Answer:

Step-by-step explanation:
We want to simplify:

To simplify this, we need to write the negative index as positive.
So we use the property,

When we apply this property, we get:

Therefore the fourth option is correct.
Edited answer: 97 girls didn't have brown eyes
Work Shown: 136 girls in total, then subtract that by how many girls did have brown eyes. And you get the equation 136-39= which equals to 97 girls.
Answer:
(12,10)
Step-by-step explanation:
Let the midpoint of the side opposite this vertex have coordinates B(a,b)
We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).
The centroid divides AB internally in the ratio 2:1
We use the formula:

where m:n=2:1 is the ratio of internal division.
We substitute the coordinates of A and B and the ratio to get:

This should simplify and give us the centroid.

This implies that:

We solve for a and b


Therefore the midpoint of the side opposite this vertex is (12,10)
Yes
Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
6.1 + 13.2 = 19.2
19.3 > 16.2 ✔️
6.1 + 16.2 = 22.3
22.3 > 13.2 ✔️
13.2 + 16.2 = 29.4
29.4 > 6.1 ✔️