Line m contains the ordered pairs (11,-6) and (7,2). line p is perpendicular to line m and contains the ordered pairs (3,4) and (x,-2). what is the value of x

Step-by-step explanation:

Perpendicular lines means that their slopes are negative reciprocals of each other.

In other words, when you multiply the 2 slopes, that will gives us  -1.

Slope's formula is  m =

Now multiplying these 2 expressions and equating it to -1, we can solve for x:

x = -9

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.

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation: