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Likurg_2 [28]
3 years ago
12

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

Mathematics
1 answer:
madam [21]3 years ago
7 0
Option 3 is the correct because you have to solve it all together addition
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Number 36 please for geometry
Mumz [18]

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

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 = -----------

          2

and

         -1

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

          2

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
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the firs
Rus_ich [418]

0.035x+0.045x=427.50
0.08x=427.50
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x=5343.75



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Problem 2
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Answer:

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Step-by-step explanation:

I will explain in the comments to this response

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2 years ago
If 3x – 10 = 17, what is the value of 6x + 20 ?
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3x-10=17\ \ \ /\cdot2\\\\2\cdot3x-2\cdot10=2\cdot17\\\\6x-20=34\ \ \ \ /+40\\\\6x-20+40=34+40\\\\6x+20=74
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