180
2 * 90
2 * 3 * 30
2 * 3 * 2 * 15
2 * 3 * 2 * 3 * 5
2^2 * 3^2 * 5 <===
Answer:
The number of solutions to the given set of equations is 0.
Step-by-step explanation:
Number of solutions of a system of equations:
System of equations: ax = b
If a = 0 and b = 0, infinite solutions.
If a = 0 and b != 0, zero solutions.
If a != 0 and b != 0, one solution.
We are given the following system of equations:
y = 7x + 12
y = 7x + 2
So
7x + 12 = 7x + 2
7x - 7x = 2 - 12
0x = -10
a = 0, b != 0, so zero solutions.
The number of solutions to the given set of equations is 0.
Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:

And the mean absolute deviation is calculated as:

Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:

If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
2x + 2x+2 = -134
4x + 2 = -134
4x = -136 |: 4
x = -34
2x = 2 * (-34) = -68
2x + 2 = -68 + 2 = -66
This numbers are -66 and -68.
Answer: 
Step-by-step explanation:
By the Pythagorean theorem, the unknown side has length

Therefore,
