16) First solve like a normal equation.
3|x/9| - 1 = 2
3|x/9| = 3
|x/9| = 1
Now just separate into two equations:
x/9 = 1
x/9 = -1
So x = 9, -9
17) Solve like normal:
-4 - 2|b - 10| = -6
-2 |b - 10| = -2
|b - 10| = 1
Now just separate into two equations:
b - 10 = 1
b - 10 = -1
So then b = 11, 9
Answer:
The radius vector is (-8, 7) and (-1 , 5).
Step-by-step explanation:
Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).
The end points are (- 8, 7) and (6, 3) .
The mid point is given by

So, the radius vector is (-8, 7) and (-1 , 5).
Answer:
x = 10
Step-by-step explanation:
<u>Complementary angles mean 90 degree angle.</u>
Angle P + Angle Q = 90°
Angle P ---> 29°
Angle Q --> 6x + 1
<u>Find x</u>
Angle P + Angle Q = 90°
29 + 6x + 1 = 90°
30 + 6x = 90
6x = 90-30
6x = 60
x = 60/6
x = 10
Therefore, the value of x = 10.
Angle Q = 6x + 10 --> 6(10) + 1 --> 61°
Answer: Explanation below.
Step-by-step explanation:
First of all you need to know how to convert a logarithm into an exponential expression. The property is:

This is the same as: 
Example 1:

We are trying to find what to raise 9 to, in order to get a result of 9.

When you have same bases, you equal exponents.

Therefore; 
Example 2:


In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as:
which is 2*2*2*2*2
Rewriting this example we have;

Since we have the same base, we equal exponents.

Therefore; 
Example 3:


729 can have a base of 3 if expressed as: 


For this case we have the following equations:
y = 0.55x + 175
y = 0.45x + 200
We equate both equations:
0.55x + 175 = 0.45x + 200
We clear the value of x:
0.55x - 0.45x = 200 - 175
0.10x = 25
x = 250 miles
Answer:
A number of thousands driven that would make the two reimbursement packages equal is:
x = 250 miles