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12345 [234]
2 years ago
11

What is the ratio of the Patio?

Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

B

Step-by-step explanation:

the are of the square would be: 4*6=24

the are of one triangle would be: (6*2)/2=6 (12 in total because there are two triangles

to find the whole area, you add 24 and 12 which is B) 36 meters squared

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Answer:

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Step-by-step explanation:

The equations are:

y = x^{2} + 2x + 3

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The two graphs intersect when:

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x^{2} = 0

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To find the area under the curve for the first equation:

A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx

To find the area under the curve for the second equation:

A_{2} = \int\limits^3__-3}{2x + 12} \, dx

To find the total area:

A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx

Simplifying the equation:

A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).  

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Answer:

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