Answer:
The line passes through
.
Graph is attached.
Step-by-step explanation:
Line passing through the point
and slope
:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![Compare\ y-3=\frac{4}{3}(x+2)\ with\ the\ standard\ form\\\\x_1=-2,\ y_1=3\ and\ m=\frac{4}{3}\\\\This\ is\ equation\ of\ line\ passing\ through\ (-2,3)\ and\ having\ slope(m)=\frac{4}{3}\\\\Slope=\tan \theta\\\\\tan\theta=\frac{4}{3}\\\\\theta=\tan^{-1} \frac{4}{3}\\\\\theta=53.13\textdegree\\\\Hence\ line\ passes\ through\ (-2,3)\ and\ makes\ an\ angle\ 53.13\textdegree\ with\ the\ x-axis](https://tex.z-dn.net/?f=Compare%5C%20y-3%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29%5C%20with%5C%20the%5C%20standard%5C%20form%5C%5C%5C%5Cx_1%3D-2%2C%5C%20y_1%3D3%5C%20and%5C%20m%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5CThis%5C%20is%5C%20equation%5C%20of%5C%20line%5C%20passing%5C%20through%5C%20%28-2%2C3%29%5C%20and%5C%20having%5C%20slope%28m%29%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5CSlope%3D%5Ctan%20%5Ctheta%5C%5C%5C%5C%5Ctan%5Ctheta%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%20%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctheta%3D53.13%5Ctextdegree%5C%5C%5C%5CHence%5C%20line%5C%20passes%5C%20through%5C%20%28-2%2C3%29%5C%20and%5C%20makes%5C%20an%5C%20angle%5C%2053.13%5Ctextdegree%5C%20with%5C%20the%5C%20x-axis)
Sketch:
Y-intercept:
![substitute\ x=0\\\\y-3=\frac{4}{3}\times 2\\\\y=\frac{8}{3}+3\\\\y=\frac{17}{3}\\\\line\ passes\ through\ (0,\frac{17}{3}).](https://tex.z-dn.net/?f=substitute%5C%20x%3D0%5C%5C%5C%5Cy-3%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%202%5C%5C%5C%5Cy%3D%5Cfrac%7B8%7D%7B3%7D%2B3%5C%5C%5C%5Cy%3D%5Cfrac%7B17%7D%7B3%7D%5C%5C%5C%5Cline%5C%20passes%5C%20through%5C%20%280%2C%5Cfrac%7B17%7D%7B3%7D%29.)
x-intercept:
![substitute\ y=0\\\\-3=\frac{4}{3}(x+2)\\\\x+2=-\frac{3}{4}\times 3\\\\x=-\frac{9}{4}-2\\\\x=-\frac{17}{4}\\\\Line\ passes\ through\ (-\frac{17}{4},0).](https://tex.z-dn.net/?f=substitute%5C%20y%3D0%5C%5C%5C%5C-3%3D%5Cfrac%7B4%7D%7B3%7D%28x%2B2%29%5C%5C%5C%5Cx%2B2%3D-%5Cfrac%7B3%7D%7B4%7D%5Ctimes%203%5C%5C%5C%5Cx%3D-%5Cfrac%7B9%7D%7B4%7D-2%5C%5C%5C%5Cx%3D-%5Cfrac%7B17%7D%7B4%7D%5C%5C%5C%5CLine%5C%20passes%5C%20through%5C%20%28-%5Cfrac%7B17%7D%7B4%7D%2C0%29.)
Sketch the line passes through
.
The volume of the cone is 201.06193 or 201.1 rounded to the nearest tenth.
Answer:
Step-by-step explanation:
<u>Solving in steps:</u>
- - 8 3/4 ÷ 2 1/6 =
- - 35/4 ÷ 13/6 =
- - 35/4 × 6/13 =
- - 35/2 × 3/13 =
- - 105/26 =
- - 4 1/26
12<span>x2</span>−13x−<span>14 look it up on google to show you the graph
</span>
Let
y=g(x)
we put value of x=-3 in different equation given above the original function should give 1 output(from the graph)
it is only (C) which gives 1.