The variable z varies jointly with x and y. also, z = -75 when x = 3 and y = -5. what equation describes this variation? what is the constant of variation? k =

z = 5xy

Step-by-step explanation:

since z varies jointly with x and y then

z = kxy ← k is the constant of variation

to find k use the given condition z = - 75 when x = 3 and y = - 5

k = = = 5 and

z = 5xy ← equation of variation

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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.