The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
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The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
<h3>What is the volume of a cone and cylinder?</h3>
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
where;
- radius = 2.5 inches
- height = 9 inches
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is <u>three times </u> the volume of the cone because:
= 3
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C = d × pi
C = 6 × 3.14
C = 18.84
When we want to draw a point on the graph we need to have a value of x and y i.e (x,y)
Step-by-step explanation:
We need to place the numbers (3,5) and (6,9) on graph.
When we want to draw a point on the graph we need to have a value of x and y i.e (x,y)
So, for given point (3,5) the value of x = 3 and y=5
For placing it on graph choose 3 on x-axis and 5 on y-axis, the place where both points meet is the point (3,5)
Similarly for point (6,9) the value of x = 6 and y=9
For placing it on graph choose 6 on x-axis and 9 on y-axis, the place where both points meet is the point (6,9)
The points place on graph are shown in figure attached.
Keywords: graph the points
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