The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
<h3>What is factored form?</h3>
The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
2. Taking x² as the common term
3. Taking y as the common term,
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
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Answer:
113.1 (113.0973355...)
Step-by-step explanation:
1. Use the sphere volume formula of π.
2. Divide 6 by 2 in order to get a radius of 3.
3. Substitute 3 in for r.
4. Cube the 3, you'll get 27.
5. Multiply 27 by Pi and 4/3.
6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.
The steps to carry out scaling of a landscape drawing are; as detailed below
<h3>How to do landscape drawings?</h3>
The steps to carry out if we want to scale landscape drawings are;
- 1) Measure the half acre area that you want to draw.
- 2) Write down your notations. Convert the measurements to inches so you can draw your rendition on a piece of standard paper.
- 3) Scale the items by use of ratios. Set up your fraction as the length of the paper divided by the measured length.
- 4) Divide the fraction answer by the measured length and reduce the fraction by dividing the top and bottom by the fraction answer.
- 5) Scale everything you are going to draw accordingly.
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Answer:
1)option b
2)option a
Step-by-step explanation:
1) circumference = 62.8 in
=> 2πr= 62.8
=> r= 62.8/(2×3.14)= 10 in
diameter = 2×10 in = 20 in
2)diameter = 14m
radius = 7 m
Area of the circle= πr² =3.14(7)²=3.14×49
= 153.86
=153.9 m²