How many triangles you construct with a three 60º angles and one side measuring 4 in.?

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

B. 1
By fixing all of the angles and one side, we leave the possibility of producing only one triangle.

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

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Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)² --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x) --------(ii)

Step No. 2

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Step No. 3

Now, we shall simplify the terms within the parentheses in (iii)

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Step No. 4

Now, we shall open the parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

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Hence, the simplified expression will be – 28x² + 8x -8

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The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.

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Answer:

Step-by-step explanation:

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