The equation 7^2=a^2 shows the relationship between a planet’s orbital period, t, and the planet’s mean distance from the sun, a, in astronomical units, au. if planet y is k times the mean distance from the sun as planet x, by what factor is the orbital period increased?

The period of Y increases by a factor of with respect to the period of X

Step-by-step explanation:

The equation shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?  

For the planet Y:  

For planet X:  

To know the factor of aumeto we compared with

We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:  

So

Then, the period of Y increases by a factor of with respect to the period of X

there are no answer choices

step-by-step explanation:

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: