Question

Mary and Benjamin are driving to their friend Paar's house for a berday party Mary drives 9

Answer 1

Answer:

3.2 miles

Step-by-step explanation:

Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem

R = sqrt ( 9^2 + 6^2 )

R = sqrt ( 81 + 36 )

R = sqrt ( 117 )

R = 10.82 miles

while Ben drives 3 miles south and 7 miles west

Use the same pythagorean theorem to find the resultant displacement

R = sqrt ( 3^2 + 7^2 )

R = sqrt ( 9 + 49 )

R = sqrt ( 58 )

R = 7.62 miles

The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two

Difference = 10.82 - 7.62 = 3.2 miles.

Therefore, Mary live 3.2 miles from Benjamin.