(x+y)(y−x), if x=−3; y=5

16

Step-by-step explanation:

Substitute x = - 3, y = 5 into the expression

(- 3 + 5)(5 - (- 3)), that is

(2)(5 + 3)

= 2 × 8

= 16

answer: this is not a question

step-by-step explanation: this is a answer

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4