Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
10 (x + 3) is the answer i believe
Midpoint formula
(x2-x1 / 2) , (y2-y1/ 2)
x = 4-(-2) / 2 = 3
y= -6-2 / 2= -4
midpoint (3, -4)
Answer:
D(4,-3)
Step-by-step explanation:
Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)
Let the coordinate of the fourth vertex be D(x,y).
We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.
The diagonals are BD and AC
Midpoint of BD = Midpoint of AC

The coordinates of the fourth vertex is D(4,-3)
<h3>
<u>Explanation</u></h3>
- Given the system of equations.

- Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.
To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

There as we can get rid of the y-term by adding both equations.

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
- Answer Check by substituting both x and y values in both equations.
<u>First</u><u> </u><u>Equation</u>

<u>Second</u><u> </u><u>Equation</u>

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
<h3>
<u>Answer</u></h3>
