Step-by-step explanation:
<u>Step 1: Add 2cos(x) to both sides</u>


<u>Step 2: Subtract 9 from both sides</u>


<u>Step 3: Divide both sides by 9</u>


<u>Step 4: Find x</u>


Answer: 
Angle 146 = angle2 .......[Corresponding angle]
Therefore, Angle 2 = 146
Now,
Angle 5 = angle2……………[vertically opposite angle]
Therefore, angle 5 = 146
Answer:
Step-by-step explanation:
Slope of x-2y=6 is ½.
Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2
The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.
Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:

This means that we have some value <em>y</em> such that:

If <em>x</em> is -8, then:

As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.
Yes use that example and it will help!