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ki77a [65]
2 years ago
12

What’s the radius of center (-2,1) and contains the point (2,-1)

Mathematics
1 answer:
solniwko [45]2 years ago
8 0
<h2>Radius of a Circle Given Center and Point</h2>

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

  • (x_1,y_1) is one point and (x_2,y_2) is another

<h2>Solving the Question</h2>

We're given:

  • Center: (-2,1)
  • Point: (2,-1)

Plug these given points into the formula for distance:

d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47

<h2>Answer</h2>

Therefore, the radius of the circle is \sqrt{20} units, or approximately 4.47 units.

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Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

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Explanation:

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