: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw their respective
line segments in the above graph. If the school is relocated in a
way that it is collinear to the coffee shop and the library, and the
distance to the coffee shop is preserved, then the point
representing the school will partition the line segment from the
coffee shop to the library in a x: y ratio. What are the values of x
and y?

x = 7 and y = 1

Step-by-step explanation:

Coordinates of Coffee shop = (12, 16)

Coordinates of Library = (16, 8)

School has been shifted to the new position so that distance of school is preserved from the coffee shop.

Coordinates of the new position of school = (15, 10)

Ratio in which distance between coffee shop and library is divided by the location of school is x : y.

If a segment having extreme ends and is divided into two parts by point (x, y) in the ratio of m : n,

x =

y =

From the points given in the picture,

15 =

15x + 15y = 16x + 8y

15y - 8y = 16x - 15x

7y = x

Therefore, x = 7 and y = 1 will be the answer.

.mp4 files, because, video

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake