Need on this question
indicate whether the lines are parallel, perpendicular, or neither justify your answer.
5x+6y=18 and 2x+14y=21

the lines are neither parallel nor perpendicular

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange both equations and compare their slopes.

If slopes are equal then they are parallel.

If slopes are the negative inverse of each other then perpendicular.

5x + 6y = 18 ( subtract 5x from both sides )

6y = - 5x + 18 ( divide all terms by 6 )

y = - + 3

with m = -

2x + 14y = 21 ( subtract 2x from both sides )

14y = - 2x + 21 ( divide all terms by 14 )

y = - +

with m = -

Since slopes are neither equal nor negative inverses, then they are neither parallel nor perpendicular.

the answer is (-4,-4)

hope this ! : d

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.