3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings. Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.

(a) Find the distance from the fountain to the slide. Show your work.
(b) Find the distance from the fountain to the swings. Show your work.

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

• Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

• Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

step-by-step explanation:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743