Does the point (-10,3) lie on the circle that passes through the point(-2,9) with center (-3,2)?

D) Yes, the radius and distance are equal.

Step-by-step explanation:

1. Find the radius (distance formula): √((-2 + 3)² + (9 - 2)²) = √(1 + 49) = √50 = 5√2. A and C can not be the answer because the reasoning is wrong.

2. Find the distance from the center to the point (distance formula):

√((-10 + 3)² + (3 - 2)²) = √(49 + 1) = √50 = 5√2.

By the definition of a circle, point (-10, 3) is part of the circle because its distance from the center is equal to the radius.

The area of the top of the table is 28 × 20 = 560 cm2. The area of Patty’s tiles is 8 cm2 each and the area of Jake’s tiles is 9 cm2 each. Patty will need 560 ÷ 8, or 70, tiles. Jake will need 560 ÷ 9, or about 63, tiles. So,

Patty will use about 7 more tiles

Step-by-step explanation:

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