Hello from MrBillDoesMath!
Answer:
The imaginary part = 2i.
Discussion:
Generally, a complex number is written as "a + bi", where a and b are understood to be real number. The term "a" is called the "real part" and the term "b" is the imaginary part.
Regards,
MrB
Answer:
x=7, y=16
Step-by-step explanation:
2x+5=x+12
2x=x+7
x=7
y-4=x+5
y-4=12
y=16
Property of zero as an exponent
Answer: (b) 48 cm
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Explanation:
Divide the perimeter of the square over 4 to get the side length s.
s = P/4
s = 48/4
s = 12
The side length of the square is 12 cm. This leads to an area of...
A = s^2
A = 12^2
A = 144
The area of the square is 144 square cm.
The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.
If the length of the rectangle is 14 cm, then the width must be
W = A/L
W = 140/14
W = 10
This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)
The last step is to compute the perimeter of the rectangle
P = 2(L+W)
P = 2(14+10)
P = 2*24
P = 48
You can use the formula P = 2L+2W, but it's effectively the same thing.
The perimeter of the rectangle is 48 cm.
You would have $11 because you would add 10+1=11
