1st picture question
6 1/2 miles in a 1/2 hour
13 miles in an hour
19.5 miles in 1 1/2 hrs
26 miles in 2 hrs
32.5 miles in 2 1/2 hrs
3rd picture question
36/4= 9 songs per commercial
5 th question
37.5/3
12.50$ per day
12.5x is your answer
Simplify the following:
sqrt(5) - 16 + sqrt(15) - 8
Grouping like terms, sqrt(5) - 16 + sqrt(15) - 8 = sqrt(15) + sqrt(5) + (-16 - 8):
sqrt(15) + sqrt(5) + (-16 - 8)
-16 - 8 = -24:
Answer: sqrt(15) + sqrt(5) + -24
Answer:
d
Step-by-step explanation:
d because there are no numbers common to both sets
28.30 is the square root of 800
In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.
The rectangle has sides of length x and 32 - x.
The area of the rectangle is
A = LW
A = x(32 - x)
A = 32x - x^2
y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.
32x - x^2 = 0
(32 - x)x = 0
32 - x = 0 or x = 0
x = 32 or x = 0
Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.
At x = 16, you get maximum area.
Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.
Since all sides turned out to have length 16 ft, the rectangle is a square.
Answer: The maximum area is enclosed by a square with side 16 ft.
