do this one with steps please

Question

Martha and Will attend the same college. Martha's house is due north of the school. and Will's house is due east of the school. Martha's house is 3 miles further from the school than Will's house.

If the distance between Martha's house and Will's house is 9 miles, determine how far Martha's lives from the school and how far Will lives from the school.

Answer 1

Draw and label a diagram!

d represents the distance Will is from school

d + 3 represents the distance Martha is from school

 

d² + (d + 3)² = 9²      Pythagoras

 

Dan you solve for d and answer?

Answer 2

Draw a sketch, Peter. If drawn correctly, you should form a right triangle with legs of x and (x + 3) if you let x = the distance Will's house is from the school. The hypotenuse of the right triangle is 9. We can use the Pythagorean Theorem:

 

a² + b² = c²

 

Our problem becomes:

 

x² + (x + 3)² = 9²

 

x² + x² + 6x + 9 = 81

 

2x² + 6x - 72 = 0

 

x² + 3x - 36 = 0

 

You can use the Quadratic Formula to solve this equation, which is written in standard form (Ax² + Bx + C = 0)

 

A = 1, B = 3, C = -36