Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)
Answer:
v=12
Step-by-step explanation:
3v-8v+7v=24
3v-v=24
2v=24
v=12
Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
45%=0.45
8,250x0.45
=3712.50
The theater collected $3712.50 at the concession stand.
