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4vir4ik [10]
3 years ago
8

Please answer this multiple choice question!

Mathematics
2 answers:
Bond [772]3 years ago
7 0

Answer:

  d. 11.3 cm

Step-by-step explanation:

The radius of the circle is the length CP, which can be found using the Pythagorean theorem. Since CQ ⊥ PR, you know that Q is the midpoint of PR and PQ = 8 cm.

Then the Pythagorean theorem tells you ...

  CP² = CQ² +PQ² = (8 cm)² + (8 cm)² = 128 cm²

  CP = √128 cm = 8√2 cm

  CP = 11.3 cm

givi [52]3 years ago
4 0

Answer:

\large\boxed{d.\ 11.3\ cm}

Step-by-step explanation:

Look at the picture.

CQ is a perpendicular bisector of PR. Therefore QR = QP.

PR=16\ cm\to QP = 16 cm : 2 = 8\ cm

The segment CP is a radius of the given circle.

We have the right triangle CQP. Use the Pythagorean theorem:

CQ^2+QP^2=CP^2

Substitute CQ = 8 cm and QP = 8 cm.

CP^2=8^2+8^2\\\\CP^2=64+64\\\\CP^2=128\to CP=\sqrt{128}\\\\CP\approx11.3\ cm

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Answer:

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Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

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