Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

3 - 1

x = -----------

and

-1

y = ----------

The center is at x = 1 and y = -1/2: (1, -1/2).

b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r². In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4

8 0

3 years ago

Which is Greater 3/4 or 11/16

Elan Coil [88]

$\frac{3}{4} = .75$
$\frac{11}{16} = .6875$

$\frac{3}{4} \ \textgreater \ \frac{11}{16}$

6 0

3 years ago

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