Asegment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint?
a.–10 –2i
b.3 – i
c.9 – 2.5i
d. 18 – 4i

Option B is correct that is 3-i

Step-by-step explanation:

We have been given one end point at 11 -3i

And the mid point is 7 -2i

Suppose we have a line segment AB and C be its midpoint

So, let A(11,-3i) and C(7,-2i)

We have to find B

We can find B by Mid-point  formula which is:

Here,

And we have to calculate

On substituting the values in the formula we get:

On comparing the variables we get;

The general form of complex number is: a+bi

here, a=3 and b=-1

hence, 3-i

Hence, Option B is correct that is 3-i

question:

could we have options?

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!