Answer:
11
Step-by-step explanation:
Answer:
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
Since they are the same answer choice. Should be (-3x-6i)(x-2i) should be the correct answer.
Step-by-step explanation:
The polynomial -3x^2-12 can be factored using GCF into -3(x^2+4).
x^2+4 is a sum of squares and factors into the form (x+ai)(x-ai).
x^2+4 factors into (x+2i)(x-2i).
We put them together and have -3(x+2i)(x-2i) = (-3x-6i)(x-2i)
Answer:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
Undo what has been done to the variable. That means to do the opposite done to the variable.
5x-4=-19
+4=+4
5x=-15
5 is being multiplied to the variable so you divide it from both sides.
x=-3
The first thing that we want to do is simplify both side of this equation.
2(m-8).
The first thing we have to do, is multiple 2 by m and -8, also called distributing. So, when we do that, we get
2(m-8)=2*m + 2*-8 = 2m-16
4(m+6)
Now, we do the same thing we did for the first parenthesis, and that's multiple 4 by m and 6.
4(m+6)=4*m + 4*6 = 4m+24
Now, we need to get m by itself on one side. So, lets bring the equation from the right to the left
2m-16 = 4m + 24 (bring 4m to the other side by subtracting)
2m-16-4m = 24 (bring -16 to the right by adding)
-2m=24+16
-2m=40 (divide both sides by -2 to get your value for m)
m=40/-2 = -20
So, our answer is m = -20
