Answer:
<h2>The standard form: x² + (y + 1)² = 25</h2><h2>The general form: x² + y² + 2y - 24 = 0</h2>
Step-by-step explanation:
The equation of a circle:

(h, k) - center
r - radius
We have the center (0, -1) and the radius r = 5 <em>(look at the picture)</em>.
Substitute:

<em>use (a + b)² = a² + 2ab + b²</em>
<em>subtract 25 from both sides</em>

Answer:
y=mx+b
y=-4/5x+5b
Step-by-step explanation:
(0,-5)
(-5,-1)
-1+5 is 4
-5-0 is -5
-4/5 is the slope
use one of the points and substitute x to find the y intercept, which gives you the full equation, which is y=-4/5x+5
Answer:
32 laps
Step-by-step explanation:
If each mile is 1600 meters, she will need to run 4 laps per mile. To run 8 miles, multiple the laps for one mile (4) by the total number of miles (8) to get the total laps necessary (32).
Hope this helps!