9514 1404 393
Answer:
p(1) = 6
Step-by-step explanation:
The basic idea is to put 1 wherever you see x. That gives you ...
p(1) = 2·1² +3·1 +1
The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:
p(1) = 2 + 3 + 1
p(1) = 6
The puppy is 3/4 of a pound.
If the two angles are congruent then d=b , e=a , and f=c. That means that EF=AC so the equation is x-5=15. so x=20. Hope this helps!!!
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
112/2=56 (sum of both lengths)
4x=56
x=14
length=42
width=14
