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
Answer:
4
Step-by-step explanation:
Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism

so
In this problem we have

substitute



so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism



The surface area of the prism is equal to

substitute the values

If he doubles each dimension of any rectangular prism
then
the new dimensions will be



The new surface area will be


therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
Area of a circle = πr²
Area of a circle = 3.14 x 11² = 379.94 in²
Area painted in blue = 379.94 ÷ 2 = 189.97 in²
Area painted in purple = 189.97 in²
--------------------------
Answer: 189.97 in²
--------------------------
Answer: 8=201.06
4=50.27
Step-by-step explanation: What I mean by this is that if the radius (the distance from the center of the circle to the edge of the circle ) is 8 then the area of the circle is 201.06 and if the radius of the circle is 4 then the area of the circle is 50.27