Answer: 22, 38
3, 7
8, 12
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 22 and 38
--> 22 < P < 38
Perimeter = 2w + 2L
It is given that L = w + 5
Substitute P with 2w + 2L and substitute L with w + 5
22 < 2w + 2(w + 5) < 38
22 < 2w + 2w + 10 < 38
12 < 4w < 28
--> 3 < w < 7
Since L = w + 5, then w = L - 5
Substitute P with 2w + 2L and substitute w with L - 5
22 < 2(L - 5) + 2L < 38
22 < 2L + 2L - 10 < 38
32 < 4L < 48
--> 8 < L < 12
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)
P is the distance between the vertex and either the directrix or focus, in this case p = 1.
a = 1/(4p) or 1/(4*1) or 1/4
write the equation in vertex form
y = a(x-h)^2 + k
y = 1/4(x-8)^2 -7
Answer:
SA = 156π
Step-by-step explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the base radius, and h is the height.
We are given r = 6 and h = 7. Plug in those values and evaluate...
SA = 2π(6²) + 2π(6)(7)
SA = 2π(36) + 2π(42)
SA = 72π + 84π
SA = 156π
Answer:
b-14 = 9
b = 23
Step-by-step explanation:
Add 14 to 9 to get b alone.
