Answer:

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

(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:

Substitute:

The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:

Substitute the coordinates of the points (2, 1) and (5, -4):

Finally we have:

1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.
We can represent 11 more as +11.
This, our expression is 1/3x+11
Hope this helps!
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
Answer:
-12π
Step-by-step explanation:
Answer:
19) (
)^2 = 
20) -
= -81
21)
= 16
Step-by-step explanation:
The only wrong ones are
19) (
)^2 = 
20) -
= -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is
= 16
Everything else looks good. Great job!