58,498,698,714,300
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Answer:
Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed.
Step-by-step explanation:
Answer:x=-14y=174
y=3x+5,y=-x+4
3x+5=-x+4
There are infinite number of solutions!
Move all terms containing
x
x to the left side of the equation.
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4
x
+
5
=
4
4x+5=4
y
=
−
x
+
4
y=-x+4
Move all terms not containing
x
x to the right side of the equation.
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4
x
=
−
1
4x=-1
y
=
−
x
+
4
y=-x+4
Divide each term by
4
4 and simplify.
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x
=
−
1
4
x=-14
y
=
−
x
+
4
y=-x+4
Replace all occurrences of
x
x with the solution found by solving the last equation for
x
x. In this case, the value substituted is
−
1
4
-14.
x
=
−
1
4
x=-14
y
=
−
(
−
1
4
)
+
4
y=-(-14)+4
Simplify the right side.
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x
=
−
1
4
x=-14
y
=
17
4
y=174
The solution can be shown in both point and equation forms.
Point Form:
(
−
1
4
,
17
4
)
(-14,174)
Equation Form:
x
=
−
1
4
y
=
17
4
x=-14y=174
Answer:
(95/31, -118/31)
Step-by-step explanation:
-7x-8y=9
4x+9y=-22
----------------
4(-7x-8y)=4(9)
7(4x+9y)=7(-22)
-----------------------
-28x-32y=36
28x+63y=-154
-----------------------
31y=-118
y=-118/31
-7x-8(-118/31)=9
-7x+944/31=9
-7x=9-944/31
-7x=279/31-944/31
-7x=-665/31
7x=665/31
x=(665/31)/7
x=(665/31)(1/7)
x=665/217=95/31
x=95/31, y=-118/31
Answer:
Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:
We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:
Let us solve for x.
Therefore, the value of x is 7.2 inches.
