Find the center of a circle with the equation:
x2+y2+10x−16y+75=0

ANSWER

The center is

EXPLANATION

The given circle has equation

An easy way to find the center is by comparing to the general equation of the circle

where (-g,-f) is the center.

By comparing, we have

Divide both sides by 2.

Also,

Divide both sides by 2

Therefore the center is

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

$79500

step-by-step explanation: