Asegment in the complex plane has a midpoint at −1.5 + 3.5i. if one endpoint of the segment is at 4 + 6i, what is the other e

Other endpoint will be (i - 7).

Step-by-step explanation:

A segment in the complex plane has a midpoint at (-1.5 + 3.5i).

If one end point of the segment is at (4 + 6i) then we have to find other endpoint.

Let the other endpoint is x.

As we know midpoint x' of a segment having two endpoints a and b is represented by

So

x = -(4 + 6i) + (-3 + 7i)

x = -4 - 3 - 6i + 7i

x = (i - 7)

Other endpoint will be (i - 7)

answer;

the correct answer

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.