Answer:
A) -4x + 9y = 9
B) x -3y = -6
We multiply B) by 3
B) 3x -9y = -18 Then add it to A)
A) -4x + 9y = 9
-x = -9
x = 9
9 -3y = -6
3y = 15
y = 5
Step-by-step explanation:
Let the base of the ladder be x ft and the extension be y ft.
"when fully extended, a ladder is 28 feet in length."
means: x+y=28
"<span>the extension is 4 feet shorter than the base</span>"
means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)
thus, we have the system of equations:
1) x+y= 28
2) x-y=4
adding the 2 equations, we have:
(x+y)+(x-y)=28+4
2x=32
x=32/2=16
x+y=28, so 16+y=28, thus y=12
Answer: Base: 16, Extension 12
14. 75 105
105 75
16. 155 25
155
17. 127
18. 55 125 125
19. 115 140 40
<span>6x^2 + 4x = 2x(3x + 2)
4x^2 + 11x + 6 = (4x + 3)(x + 2)
9x^2 - 4 = (3x +2)(3x - 2)</span>
Answer:

Step-by-step explanation:
The information that we kow about the shape of the aquarium:
length:

width:

when the reef is submerged, the water level rises 3 feet. The volume that those 3 ft represent in the aquarium will be the volume of the reef.
Thus, we calculate the volume of water "addition" with the same length and width as the aquarium but with a deep of 3 feet (thi is because the reef caused the water to rise 3 feet), and this is the volume of the reef that was added to the aquarium:

The volume of the stone is 