Answer:
the correct one is d
Step-by-step explanation:
so out 9
Answer:
![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Step-by-step explanation:
Given:
The two points on the line are:
![(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-6%2C-3%29%5C%5C%28x_2%2Cy_2%29%3D%286%2C-7%29)
Now, for a line with two points on it, the slope of the line is given as:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
For the points
, slope is:
![m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-7-%28-3%29%7D%7B6-%28-6%29%7D%5C%5Cm%3D%5Cfrac%7B-7%2B3%7D%7B6%2B6%7D%5C%5Cm%3D%5Cfrac%7B-4%7D%7B12%7D%3D-%5Cfrac%7B1%7D%7B3%7D)
Now, for a line with slope 'm' and a point
on it is given as:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Plug in all the values and determine the equation of the line. This gives,
![y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y-%28-3%29%3D-%5Cfrac%7B1%7D%7B3%7D%28x-%28-6%29%29%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B6%29%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B3%7D%5Ctimes%206%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7Dx-2%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx-2-3%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Therefore, the equation of the line is:
![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
4*2=8, 4=number of sections on the spinner, 2=number of sides on a coin
Answer is 1/8 probability
Hope this helps you
Answer:
This is a binomial.
Step-by-step explanation:
Bi means two. Therefore, since this polynomial only has two integers it is a binomial.