Equations with absolute value:

Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).
How to solve:


Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}
2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6
3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}
4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}
5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5
<h3>
Answer: B) 1 & 3</h3>
Explanation:
Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.
Hi!
If she worked 18 hours last week and 20 hours this week, then she worked 38 hours in total, because 18 + 20 = 38.
If she earns $6 per hour, and she worked for 38 hours, then she got 38 sets of 6, which you can find the answer to by multiplying 38 and 6.
This is essentially 6 + 6 + 6 +...
38 * 6 = $228
So she earned $228 these two weeks.
Hope this helped!
Answer:
Step-by-step explanation:
Divide 4 by 3 and you will get 1333333333... as an answer.It is a repeating decimal . Place a line over the second 3 to show that it is a repeating decimal.