Answer:
because in each case, the selected column composes one-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.
Step-by-step explanation:
The greatest common factor is 7.
(2 + x) x (2x-5) = 56
(2+x)(2x-5)=56
2x² - x - 10 = 56
+10 +10
2x² - x = 66
2x² - x - 66 = 0
x = 6
2(6)² - (6) = 66
2(36) - 6 = 66
72 - 6 = 66
66 = 66
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:
2.58 seconds
Step-by-step explanation:
When you complete the square, you get ...
h = -16(t -9/16)^2 +60 +81/16
Then the solution for h=0 is ...
t = (x -9/16)^2 = 1041/256
t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58
It takes about 2.58 seconds for the ball to hit the ground.
