Squaring both sides of the given equation: w^2=7w, or w^2-7w=0.
w^2-7w=0 can be factored: w(w-7)=0. Then, w=7 or w=0. Both 0 and 7 are solutions of this equation.
Answer: 10x + 50
Step-by-step explanation:
lets say that x is equal to the amount of weeks that she runs. She starts off the first week with 50
Then, since she is adding 10 every week, you would do 10x, or 10 times the amount of weeks that she runs.
Since you originally started with 50, you have to add the 50 to the 10x.
So you get...
<h3>
10x + 50</h3>
For example
on week 2, if you plug in 2 to x you get
10(2) +50
20 + 50
70 laps after the second week
9514 1404 393
Answer:
- square: 12 ft sides
- octagon: 6 ft sides
Step-by-step explanation:
This problem can be worked in your head.
If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.
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We can let s represent the side length of the octagon. Then we have ...
8s = perimeter of octagon
4(s +6) = perimeter of square
These are equal, so ...
4(s +6) = 8s
s +6 = 2s . . . . . . divide by 4
6 = s . . . . . . . . . . subtract s
The octagon has 6-ft sides; the square has 12-ft sides.
Answer:
AB = 5
Step-by-step explanation:
The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.
In this case we just divide 10 by 2
Answer:
C.
Step-by-step explanation:
As we can see on the graph C is our answer.
