Find the GCF of the monomials: 18x² and 21x²y
1 answer:
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We have the expression 
. To write a equivalent expression, we are going to rewrite the denominator of our expression using its common denominator 4:
Now, notice that we are basically diving 1 by
, so we have a division involving fractions, and remember that to divide fractions, we just need to invert the second fraction and multiply:
We can conclude that the equivalent expression of is 
.
Now, notice that we are basically diving 1 by
We can conclude that the equivalent expression of
Answer:
Fir trees are 9 meters and the pine trees are 12 meters tall.
Step-by-step explanation:
Let the height of the fir tree = x and the height of the pine tree = y (in meters).
It is given that the combined height of both the trees is 21 meters.
That is,
Also, the height of 4 fir trees is 24 meters more than that of the pine tree.
That is, i.e.
So, we get the system of equations,
x+y=21
4x-y=24
Adding both the equations, gives us,
5x = 45 i.e. x= 9.
So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.
Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.