The coordinate of Cristian's house is (11, 0).
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 (7, 2) and partitions the way from Jayda's house to Cristian's house by a ratio of 3:1.
The coordinate of Cristian's house.
Coordinates are the group of a number used to indicate the position of a point in a graph or at a scale.
Let the coordinate of Cristian's house be [tex]\rm (x_2, y_2).[/tex]
The coordinate of Cristian's house is determined by using the following formula.
[tex]\rm x = \dfrac{nx_1+mx_2}{m+n}\\ \\ y = \dfrac{ny_1+my_2}{m+n}\\[/tex]
Therefore,
The coordinate of Cristian's house is,
[tex]\rm x = \dfrac{nx_1+mx_2}{m+n}\\\\ 9 = \dfrac{1\times 1+4\times x_2}{1+4}\\ \\9 = \dfrac{1+ 4x_2}{5}\\\\ 9\times 5 = 1+4x_2 \\\\ 45 = 1+4x_2\\\\ 45-1=4x_2\\ \\ 4x_2=44 \\\\\ x_2 = \dfrac{44}{4} \\\\ x_2 =11 [/tex]
And the other of Cristian's house is,
[tex]\rm y = \dfrac{ny_1+my_2}{m+n}\\\\ 1 = \dfrac{1\times 5+4\times y_2}{1+4}\\\\ 1 = \dfrac{5+4y_2}{5}\\\\ 1\times 5= 5+4y_2\\ \\ 5 = 5+4y\\\\ 4y_2=5-5\\ \\ 4y_2=0\\\\ y_2=\dfarc{0}{4}\\ \\ y_2=0[/tex]
Hence, the coordinate of Cristian's house is (11, 0).
To know more about Coordinate click the link is given below.
https://brainly.com/question/14457392
