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Leto [7]
4 years ago
10

How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?

Mathematics
1 answer:
nadya68 [22]4 years ago
5 0

Exactly the way you do it with numbers:

-- List all the factors of the first one.
-- List all the factors of the second one.
-- List all the factors of the third one.

-- Make a short list, consisting of the factors that appear
   on all three lists.  Those are the 'common' factors.

-- The greatest item on the short list is the greatest common factor. 


14m²,  27a³, and  45a²  don't have any common factor except ' 1 '.
Since ' 1 ' is their only common factor, it's also their greatest one.

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Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5
natka813 [3]

Answer:

The coordinates of the science lab is:

x = -14/3  ,  y = 1

Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}

∴ y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}

∴ x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}

∴ y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1

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