In the image, the distance from the swings to the slide is 35 feet. the distance from the slide to the bench is 12 feet. use the pythagorean theorem to find the distance from the bench to the swings.

c^2 = a^2 + b^2

looking for C the hypotenuse

a = 35

b = 12

These are the sides

c^2 = 35^2 + 12^2

c^2 = 1225 + 144

c^2 = 1369

Then take the square root of both sides to get C

C = 37

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)