Suppose astronomers built a 50-meter telescope. how much greater would its light-collecting area be than that of the 10-meter keck telescope?

Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.

Step-by-step explanation:

1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:

Where r is the radius of the circle.

2. The diameter of a circle is:

Where r is the radius of the circle.

3. Therefore, keeping this on mind, you have that the light-collecting area of a  50-meter keck telescope is:

4. And the light-collecting area of a 10-meter keck telescope is:

5. Divide by , then:

6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point