Answer:
Using the distance formula, when I plugged in the information, the answer I got was the square root of 85. (B)
explanation:
C(x₁ , y₁) and T(x₂ , y₂) OR C(0,4) and T(-6,-3)
CT=√[(x₂ - x₁)² + (y₂ - y₁)²] =√[(-6-0)² + (-3 - 4)²]
CT=√[(36) + (49)} = CT = √85
The expression that represents the height of the oblique prism is: 1/2x.
What is the Volume of a Prism?
- The volume of a prism is defined as the total space occupied by the three-dimensional object.
- Mathematically, it is defined as the product of the area of the base and the length.
Prism Volume = base area × height of the prism
Given that the oblique prism has:
Volume = 1/2x³ cubic units
edge length = x units
Therefore,
base area = x²
Thus:
1/2x³ = (x²)(height)
Divide both sides by x²
1/2x³ ÷ x² = height
1/2x³ × 1/x² = height
x³/2 × 1/x² = height
height = x³/2x²
height = x/2
Therefore, the expression that represents the height of the oblique prism is: 1/2x.
Learn more about oblique prism
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<u>The complete question is -</u>
An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?
12*3= 36
12 and 3 could be factors of 36.
I hope this helped you! <3
