The frostburg-truth bus travels on a straight road from frostburg mall to sojourner truth park. the mall is 3 miles west and 2 miles south of the city center. the park is 4 miles east and 5 miles north of the center. how far is it from the mall to the park to the nearest tenth of a mile?

Let

A--------> the coordinates in a Cartesian Plane of Frostburg Mall

B--------> the coordinates in a Cartesian Plane of Sojourner Truth Park

C--------> the coordinates in a Cartesian Plane of City Center (0,0)

Step

Find the coordinates of Frostburg Mall (point A)

we know that

The mall is miles west and miles south of the City Center

so

Point A is equal to

Step

Find the coordinates of Sojourner Truth Park (point B)

we know that

The park is miles east and miles north of the City Center

so

Point B is equal to

Step

Find the distance point A and point B

we know that the distance formula is equal to

therefore

the answer is

The distance from the mall to the park is

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this