<span>Simplifying
4x2y + 12xy2 + 9y3
Reorder the terms:
12xy2 + 4x2y + 9y3
Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)
Factor a trinomial.
y((2x + 3y)(2x + 3y))
Final result:
y(2x + 3y)(2x + 3y) if its not sorry
</span>
Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!
Answer:
See attached picture.
Step-by-step explanation:
Graph the function as (x,y) points.
(-3,5)
(4,6)
(6,-9)
(9,-10)
These are graphed in black on the picture.
To graph the inverse, switch the points from (x,y) to (y,x).
(5,-3)
(6,4)
(-9,6)
(-10,9)
These are graphed in red on the picture.
Answer:
13.9
Step-by-step explanation:
7^2 + 12^2 = c^2
49 + 144 = 193
square root 193
and it’s 13.9
