Answer:
x = +3 and -3
Step-by-step explanation:
Start by solving for |x| as normal:
4 - |x| = 1
- |x| = -3 (subtract 4 from both sides)
|x| = 3 (multiply both sides by -1)
the absolute value of x means it will be positive, so you need to recognize that whatever is in the absolute value bars will be made positive.
this means that x = 3 AND -3, because both |3| and |-3| = 3
check your answer by plugging x = 3 and x = -3 back in:
4 - |3| = 1
4 - 3 = 1
1 = 1
and
4 - |-3| = 1
4 - 3 = 1
1 = 1
Arrange your given equation to resembles the form
a^2 +2ab+ b^2 because this equals (a+b)^2
So we get:
y^2+16y+8^2=0
Now compare
y^2+16y+8^2 to a^2 +2ab+ b^2
So we got
y^2+2•8 y+8^2=0 which equals (y+8)^2
Answer:
27
Step-by-step explanation:
The 4 part of the ratio refers to 36 blue jackets.
Divide 36 by 4 to find the value of one part of the ratio
36 ÷ 4 = 9 ← value of 1 part of the ratio, then
3 parts = 3 × 9 = 27 ← number of red jackets
Step-by-step explanation:
2×10,000 + 8×1000 + 5×100+6×10+1