Step-by-step explanation:
V = 1/3 pi r^2 h
root(V ÷ 1/3 pi) = h
Your identity says ...
... sum of cubes = (sum)³ -3(product)(sum)
... = 4³ -3·1·4
... = 64 -12 = 52
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The two numbers are 2±√3, and the sum of their cubes is indeed 52.
Answer:
$300
Step-by-step explanation:
Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.
C + L = 360
C - 2/5 C = L + 2/5 C
Simplifying the second equation:
3/5 C = L + 2/5 C
1/5 C = L
Substituting into the first equation:
C + 1/5 C = 360
6/5 C = 360
C = 300
Connor originally had $300, and Luisa $60. Connor gave Luisa $120, and they both had $180.
Answer:
1. −7
Step-by-step explanation:
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Answer:
B. the product of the difference of x and 5 and the sum of x and 3
Step-by-step explanation:
We have the product of two binomials.
The first binomial is the difference of x and 5, since they are subtracted.
The second binomial is the sum of x and 3, since they are added.
Thus B is the correct answer.