Answer:
or
, where 
Step-by-step explanation:
The given trigonometric equation is:

By the zero product principle;
Either
or 
When
, then 
When
, then 
This implies that: 
Therefore the general solution is
or
, where 
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = 
x h
Input the parameters and solve for b₂;
21 = 
x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
Answer:
See Explanation
Step-by-step explanation:
Given


Required
Determine the true statement about b
The question is incomplete as options are not given. However, a general explanation is as follows:
Rewrite 

When a = 0

When a = 1

This means that:
For 
Then 
<em>This means that: b is a number between 0 and 8</em>
Answer:
x = 3, y = -2
Step-by-step explanation:
Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.
4x - 3(4 -2x) = 18
4x - 12 + 6x = 18
10x - 12 = 18
10x = 30
x = 3
From this, we have y = 4 - 2(3) = 4 - 6 = -2
5 to the 2nd power is 25, and 3 to the 2nd power is -9, so 16 is your answer.