Answer:
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Step-by-step explanation:
Notice that function
has the exat shape of function
, and it has just be translated to the right by 3 whole units.
Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:
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Set up a system of equations:
2x+3y=6
x-3y=9
You can solve this with elimination by adding the two equations together:
3x+0y = 15
3x=15
x=5
Then, plug this value back into either of the original equations to find the y value:
5-3y=9
-3y=4
y= -4/3
The point of intersection is (5,-4/3)
Answer:
3.5 inch^3
Step-by-step explanation:
Volume of cube: V = s^2,
where V = volume, and s = length of side or edge.
The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.
volume of prism = 28 * volume of cube
volume of prism = 28 * (1/2 inch)^3
volume of prism = 28 * 1/8 inch^3
volume of prism = 3.5 inch^3