Answer:
L=(4,-2)
Step-by-step explanation:Left = -2 units and down = -4 units, left is x direction and down is y direction. (x,y).
Answer:
8.06
Step-by-step explanation:
Use the Pythagorean theorem:
The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.
Plug the numbers 4 and 7 into the formula.
Now evaluate them to get 
16+49=65
To get c, take the square root of 65
Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
All you need to do is plug -5 into the second equation and you see it is near (-5, -8). When plugged into the top, you get (-5, -27/4) which comes out to ABOUT -6.75 for the Y value. The closest is actually a tie. The first option is .8 from the first and .45 from the second leading in a total distance of 1.25. The second, which is the fellow answer, is 1.2 from the first and .05 from the second, leading to 1.25 away.
The third, which is next closest is 1.8 from the first and .55 from the second leading to a distance of over 2 from the optimal, so only the first two are answers.
