Answer:
See below
Step-by-step explanation:
a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)
b) They are both 4 units away
c) I can't solve
d) I can't solve
The area of a trapezoid is:

A = area
a = base 1
b = base 2
h = height
Area = unknown
base 1 = 2.5
base 2 = 7.5
height = 2.5
^^^Plug these numbers into the formula!

A = (10/2)(2.5)
A = (5)(2.5)
A = 12.5
Hope this helped!
Answer:
132
Step-by-step explanation:
I think it’s 96. That’s what I got.
Terms: 3n, 5p, 2, n
Like Terms: 3n, n
Coefficients: 3, 5, 1
Constants: 2
Simplified Expression: 4n + 5p + 2