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Sedbober [7]
3 years ago
11

Someone help me

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=\pi D

where

D is the diameter

In this problem we have

C=2.88\ in

\pi=3

substitute and solve for D

2.88=(3)D

D=2.88/3

D=0.96\ in

we know that

The length of the row of quarters is equal to multiply the diameter of the quarter by the number of quarters in the row

so

For 4 quarters in the row, the length is equal to --> 0.96(3)=3.84\ in

For 6 quarters in the row, the length is equal to --> 0.96(6)=5.76\ in

For 12 quarters in the row, the length is equal to -> 0.96(12)=11.52\ in

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Responder:

1) x² + y²-8x + 10y + 16 = 0

2) x² + y² + x + 18y + 33 = 0

Explicación paso a paso:

A partir de la pregunta, debemos expresar la ecuación en la forma estándar de un círculo expresado como;

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1) Para la ecuación (x-4) ² + (y + 5) ² = 25

Expande el paréntesis;

(x-4) ² + (y + 5) ² = 25

x²-8x + 16 + y² + 10x + 25 = 25

x²-8x + 16 + y² + 10y + 25-25 = 0

Recopile términos similares;

x² + y²-8x + 10y + 16 + 0 = 0

<em>x² + y²-8x + 10y + 16 = 0 </em>

<em>Por lo tanto, la ecuación requerida es x² + y²-8x + 10y + 16 = 0 </em>

<em> </em>

2) Para la expresión (x + 1) ² + (y + 9) ² = 49

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Recopile términos similares;

x² + y² + x + 18y + 82-49 = 0

<em>x² + y² + x + 18y + 33 = 0 </em>

<em>Por tanto, la ecuación requerida es x² + y² + x + 18y + 33 = 0</em>

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