(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
Answer:
Step-by-step explanation:
The lateral surface area excludes the area of top and bottom faces.
Given is the right pentagonal prism with side length of 7 in and height of 12 in.
<u>The lateral area is:</u>
- L = Ph = 5*7*12 = 420 in²
Correct choice is A
Answer:
A
Step-by-step explanation:
how long is the ball in the air ?
that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?
so, that means we need to find the zero solution of h(t).
at what t is h(t) = 0 ?
when at least one of the factors is 0 :
2(-2 - 4t)(2t - 5)
we have 3 factors
2 : can never be 0.
(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).
(2t - 5) : is 0 when 2t = 5 or t = 2.5
so, A is the right answer.
FYI : the starting height (on the hill) is given by t = 0 :
2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft
It will be 7.2 liters of milk
Answer:
D. 3,750
Step-by-step explanation:
Use proportions to solve:
125/500 = x/15000
Cross multiply:
125*15000 = 1,875,000
1,875,000/500 = 3,750
x = 3,750
