To different companies offer online gaming subscriptions. company a charges $75 upfront and then $20 per month. company b does not charge an upfront fee, but charges $35 per month. after how many months will the two companies charge the same amount?

Hello! To solve this equation, let's set it up like this: 75 + 20m = 35m. This is because Company B does not charge an upfront fee, so all you have to do is 35m and Company A charges $75 upfront and then $20 per month, so you do 75 + 20m. First, you subtract 20m from both sides. When you do, you get 75 = 15m. Now, you divide each side by 15 to isolate the m. When you do that, you get 5. Let's plug in the numbers to see what we get. 20 * 5 is 100 + 75 = 175. 35 * 5 =175. 175 = 175. There. The two companies will charge the same amount in 5 months. m = 5.

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.