Answer:
-10x + 1.5
Step-by-step explanation:
![\huge\boxed{y=-2x+3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By%3D-2x%2B3%7D)
Start off by finding the slope of the line with the formula
.
Substitute the values. ![\frac{1-3}{1-0}](https://tex.z-dn.net/?f=%5Cfrac%7B1-3%7D%7B1-0%7D)
Subtract. ![\frac{-2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B1%7D)
Simplify. ![-2](https://tex.z-dn.net/?f=-2)
is the slope of the line.
Now, use the point-slope formula to create an equation, where
is the slope and
is a known point on the line. ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substitute the values. ![y-3=-2(x-0)](https://tex.z-dn.net/?f=y-3%3D-2%28x-0%29)
Simplify. ![y-3=-2x](https://tex.z-dn.net/?f=y-3%3D-2x)
Move the
to create the final equation in slope-intercept form. ![\large\boxed{y=-2x+3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-2x%2B3%7D)
Jane owed her friend Dan 5 dollars. She also owed her sister Jessie 15 dollars. How much debt is Jane in? (ANSWER: -5 + -15= -20$ in debt)
The answer is 106 meters. You need to do 3,392 meters divided by 32 meters.
(Length * Width = Area)
(Length = Area / Width)
Answer:
Step-by-step explanation:
![sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}](https://tex.z-dn.net/?f=sin%282%5Ctheta%29%3D2sin%5Ctheta~cos%5Ctheta%5C%5C%5C%5Ccos%282%5Ctheta%29%3Dcos%5E2%5Ctheta-sin%5E2%5Ctheta%5C%5C%5C%5Ccos%5Ctheta%3D%5Cfrac%7B24%7D%7B25%7D%5C%5C%5C%5Csin%5E2%5Ctheta%2Bcos%5E2%5Ctheta%3D1~%3D%3Esin%5Ctheta%3D%5Cpm%5Csqrt%7B1-cos%5E2%5Ctheta%7D%5C%5C%5C%5Cwe%20~will~%20use~%20the%20~minus~%20sign~because~sin%5Ctheta~is~negative~in~IV~cuadrant%5C%5Csin%5Ctheta%3D-%5Csqrt%7B1-%7B%28%5Cfrac%7B24%7D%7B25%7D%29%7D%5E2%7D%3D-%5Cfrac%7B7%7D%7B25%7D)
Now we cal calculate the quantities requested
![sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\](https://tex.z-dn.net/?f=sin%282%5Ctheta%29%3D2sin%5Ctheta%20cos%5Ctheta%3D2%28-%5Cfrac%7B7%7D%7B25%7D%29%5Cfrac%7B24%7D%7B25%7D%3D-%5Cfrac%7B336%7D%7B625%7D%5C%5C%5C%5C)
![cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}](https://tex.z-dn.net/?f=cos%282%5Ctheta%29%3Dcos%5E2%5Ctheta-sin%5E2%5Ctheta%3D%28%5Cfrac%7B24%7D%7B25%7D%29%5E2-%28-%5Cfrac%7B7%7D%7B25%7D%29%5E2%3D%5Cfrac%7B527%7D%7B625%7D)
![tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}](https://tex.z-dn.net/?f=tan%282%5Ctheta%29%3D%5Cfrac%7Bsin%282%5Ctheta%29%7D%7Bcos%282%5Ctheta%29%7D%3D%5Cfrac%7B-%5Cfrac%7B336%7D%7B625%7D%7D%7B%5Cfrac%7B527%7D%7B625%7D%7D%3D-%5Cfrac%7B336%7D%7B527%7D)