Graph the system of equations on your graph paper to answer the question.

{y=x−4 y=−x+6

what is the solution for this system of equations?

The solution is the point (5,1)

Step-by-step explanation:

we have

-----> equation A

-----> equation B

Solve the system by graphing

Remember that the solution of the system by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (5,1)

see the attached figure

Note: In this problem the lines are perpendicular because the slopes of the lines are opposite reciprocal

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.