Distance from point C to point D: same x coordinate, 4-1=3; 3 units
Distance form point D to F: same y coordinate, 5-2=3
Perimeter is the measure of all sides
3+3+3+3=12
Solution: A. 12 units
Answer:
<1 and <3
Step-by-step explanation:
Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:

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<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
Yes, you're right! The first step is rewriting the equation as

Subtract
from both sides:

Use the property
to rewrite the equation as

Divide both sides by 

Alternative strategy:
Consider both sides as exponents of e:

Use
to write

Divide both sides by a:

Consider the logarithm base b of both sides:

The two numbers are the same: you can check it using the rule for changing the base of logarithms