Answer:
![LCM(56,136)=952](https://tex.z-dn.net/?f=LCM%2856%2C136%29%3D952)
Step-by-step explanation:
To find the LCM of two numbers, factorize both these numbers:
![56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17](https://tex.z-dn.net/?f=56%3D2%5Ccdot%2028%3D2%5Ccdot%202%5Ccdot%2014%3D2%5Ccdot%202%5Ccdot%202%5Ccdot%207%3D2%5E3%5Ccdot%207%5C%5C%20%5C%5C136%3D2%5Ccdot%2068%3D2%5Ccdot%202%5Ccdot%2034%3D2%5Ccdot%202%5Ccdot%202%5Ccdot%2017%3D2%5E3%5Ccdot%2017)
These two numbers have the common factor of ![2^3.](https://tex.z-dn.net/?f=2%5E3.)
Now multiply this common factor by the remaining factors:
![LCM(56,136)=2^3 \cdot 7\cdot 17=952](https://tex.z-dn.net/?f=LCM%2856%2C136%29%3D2%5E3%20%5Ccdot%207%5Ccdot%2017%3D952)
Therefore, the LCM is 952.
Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line
Answer:
D. Incomplete randomization
Step-by-step explanation:
1/2+ 1/4
= 2/4+ 1/4
= 3/4
1/12+ 1/6
= 1/12+ 2/12
= 3/12
= 1/4
Therefore, 1/4+ 1/6+ 1/12
= (1/12+ 1/6)+ (1/12+ 1/6)
= 2*(1/12+ 1/6)
= 2* (1/4)
= 2/4
= 1/2
Hope this helps~
The answer is ..........2/3