The two triangles are similar. <span>When two </span>figures<span> are </span>similar<span>, the ratios of the lengths of their corresponding sides are equal. We use this fact in order to calculate the height of the bigger triangle. We do as follows:
QP / SL = MN / SL+SR
25 / SL = 35 / SL + 13
SL = 32.5
Area = height x base / 2
Area = SL x MN / 2
Area = 32.5 x 35 / 2 = 568.75
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Answer:
(C)−3 ≤ x ≤ 1
Step-by-step explanation:
The average rate of change of function h over the interval
, is given by this expression:

Given the function
on the interval:− 3 ≤ x ≤ 1

The average rate of change:

Therefore, the function has a negative average rate of change over the interval − 3 ≤ x ≤ 1.
CHECK:
(A)Average rate of change of h(x) over the interval − 3 ≤ x ≤ 5=2
(B)Average rate of change of h(x) over the interval 1 ≤ x ≤ 4=5
(D)Average rate of change of h(x) over the interval − 1 ≤ x ≤ 5=4
Answer:
4x+1
Step-by-step explanation:
1/2 *(8x+2)=1/2*8x+1/2*2=4x+1
you add them together to get 8/8 and that simplifies to 1