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slega [8]
3 years ago
14

The same seven pieces shown on the top were used to make two different figures as shown (the prices do not overlap anywhere) whi

ch if the following will definitely be same for these two figures

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
These are called tangrams.

You didn’t show the options but at a guess the two shapes have the same area.
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0.08 / 0.5216

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Explain how you know 7/12 is greater than 1/3 but less than 2/3
Roman55 [17]
7/12
1/3=4/12
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7/12>1/3
<span>7/12<2/3
</span>

convert all of these to a common denominator:
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7/12 = 7/12
1/3 = 4/12
2/3 = 8/12
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place into compound inequality:
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(1/3=4/12) < (7/12=7/12) < (2/3=8/12)


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Find the vertex form of: y=2x^2-5x+13
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The vertex form of a quadratic function is:

 f(x) = a(x - h)² + k

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In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

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Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

Solution: y = 2(x - 1.25)² + 9.875

Or if you prefer fractions

y = 2(x - 5/4)² + 79/8
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