Answers:
Step-by-step explanation:
<em>We must simplify each option to see if they are equivalent to
.</em>
<em>Lets try A.</em>
can be simplified to
by dividing both the numerator and denominator by 3.
÷ 
A is correct!
<em>Lets try B</em>
simplifies to
. However, because this answer is not negative, it is not equivalent.
<em>Lets try C</em>
There is a negative in the numerator, making this fraction negative. So yes,
.
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
<em>Lastly, Lets try D</em>
There is a negative in the denominator, so this fraction is negative.
can be simplified by dividing by 3 to
.
÷3 = 
D is correct!
<em />
If the length is 2ft longer than it’s width
Let’s assume width as X and so the length will be X+2
Perimeter=40ft
Putting the values into a equation, we get,
X+2+X=40
=2X+2=40
=2X=38
=X=19
Therefore
Length =X+2=19+2
=21ft
Width=X=19ft
Area of rectangle =lxb
= 21x19
3992ft
HOPE IT WAS HELPFUL :)
Question 1:Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.


Now, subtract that from 207 to get the height of the smaller building.

That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

Distributive property

Subtract both sides by 1 and 2x

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)
Answer:
Hence, the average rate of change is:

Step-by-step explanation:
We are asked to calculate the average value of the function:
in 2 ≤ x ≤ 6
The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

Now,


Hence, the average rate of change is:

Hence, the average rate of change is:
