Answer:
<em>(1,0) and (3,0)</em>
Step-by-step explanation:
The roots are always shown where the parabola crosses the x-axis.
In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:
<em>x = 1 and x = 3</em>
![\nabla f(x,y)=\left\langle\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}\right\rangle=\left\langle\dfrac{2x}{x^2+y^2},\dfrac{2y}{x^2+y^2}\right\rangle](https://tex.z-dn.net/?f=%5Cnabla%20f%28x%2Cy%29%3D%5Cleft%5Clangle%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20x%7D%2C%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20y%7D%5Cright%5Crangle%3D%5Cleft%5Clangle%5Cdfrac%7B2x%7D%7Bx%5E2%2By%5E2%7D%2C%5Cdfrac%7B2y%7D%7Bx%5E2%2By%5E2%7D%5Cright%5Crangle)
You didn't provide the "given point", but I assume you're capable of plugging it in.
Here are the outcomes. You could also a tree diagram for this:
There are 49 outcomes for this problem. Therefore, 7/49 possible probability that 2 could be orange. To check if i'm correct, use a tree diagram or a compound principle.
Seven because 1+2 is 3 and 3+1 is 4 so in total is seven
We have to use the distance formula between the two points provided