Answer:
B
Step-by-step explanation:
A:
Completing the square: (x+ 7/2)^2 = -2 + 49/4 = 41/4, in the next step you'll be square rooting a positive number so it'll have real roots.
B:
Completing the square: (x+3/2)^2 = -9 + 9/4 = -27/4, you'll next be square rooting a negative number, so it'll have complex roots
C:
Completing the square: (x-5/2)^2 = -1 + 25/4 = 21/4, next you'll square root a positive number, so real roots
D:
Completing the square: (x+7/2)^2 = 2 + 49/4 = 57/4, square root a positive number, so real roots.
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?
A square has all 4 sides equal, so divide the amount of fence available by 4 to get the length of one side of the square
600/4 = 150
Now since the creek is being used for one side, add one side of the square to the other side to get a rectagle 150 by 300 feet.
Area = 150 x 300 = 45,000 square feet.
Answer: -1.375 < -1
Step-by-step explanation:
Answer:
D) (5,0)
Step-by-step explanation:
-5x + 4 ≤ y
-25 + 5 ≤ 0
-20 ≤ 0
y ≤ 2x + 2
0 ≤ 2(5) + 2
0 ≤ 27
