Mathematics: Point a pq and r are collinear on pr and pq: pr =2/3. p is located on the origin q is located at (x,y) and r is located at (-12,0) . what are the values of x and y

Point a pq and r are collinear on pr and pq: pr =2/3.

Ответ:

tiffanyliu1

12.03.2022

The values of x and y are 8 and 0 respectively.

Explanation

As 'p' is located at (0,0) and 'r' is located at (-12,0) , that means both 'p' and 'r' are on the x-axis. So point 'q' will be also on the x-axis , and 'q' is located at (x,y)

So, the value of y will be 0. That means the co ordinate of point 'q' is (x, 0)

Now, using the Distance formula, length of 'pq' $= \sqrt{(x-0)^2 +(0-0)^2}= \sqrt{x^2}= x$

and length of 'pr' $= \sqrt{(-12-0)^2+(0-0)^2}= \sqrt{144}=12$

Given that, pq : pr =2/3

So....

$\frac{x}{12} =\frac{2}{3}\\ \\ 3x=24\\ \\ x= \frac{24}{3}=8$

Thus, the values of x and y are 8 and 0 respectively.

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Ответ:

paatnguyyen

07.11.2020

Mathematics

$37

Step-by-step explanation:

-$17+-$20

0,0(0 оценок)

Point a pq and r are collinear on pr and pq: pr =2/3. p is located on the origin q is located at (x,y) and r is located at (-12,0) . what are the values of x and y

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