31. modeling with mathematics
your school lies directly between your house and the movie theater. the distance from your house to the school is one-fourth of the distance from the school to the movie theater. what point on the graph represents your school?

(-2.2, -1.2) on the graph represents your school.

Step-by-step explanation:

By the given figure,

The point that represents the house = (-4, -2), ( let H )

And, the point that represents the theater = (5, 2)  ( let T )

Suppose S represents the point that shows the school,

According to the question,

S is between the line segment HT such that the distance from H to the S is one-fourth of the distance from S to the T,

i.e. the point S divides the segment HT into the ratio 1 : 4 internally,

By the segment formula,

The coordinates of point S,

Hence, (-2.2, -1.2) on the graph represents your school.

5104.38 inches

step-by-step explanation: