Suppose sin(x) = -3/5 and cos(x) < 0. What the value of cos(2x)? A) -16/25
B) -7/25
C) 7/25
D) 16/25

The value of cos(2x) = 7/25

Hence, option C is true.

Step-by-step explanation:

Using the trigonometric identity

cos 2x = 1 - 2sin²x

Given

so substituting the values

cos 2x = 1 - 2sin²x

           = 1 - 2 (-3/5)²

           = 1 - 2 (9/25)

           = 1 - 18/25

           = 7/25

Therefore,

The value of cos(2x) = 7/25

Hence, option C is true.

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.

11 feet 6 inches and 8 feet 6 inches