Solve each system by substitution.
1 answer:
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Given:
Volume of Large cube = 1 cubic unit
Volume of small cube = cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are and
respectively.
We know that, volume of a cube is
Volume of Large cube = 1 cubic unit
Taking cube root on both sides, we get
So, edge of large cube is 1 unit.
Volume of small cube = cubic unit
Taking cube root on both sides, we get
So, edge of large cube is unit.
Now, difference between them is
Therefore, the difference between the edge length of the large cube and the edge length of the small cube is unit.
An equation of the circle that will pass through the four (4) vertices of the square is (x + 2)² + y² = 2².
<h3>How to find the equation of this circle?</h3>Mathematically, the general form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r is the radius of a circle.
<u>Note:</u> The center of a circle lies on the midpoint of the diagonal of a square, which is formed by joining its endpoints (opposite).
Midpoint on x-coordinate is given by:
Midpoint = (-2 - 2)/2
Midpoint = -4/2 = -2.
Midpoint on y-coordinate is given by:
Midpoint = (-2 + 2)/2
Midpoint = 0/2 = 0.
Thus, the center (h, k) = (-2, 0).
For the radius, we have:
r = √(-2)² + 0²
r = √4 = 2.
Substituting the parameters into the general equation, we have;
(x - (-2))² + (y - 0)² = 2²
(x + 2)² + y² = 2²
Read more on circle here: brainly.com/question/1615837
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