GCF is 4a^2
First find the GCF of whole numbers 16 and 12
16: 1, 2, 4, 8, 16
12: 1, 2, 3, 4, 6, 12
Gcf of 16 and 12 is 4
Now a^2 and a^4
Just look at the exponents
The highest you can take out of both of them is a^2
Now put the 4 and a^2 together
Answer is 4a^2
They would be the same being 250$ on the 5th month. The way I solved this is I made a equation for each being ( 10x + 200 = ) and ( 30x + 100 = ) If you put 5 in the place of x, you will multiply it by the 10 or 30 and add the original cost put in.
Answer:
A.96.25 steps. B. Approximately 37 steps shorter
Step-by-step explanation:
From Pythagoras theory,
Hyp² = Adj² + Opp²
Hyp² = 52² + 81²
Hyp² = 2704 + 6561
Hyp² = 9265
Hyp = √9265
Hyp = 96.25 steps
= 81 + 52 = 133 - 96.25
= 36.75 or approximately 37 steps shorter
Y = 5x + b
Plug in the point
35 = 5(-8) + b
35 = -40 + b, b = 75
Solution: y = 5x + 75
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
