The midpoint of a segment divides the segment into equal halves
The other endpoint is 1- 5i
<h3>How to determine the missing endpoint </h3>The coordinates are given as:
Point 1: 7 + i
Midpoint: 3 - 2i
Represent the other endpoint with x.
So, we have:
2 * Midpoint = Point 1 + x
This gives
Collect like terms
Evaluate the like terms
Hence, the other endpoint is 1- 5i
Read more about midpoints ta:
Answer:
Step-by-step explanation:
Given the following expression shown in the picture:
You need to use a process called "Ratinalization".
By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.
Then, in order to simplify the expression, you can follow the following steps:
<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by , which is the conjugate of the denominator
.
<em>Step 2</em>. Then you must apply the Distributive property in the numerator.
<em>Step 3</em>. You must apply the following property in the denominator:
Therefore, applying the procedure shown above, you get:
<em>Step 4</em>. You can observe that the expression can be simplified even more. Since:
You get: