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Brilliant_brown [7]
3 years ago
12

Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}

Replacing the numeric values:

r^{2} =(3- (-2)) ^{2} + (2-3) ^{2}\\r^{2} =(5) ^{2} + (-1) ^{2}\\r=\sqrt{26}

The radius of the circle is √26.

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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
jenyasd209 [6]

Answer:

Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

Step-by-step explanation:

Equilateral triangle property:

  • All sides of the equilateral triangle are equal.
  • Angle of every equilateral triangle are equal to 60°.
  • Every altitude of an equilateral triangle is also a median and a bisector.
  • Each median is also an altitude and a bisector.
  • Each bisector is also an altitude and a median.

Therefore, by equilateral triangle property;

Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.

Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.

8 0
3 years ago
Read 2 more answers
Adam is training a group of cyclists. Each cyclist completes a 10-kilometer time trial during training. Adam records the times,
nydimaria [60]

The histogram which shows the results of the time trial is option B

<h3>Histogram</h3>

Given data:

12:32, 12:46, 13:30, 15:03, 13:43, 13:46, 14:20, 14:29, 12:34, 14:43, 15:26, 16:02, 16:16, 14:38, 16:55, 17:10, 14:26, 17:21, 17:58, 13:30

Grouping of data,:

12:00 - 12:59 = 3

13:00 - 13:59 = 4

14:00 - 14:59 = 5

15:00 - 15:59 = 2

16:00 - 16:59 = 3

17:00 - 17:59 = 3

  • The frequency is represented on the y-axis(number of cyclist)
  • The time is represented on the x-axis

Learn more about histogram:

brainly.com/question/9388601

#SPJ1

7 0
2 years ago
Which point is a solution to the system of equations graphed below?
UkoKoshka [18]
C.

This is because the x vale is clearly after the 6 and the y value is right on 5 
3 0
3 years ago
Which ratio is not equivalent to 3:4 ?
lions [1.4K]

Answer:

36 minutes

Step-by-step explanation:

10blocks in 6mins

20blocks in 12mins

30blocks in 18mins

40blocks in 24mins

50blocks in 30mins

60blocks in 36mins

4 0
3 years ago
Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th
Romashka-Z-Leto [24]
X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740
7 0
3 years ago
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