Answer:

Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:

Substitute:

We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:

Substitute (-6, -10) and (-8, -6):

Finally we have

Answer:
y=7x-188
Step-by-step explanation:
We know that this line must have a slope of 7, because this line is parallel to y=7x+13
We must use the point slope formula: y-
= m(x-
)
Next, we will plug in the point (28,8) for
and
, and 7 in for m
y-8=7(x-28)
Solve the equation, first by distributing the 7
y-8=7x-196
Add the 8 over
y=7x-188
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity

Identify following
Solve:


The sum of this infinity series is 4
<span>Whenever we are given one function and must calculate a funciton of the funciton, such as g(f(x)) in this case, we simply substitute the second function, f(x) in this case, in the first function, g(x) in this case, wherever the first function has a variable. Therefore,
g(f(x)) = (3x + 2)^2 + 1
g(f(x)) = 9x^2 + 12x + 4 + 1
g(f(x)) = 9x^2 + 12x + 5</span>