Mathematics: If P(x 3), Q(7, -1) and PQ= 5 units, find the possible value of x.

If P(x 3), Q(7, -1) and PQ= 5 units, find the possible

Ответ:

Trevon0906

14.02.2022

Mathematics

Given :

P(x 3), Q(7, -1) and PQ= 5 .

To Find :

The possible value of x.

Solution :

We know, distance between two points in coordinate plane is given by :

$PQ = \sqrt{(x-7)^2 + ( 3-(-1))^2}\\\\PQ^2 = (x-7)^2 + ( 3-(-1))^2\\\\(x-7)^2 + 4^2 = 5^2\\\\( x- 7)^2 = 3^2 \\\\x - 7 = \pm 3\\\\x = 10 \ and \ x = 4$

Therefore, the possible value of x are 10 and 4.

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Ответ:

donaji1024perez

28.07.2021

Mathematics

yes

Step-by-step explanation:

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If P(x 3), Q(7, -1) and PQ= 5
units, find the possible value of x.

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