Question

: Consider the distance from the school to the coffee shop and the

Answer 1

Answer:

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 $(x_1,y_1)$ and $(x_2,y_2)$ is divided into two parts by point (x, y) in the ratio of m : n,

x = $\frac{mx_2+nx_1}{m+n}$

y = $\frac{my_2+ny_1}{m+n}$

From the points given in the picture,

15 = $\frac{16x+8y}{x+y}$

15x + 15y = 16x + 8y

15y - 8y = 16x - 15x

7y = x

$\frac{x}{y}=\frac{7}{1}$

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