Answer:
A.
= 8i
B. 8i + 5i = 13i
C. 8i - 5i = 3i
D. 8i x 5i = -40
Step-by-step explanation:
A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.
-1 = 
=
= i
Example: 1. What is the square root of -64?
square root of -64 = 
= 
=
x 
= i x 8
= 8i
= 8i
2. find the square root of -25.
= 
= 5i
B. To add two complex numbers, they are considered as algebraic expressions.
Example, the sum of 8i and 5i can be determined as;
8i + 5i = 13i
C. To add two complex numbers, they are considered as algebraic expressions.
Example, the subtraction of 8i and 5i can be determined as;
8i - 5i = 3i
D. To multiply two complex numbers, the complex part is considered.
Example, determine the product of 8i and 5i.
8i x 5i = 8 x 5 x i x i
= 40
= -40 (∵
= -1)
8i x 5i = -40
27 pies in one hour
54=2 hours
54 divided by 2 equals 27
--Answer--
1. $85
2. $15
--Explanation--
1. 15% off of 100 just means moving the decimal in 15 over by 2 to the left.
From there, multiply 100 x 0.15.
Then you get 15, so that's how much tax you are paying. Meaning Subtract 15 from 100 to get the price it originally was before tax. 100 - 15 = 85.
2. $15 dollars tax from moving decimal 2 to the left of 15%.
The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements. Therefore, there is no specific equation!
I followed the numbers across, thinking to myself "this won't be
too hard to multiply, because they're all small numbers". And then
when I got to the zero, I burst out laughing ! It doesn't matter at all
what all the other numbers are. Once there's a zero in there, the whole
product will be <em>zero</em>, no matter what else gets multiplied along the way.
There could be millions and billions in there. You wouldn't need to do
any calculating at all. With zero as a factor, you know right away that
the product is zero.