To get the Greates Common Factor (GCF) of 15 and 57 we need to factor each value first and then we choose all the copies of factors and multiply them:
<span>The Greates Common Factor (GCF) is: 3</span>
Answer:
a) Total cost = 49 + 38.75m
b) Total cost = 149 + 38.75m
c) The graphs of the lines are parallel and both has slope of - 2.5
d)Difference in total cost = $132.5
Step-by-step explanation:
Total cost , TC = Initial membership fee + monthly charges
a) TC = 49 + 38.75m
b)TC = 149 + 38.75m
d) 149 + 38.75(6months) = 381.5
49 + 38.75(12months) = 514
Difference in total cost = 514 -381.5 = $132.5
Answer:
Yes they are
Step-by-step explanation:
If you reduce them
3:9, divide each by 3, you get 1:3
2:6, divide each by 2, you get 1:3
You threw the baseball 40 feet.
This can be represented as two right triangles. The legs of your friend's triangle, the forward distance and distance right, are 15 and 20. Using the Pythagorean theorem, we find the diagonal distance from your friend's starting point:
20²+15²=c²
400+225=c²
625=c²
Take the square root of both sides:
√625=√(c²)
25=c
The legs of your right triangle are 12, your distance forward, and 9, your distance right:
12²+9²=c²
144+81=c²
225=c²
Take the square root of both sides:
√225=√(c²)
15=c
The total diagonal distance is 25+15=40 feet.
So recall that a difference of squares looks something like this:
= (x+2)(x-2)
Everything within the parentheses is the exact same-except for the plus and minus signs! If you multiply the first two terms (the two x's in the example above), you'll get
. If you multiply -2 by x and +2 by x, you'll get -2x + 2x, which equals 0 and cancel out. Then you multiply +2 by -2 to get -4.
So in the above options, only 16
-81 is a difference of squares, since it simplifies down to (4x + 9)(4x - 9).
