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dedylja [7]
4 years ago
10

A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?

Mathematics
1 answer:
scZoUnD [109]4 years ago
4 0

Answer:

Inside the circle

Step-by-step explanation:

Use the distance formula to find the distance between the center and the point.

d = √((x₁ − x₂)² + (y₁ − y₂)²)

d = √((-6 − 3)² + (3 − (-3))²)

d = √((-9)² + (6)²)

d = √(81 + 36)

d = √117

d ≈ 10.817

This is less than the radius of 11, so the point is inside the circle.

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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
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Answer:

<em>x = 59</em>

Step-by-step explanation:

<u>Equations</u>

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:

x + x + 2x + 3 + 2x + 3 = 360

Simplifying:

6x + 6 = 360

Subtracting 6:

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horrorfan [7]

Answer:

Any one of these three works:

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plane MNU

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Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

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