Question

Jayda's house is located at (1, 5). She can walk in a straight line to get to Cristian's house. A fast-food restaurant is located at (9, 1) and partitions the way from Jayda's house to Cristian's house by a ratio of 4:1. Find the coordinate of Cristian's house.

Answer 1

Answer:

(11,0)

Step-by-step explanation:

We are going to solve this problem using section formula

Section formula is

$x=\frac{mx_{2}+nx_{1}}{m+n}$

$y=\frac{my_{2}+ny_{1}}{m+n}$

Here in this problem we are given that

$x_{1} = 1\\x_{2}= ?\\y_{1}=5\\y_{2}=?\\m=4\\n=1$

Replacing those values in the above mentioned section formulas

$9=\frac{4x_{2}+1*1}{4+1}\\9=\frac{4x_{2}+1}{5}\\45=4x_{2}+1\\44=4x_{2}\\x_{2}=11$

$1=\frac{4y_{2}+1*5}{4+1}\\1=\frac{4y_{2}+5}{5}\\5=4y_{2}+5\\0=4y_{2}\\y_{2}=0$

Hence the coordinates of Cristian's house are (11,0)

Answer 2

Answer:

Its 11. Hope it helps!