Point D'D ′
D, prime is the image of D(-2, 1)D(−2,1)D, left parenthesis, minus, 2, comma, 1, right parenthesis under a reflection across the xxx-axis.
What are the coordinates of D'D
′
D, prime?
(

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.