B, the bottom of the figure contains points E, F, and H
<span>Since: v =sqrt(3)/2 s^2h
6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
and v = sqrt(3)/2 (10/25 h)^2 h
239.299 = 0.139 h^3
h = (239.299/0.139)^(1/3) = 11.985 ft</span>
9514 1404 393
Answer:
(a) x - y + 1 = 0
Step-by-step explanation:
One way to address multiple-choice questions is to try the answers to see what works.
For the lower left point (1, 2), the answer choices shown give ...
x -y +1 = 1 -2 +1 = 0 . . . . . equation works
-x -y +1 = -1 -2 +1 = -2 . . . doesn't work
y -x +1 = 2 -1 +1 = 2 . . . . . doesn't work
The appropriate choice is ...
x - y + 1 = 0
Answer: Laura cannot find the number, as explained below.
Explanation:
1) The question is aimed to determine the number that Laura is trying to come up with.
Such question is solved by stating an algebraic equation from the word statement, which is done step by step.
2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3
3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)
4) Finally, since they are equal, you can set the equation:
8x - 3 = (1/2) (16x + 1)
5) And solve for x in this way:
i) Distributive property:
8x - 3 = 8x + 1/2
ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:
-3 = 1/2 which is alwasy false, meaning that the equation has no solution.
