Step-by-step explanation:
(a+bi)2
=a2 +2abi +b2i2
=a2 +2abi + b2. (-1)
=a2 -b2 +2abi
Answer = (a+b(a-b) +2abi
Add, -11.5x and move it over to 8.5x
Then, subtract them together and you get 20x + 51.86 = 51.76
And you move (subtract) 51. 86 over to 51.76, subtract that and you get 20x = -0.1
Divide, and your answer is -200
Sine is the opposite to the hypotenuse
so if sinA=0.6, suppose the opposite is 6, the hypotenuse is 10
now find the other leg by using a²+b²=c²: 6²+b²=10², b=8
sinB=8/10=0.8
Answer:
x <5
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x +21
Subtract 5x from each side
8x -5x +6 < 5x-5x+21
3x +6 < 21
Subtract 6 from each side
3x+6-6 <21-6
3x <15
Divide each side by 3
3x/3 <15/3
x <5
Answer:
(2h-3k)(m-n)
Step-by-step explanation:
factor by grouping, you can group the first two terms and the last two terms:
2h(m-n) + (-3k)(m-n)
there will be one factor in common, use that factor in combination with the factors that are not duplicated:
(2h-3k)(m-n)