Question

11.1: distance and midpoint formulas
score: 15/24 answered: 13/18
question 14
write the standard equation of the circle with
center:(-6, -15)
radius: √5
equation:
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Explanation:

Step1: Recall the standard equation of a circle

The standard equation of a circle is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Substitute the values of \(h\), \(k\), and \(r\)

Given \(h=-6\), \(k = - 15\), and \(r=\sqrt{5}\). Substitute into the formula:

$$
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$$

Answer:

\((x + 6)^2+(y + 15)^2=5\)