The distance would be, ((x1-x2)^2+(y1-y2)^2)^0.5
x1=-7,y1=9, x2=-4,y2=2
hence distance = sqrt(9+49) = sqrt (58) = 7.615773106
We have that

Let y be the first root, then y - 6 will be the second one. Since both roots make the quadratic equation equal to 0, we have that:

Solve for y:

Plug in y = 5/2 into original quadratic equation and solve for c:

So, the answer is
c = -35/4
I’m going to try to answer these to the best of my ability.
1. Plane D
2. Plane C
3. AB
4. No
5. I don’t believe so because it doesn’t look like C is on the same plane as a AB and D.
6. I think so, yes! Collinear means that they are on the same line, and it looks like if you put a line between those two to connect them, they would connect perfectly!
7. B possibly? Because it looks like B, C, and D are all collinear and that they would pass through a straight line. A doesn’t look like it’s collinear with the rest of them.
8. No
9. Yes
10. Yes
I’m sorry if any of those are wrong, but I did make sure to try and put some explanations for some of them so you saw why I gave the answer that I gave! I hope that helped and like I said, I’m sorry if any of them are wrong, I tried my best!
Answer:
-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667
Hope This Helps!!!