the answer would be 
because you would need to find the LCD, which in this case would be 56 and you solve from there.
Line passing through point (-2, -3) with a slope of -6 is (y - (-3)) = -6(x - (-2)) => y + 3 = -6(x + 2)
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
Answer:
She bought 24 Tangram puzzles
Step-by-step explanation:
Let the number of Tangram puzzles be t and the number of IQ puzzles be i
The sum of all the puzzles is 40;
i + t = 40 ••••••(i)
Cost of all Tangram puzzles at a cost of $4 per one will be;
4 * t = $4t
cost of all Iq puzzles at a cost of $2 per one is
2 * i = $2i
Sum
paid for all is $128
so;
4t + 2i = 128 •••••••(ii)
From equation i;
i = 40-t
Substitute into ii
4t + 2(40-t) = 128
4t + 80 - 2t = 128
2t = 128-80
2t = 48
t = 48/2
t = 24
