Given that the average rate of change fory=f(x)over the interval[0,3]is−1, the average rate of change over the interval[2,3]is 5, and the average rate of change over the interval[2,6]is 3, determine the average rate of change over the interval[0,6].

With the given information we can deduce:

The average rate of change over [0,6] would be

We can add and subtract the same quantities in order to rewrite this quantity in terms of known quantities:

b.-4 units

all you   do is count how many times you move

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc