Brandy looks around at an assembly. She notices her younger sister to her right and her older brother 12 feet ahead of her. If Brandy's brother and sister are 15 feet apart, how far apart are Brandy and her younger sister?

9 ft

Step-by-step explanation:

The three people form a triangle. Use Pythagorean Theorem to find the distance.

12² + x² = 15²

144 + x² = 225        Simplify the squares

-144         - 144        Subtract 144 from both sides

x² = 81                     Take the square root of both sides

x = 9

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step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )