Hey There!
The answer to your problem is
or
both answers are correct!
<u>Step 1: Subtract x²+12 from both sides.</u>
−7x−(x²+12)=x²+12−(x²+12)
−x²−7x−12=0
<u>Step 2: Factor left side of equation.</u>
![(-x-3)(x+4)=0](https://tex.z-dn.net/?f=%28-x-3%29%28x%2B4%29%3D0)
<u>Step 3: Set factors equal to 0.</u>
or ![x+4=0](https://tex.z-dn.net/?f=x%2B4%3D0)
<u>Get your answer:</u>
or ![x=-4](https://tex.z-dn.net/?f=x%3D-4)
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
![(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3A%28%206%2C13%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%287900%2C5%29)
We find the slope of the line:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B5-13%7D%20%7B7900-6%7D%20%3D%20%5Cfrac%20%7B-8%7D%20%7B7894%7D%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3947%7D)
Thus, the equation of the line is of the form:
![y = - \frac {4} {3947} x + b](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3947%7D%20x%20%2B%20b)
We substitute one of the points and find b:
![13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}](https://tex.z-dn.net/?f=13%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3947%7D%20%286%29%20%2B%20b%5C%5C13%20%3D%20-%20%5Cfrac%20%7B24%7D%20%7B3947%7D%20%2B%20b%5C%5C13%2B%20%5Cfrac%20%7B24%7D%20%7B3947%7D%20%3D%20b%5C%5Cb%20%3D%20%5Cfrac%20%7B51335%7D%20%7B3947%7D)
Finally, the equation is:
![y = - \frac {4} {3947} x + \frac {51335} {3947}](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3947%7D%20x%20%2B%20%5Cfrac%20%7B51335%7D%20%7B3947%7D)
Answer:
![y = - \frac {4} {3947} x + \frac {51335} {3947}](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3947%7D%20x%20%2B%20%5Cfrac%20%7B51335%7D%20%7B3947%7D)
It means that if you fold it in half the two halves will be the exact same
Answer: 36000
Step-by-step explanation:
try looking it up lol
Answer:
y = (1/5)x - 8
Step-by-step explanation:
It's slope-intercept form y=mx+b and we just substitute m=1/5, b= -8.