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)
Remember PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction - this is the order of operations. First, you must distribute 5(x+2), that would be 5x+10. Then rewrite: -3x+5x+10. Finally, simplify.
Simplified: 2x+10
This is your answer
Not sure how the other person got 2x+2...
Hope that helps!
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
4 * side^2 = diagonal1 ^2 + diagonal2 ^2
4 * side^2 = 24^2 + 10^2
4 * side^2 = 576 + 100
4 * side^2 = 676
side^2 = 169
side = 13
So, the perimeter of this rhombus = 4 * 13 = 52 cm
Answer:
These are all points on a graph. I'm not sure what you're asking.
