The general equation of the circle is:

(h,k) is the center of the circle and r is the radius. We are given the coordinates of the center. So we can write the equation of the circle as:

In order to complete the equation, we need the radius of the circle. Using the given point we can find the radius. Using the point in the above equation, we get:

Thus the value of r² is 125. Using the value in equation of the circle, we get:

The radius of the circle is √125.
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

Using the quadratic formula, the solution for our problem is

The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have

The root is

Then, the maximum height is

1029.99 meters above sea level.
Answer:
<em><u>D</u></em><em><u> </u></em><em><u>7</u></em><em><u>,</u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>2</u></em> is the answer hope this helps✌
Answer:
The answer to your question is letter C
Step-by-step explanation:
Process
1.- Find two points of the line
A ( 0, 1)
B ( 1, -3)
2.- Find the slope of the line



m = -4
3.- Find the equation of the line
y - y1 = m (x - x1)
y - 1 = -4( x - 0)
y -1 = -4x
y = -4x + 1