Here is the equation:
![6(x-8)=72](https://tex.z-dn.net/?f=6%28x-8%29%3D72)
In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.
FIRST METHOD
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![6(x-8)=72](https://tex.z-dn.net/?f=6%28x-8%29%3D72)
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You need to remove the parentheses by multiplying everything in the parentheses by 6.
![6(x-8) = (6\times x) + (6 \times -8)](https://tex.z-dn.net/?f=6%28x-8%29%20%3D%20%286%5Ctimes%20x%29%20%2B%20%286%20%5Ctimes%20-8%29)
Multiply:
![6 \times x = 6x\\6 \times -8 = -48](https://tex.z-dn.net/?f=6%20%5Ctimes%20x%20%3D%206x%5C%5C6%20%5Ctimes%20-8%20%3D%20-48)
Remember:
NEGATIVES
- Negative(-) times(×) negative(-) = positive(+)
- Negative(-) times(×) positive(+) = negative(-)
- Negative(-) divided(÷) by positive(+) = negative(-)
- Negative(-) divided(÷) by negative(-) = positive(+)
POSITIVES
- Positive(+) times(×) positive(+) = positive(+)
- Positive(-) times(×) negative(-) = negative(-)
- Positive(+) divided(÷) by positive(+) = positive(+)
- Positive(+) divided(÷) by negative(-) = negative(-)
Now combine the two values and rewrite the equation:
![6x+-48 \rightarrow 6x-48=72](https://tex.z-dn.net/?f=6x%2B-48%20%5Crightarrow%206x-48%3D72)
Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).
![6x-48+48=72+48\\6x=120](https://tex.z-dn.net/?f=6x-48%2B48%3D72%2B48%5C%5C6x%3D120)
Lastly, divide both sides by 6 to leave x alone.
![\frac{6x}{6} = \frac{120}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%20%3D%20%5Cfrac%7B120%7D%7B6%7D)
![x=20](https://tex.z-dn.net/?f=x%3D20)
SECOND METHOD
While the first step is somewhat complicated, there is a much easier way.
![6(x-8)=72](https://tex.z-dn.net/?f=6%28x-8%29%3D72)
Start by dividing both sides by 6 to remove the number next to the parentheses.
![\frac{6(x-8)}{6} =\frac{72}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6%28x-8%29%7D%7B6%7D%20%3D%5Cfrac%7B72%7D%7B6%7D)
![x-8=12](https://tex.z-dn.net/?f=x-8%3D12)
(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).
Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).
![x-8+8=12+8\\](https://tex.z-dn.net/?f=x-8%2B8%3D12%2B8%5C%5C)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Either method can be used, but the second one is definitely shorter!
The answer is x = 20.
It's a table, not a graph. Either way everyone should statistically get either 7 heads and 8 tails or 8 heads and 7 tails if they flip it 15 times.
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
thanks
Step-by-step explanation: