 in and shorter - 12 in

step-by-step explanation:

we know that when we subtract the shorter side from longer we get two cuts named   x:

2 x = a - b   => a - b = 2 x

one of this section ( x ) with height ( h ) and lateral (congruent non parallel) side ( c ) make right triangle, from which we get:

x² = c² - h²   and c = 5 in, h = 3 in

x² = 5² - 3² = 25 - 9 = 16 => x = √16 = 4 => x = 4 in

now we will replace x = 4   in the equation   a - b = 2 · 4 = 8 and get first equation of the system.

a - b = 8

we also know that the formula for calculating perimeter is:

p = a + b + 2 c   where p = 42 in and c = 5 in

a + b = 42 - 2 · 5 = 42 - 10 = 32

now   we get the second equation of the system:

a + b = 32

a - b = 8  

when we add first equation to the second we get:

2 a = 40 => a = 40 / 2 = 20 => a = 20 in

when we replace a = 20 in the first equation we get:

20 + b = 32   => b = 32 - 20 = 12 => b = 12 in

god with !

answer:

step-by-step explanation:

the volume of the cone can be calculated using the formula

in you case,

then the exact volume of the cone is