If(2-3i)+(x+y)=6, what is x+y?

Dear user,

Answer to your query is provided below

x + yi = 4 + 3i

Step-by-step explanation:

(2 − 3i) + (x + yi) = 6

=> 2 + x - 3i + yi = 6

=> (x + 2) + (y - 3)i = 6 + 0i

Equating coefficients:

x + 2 = 6 => x = 4

y - 3 = 0 => y = 3

Therefore x + yi = 4 + 3i

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

oof

step-by-step explanation: