Mathematics: Find the domain and range of the relation and determine whether it is a function

Find the domain and range of the relation and

lexybellx3

10.11.2020

$10=\sqrt{\left(x_{2}-8\right)^{2}+\left(y_{2}-9\right)^{2}}$ is used to calculate the coordinates for point B

Solution:

Given that, Segment AB has point A located at (8, 9)

Distance from A to B is 10 units

So, to find the coordinates for point B, we can use the distance between two points formula

Let the coordinate of point B be (x_2, y_2)

Distance between two points $A(x_1, y_1) \text{ and } B(x_2, y_2)$ is given by:

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here in this sum,

A(x_1, y_1) = (8, 9)

B(x_2, y_2) = ?

Distance = 10 units (given )

Substitute the values in above formula,

$10=\sqrt{\left(x_{2}-8\right)^{2}+\left(y_{2}-9\right)^{2}}$

The above equation is used to find the coordinates for point B

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