The 250m between Sam's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between Sam's school and the library if they are 8.4 cm apart on the same map?

Step-by-step explanation:

firstly we need to find the scale factor

firstly we know that 250m=25000cm

25000/5=5000

so 1:5000 is scale factor.

Now let us find the distance between Sam's school and the library

if they are 8.4 cm apart on map it means that in actual distance they are

(8.4)*5000=42000 cm in reality

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)