Answer:
the circumference is 31.4
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Step-by-step explanation:
Hi there! The answer is 0 solutions.
![3(x + 4) = 3x + 4](https://tex.z-dn.net/?f=3%28x%20%2B%204%29%20%3D%203x%20%2B%204)
First we need to work out the parenthesis (for instance possible by using rainbow technique).
![3x + 12 = 3x + 4](https://tex.z-dn.net/?f=3x%20%2B%2012%20%3D%203x%20%2B%204)
Now subtract 12.
![3x = 3x - 8](https://tex.z-dn.net/?f=3x%20%3D%203x%20%20-%208)
Now we can see that the right side of the equation is always 8 smaller than the left side of the equation. Because the right is always smaller, this equation cannot be solved. Therefore there are no solutions to this equation. The answer is 0 solutions.
Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph
is below
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
Step-by-step explanation:
Slope of the equation
is ![m_1 = \frac{2}{5}](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as
![m_2 = - \frac {1}{m_1} = - \frac {5}{2}](https://tex.z-dn.net/?f=m_2%20%3D%20-%20%5Cfrac%20%7B1%7D%7Bm_1%7D%20%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D)
Equation of line in point slope form is given as
![y-y_1=m_2(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm_2%28x-x_1%29)
Here (x1, y1) = (4, -8)
![y+8 = - \frac{5}{2} (x-4)](https://tex.z-dn.net/?f=y%2B8%20%3D%20-%20%5Cfrac%7B5%7D%7B2%7D%20%28x-4%29)
Simplifying it further
![y = - \frac {5}{2} x + \frac {5}{2} 4 - 8](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%20%5Cfrac%20%7B5%7D%7B2%7D%204%20-%208)
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
3.86
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