joco9618 joco9618

21-10-2019
Mathematics

contestada

Given thre points A, B, C, where C is the midpoint of A and B
a. If A = −5 + 2i and C = 3 + 4i, find B.
b. If B = 1 + 11i and C = −5 + 3i, find A.

Respuesta :

aristeus aristeus

24-10-2019

Answer:

(a) Point B will be 11+6i

(b) Point B will be 11-5i

Step-by-step explanation:

We have given [tex]A=-5+2i[/tex] and [tex]C=3+4i[/tex]

We have given that C is the midpoint of A and B

We know that mid point is given by

[tex]C=\frac{A+B}{2}[/tex]

So [tex]3+4i=\frac{-5+2i+B}{2}[/tex]

[tex]{-5+2i+B}=6+8i[/tex]

[tex]B=11+6i[/tex]

(b) [tex]C=\frac{A+B}{2}[/tex]

[tex]-5+3i=\frac{1+11i+B}{2}[/tex]

[tex]-10+6i=1+11i+B[/tex]

[tex]B=-11-5i[/tex]

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