Step-by-step explanation:
You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:
That is:
Or:
Your correct it’s the first one
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
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Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.
Answer:
figure skates will be $1 cheaper.
Explanation:
<u>given equation</u>:
- to rent figure skates : f(x) = 1.50x + 2
- to rent hockey skates : h(x) = 2x +1.5
<u>solve for rent of figure skates</u>:
f(x) = 1.50x + 2.00
f(3) = 1.50(3) + 2.00
f(3) = 6.5
<u>solve for rent of hockey skates</u>:
h(x) = 2x + 1.5
h(3) = 2(3) +1.5
h(3) = 7.5
<u>cheaper - figure skates than hockey skates</u>:
$7.5 - $6.5
$1
