Answers:
L = 4
M = -3
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Explanation:
On the left side, the number 20-12i is in the form a+bi where a = 20 and b = -12
On the right side, 5L+(4M)i is in the form a+bi where a = 5L and b = 4M
Equating the real parts a = 20 and a = 5L has us get
5L = 20
5L/5 = 20/5
L = 4
Do the same with the imaginary parts as well
b = -12
b = 4M
4M = -12
4M/4 = -12/4
M = -3
Answer:
36=3*2*1*6
36=6*6
Step-by-step explanation:
_/36=6
Hope this helped :)
Answer:
A, D, C, F, B, G
Step-by-step explanation:
Answer:
The sister is making her wall 3.14 inches longer than Poppy's wall.
Step-by-step explanation:
Poppy and the sister are both making circles basically.
Let the diameter of Poppy's circle be d
Let the diameter of the sister's circle be D
It is given that the diameter of the sister's circle is 1 inches longer than that of Poppy.
D = d + 1
circumference of Poppy's circle = (πd) in.
Circumference of the sister's circle = πD = π(d+1) = (πd + π) in.
So, how much more wire did her sister use than Poppy = (πd + π) - πd = (π) in. = 3.14 in.
Hope this Helps!!!
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures