Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -5 - 5 cos θ

The graph of polar equation is symmetric about the x-axis.

Step-by-step explanation:

The given polar equation is

If and lie on the graph then the graph of polar equation is symmetric about the x-axis.

Substitute in the given equation.

Cosine is an even function.

Point lies on the graph, therefore the graph of polar equation is symmetric about the x-axis.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: