Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
Answer:
the length of the missing side is 2
Step-by-step explanation:
Use a^2 + b^2 = c^2
a = 4
b = ?
c = 2sqrt5
4^2 + b^2 = (2sqrt5)^2
16 + b^2 = 20
subtract 16 from both sides
b^2 = 4
take the sqrt of both sides
b = 2
Answer:
f(-5) = 4(-5) + 1 = -20 + 1 = -19
f(-1) = 4(-1) + 1 = -4 + 1 = -3
f(2) = 4(2) + 1 = 8 + 1 = 9
f(3) = 4(3) + 1 = 12 + 1 = 13
f(5) = 4(5) + 1 = 20 + 1 = 21
These are the same line when you graph. So there are infinite solutions to this system.
Answer:
35
Step-by-step explanation:
