Answer:
y= (3x^2-3x+27)^1/3
Step-by-step explanation:
Determine whether the point is on the graph of the equation 2x+3y=8. (1,2)
1 answer:
The point is on the graph of the equation.
Explanation:
The equation is
We need to determine the point is on the graph.
To determine the point is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point in the equation
, we get,
Multiplying the terms within the bracket, we have,
Adding the LHS, we have,
Thus, both sides of the equation are equal.
Hence, the point is on the graph of the equation
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The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ().
The cube's surface area = =
=
square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = =
=
square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.