Answer:
(3, 0)
Step-by-step explanation:
A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.
The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:
The directrix is at y = k - p, and focus is at (h, k + p).
Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:
Comparing with the standard form:
The center = (h, k) = (3, 4)
Also, -16 = 4p
p = -4
Directrix is at y = k - p = 4 - (-4) = 8
Directrix is at y = 8
The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)
The focus is at (3, 0)
4/9 cm^2 and I hope the picture explains it
The correct question in the attached figure
case A) an=2<span>^(n-1)
for n=8
a8=2</span>^(8-1)-----> a8=2<span>^7----> a8=128
the answer case A) is a8=128case B) an=7
then for n=8
a8=7
the answer case B) isa8=7case C) an=1+(-1)</span><span>^n
for n=8
a8=1+(-1)</span><span>^8----> a8=1+1----> a8=2
the answer case C) isa8=2case D)an=-(-2)</span><span>^n
for n=8
a8=-(-2)</span><span>^8----> a8=-256
the answer case D) isa8=-256</span>
That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.
If you had 2a+3a, then it would simplify to 5a
Similarly, 2b+3b = 5b
Or you could have 2ab+3ab = 5ab
The key is that the variable portions must match up to be able to add them.
