Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:

And we want to find the average rate of change over the interval:

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:

And our second endpoint is given by:

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

The average rate of change is 2.
Answer:
V =
cubic units
Step-by-step explanation:
Given the information
- A right triangular prism has the height is equal to the leg length of the base.
- The right triangles have 2 sides with a length of x
=> the height = x
As we know, the formula used to determine the volume of a right triangular prism is:
V = The base area * the height
In this situation, we have
V = 
<=> V =
cubic units
Hope it will find you well
Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
<em>Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;</em>
<em>AD = CD and BD = BD</em>
<em>We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency</em>