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4 years ago

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

Mathematics

2 answers:

7nadin3 [17]4 years ago

7 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Let the original dimension of pentagon be x

So, we have ratio as follow:

$\frac{3}{12}=\frac{x}{8}\\\\3\times 8=12\times x\\\\24=12\times x\\\\x=\frac{24}{12}=2$

so, Paolo was asked to find the original of an enlarge pentagon.

And she did,

$8x=36\\\\x=4.5$

so, she made an error when he cross multiplied the proportion.

That's why she got wrong answer.

Hence, Second option is correct.

NISA [10]4 years ago

6 0

The correct answer is the second choice.

Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.

The second line should be:

12x = 24

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Step-by-step explanation:

Use the vertex formula: y = a(x - h)² + k

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****************************************************************************

Answer: g(x) = -(x + 1.25)² + 2.5625

Step-by-step explanation:

Use the vertex formula: y = a(x - h)² + k

and input the given points for (x, y) to create a system of equations, then solve for a, h, and k.

EQ1: 2 = a(-2 - h)² + k

2 = a(4 + 4h + h²) + k

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EQ2: 1 = a(0 - h)² + k

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Substitute - set EQ1 = EQ2 and EQ2 = EQ3 to eliminate k

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