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Harman [31]
3 years ago
8

A diameter of a circle has endpoints P(-10,-2) and Q(4,6).

Mathematics
1 answer:
Olenka [21]3 years ago
8 0
The equation for the midpoint is given by:
 P = (\frac{x1 + x2}{2} ,  \frac{y1 + y2}{2})
 Substituting values we have:
 P = (\frac{-10 + 4}{2} , \frac{-2 + 6}{2})
 P = (\frac{-6}{2} , \frac{4}{2})
 P = (-3 , 2)
 We can find the radius of the circle using the equation of distance between points:
 d = \sqrt{(x2-x1)^2 + (y2-y1)^2}
 Substituting values:
 d = \sqrt{(4-(-3))^2 + (6-2)^2}
 d = \sqrt{(4+3)^2 + (4)^2}
 d = \sqrt{(7)^2 + (4)^2}
 d = \sqrt{49 + 16}
 d = \sqrt{65}
 The equation of the circle is its standard form is:
 (x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2

 Where,
 (xo, yo): coordinates of the center of the circle
 r: radius of the circle
 Substituting values:
 (x + 3) ^ 2 + (y-2) ^ 2 = 65

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Stolb23 [73]

Based on the table, the equation of the line of best fit to the nearest thousandths is equal to y = 1.671x + 4.699.

<h3>How to determine the equation of the line of best fit?</h3>

Mathematically, the equation of the line of best fit is calculated by using this formula:

y = mx + c

<u>Where:</u>

  • m is the slope.
  • c is the intercept.

Based on the table, the slope and intercept to the nearest thousandths are equal to 1.671 and 4.699 respectively.

Therefore, the equation of the line of best fit is equal to y = 1.671x + 4.699.

Read more on line of best fit here: brainly.com/question/4674926

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2 years ago
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AleksAgata [21]
The answer is -6
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3 0
3 years ago
the table shows the price of sneakers in a store.40,37,25,35,29,43,34,26,39,43,51,47,35,27,45,28,50,41 . hat is the midian price
Yuliya22 [10]

Answer:

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Step-by-step explanation:

First, put the order of numbers in least to greatest.

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3 years ago
34x−5=4 x = <br> im confused
IRINA_888 [86]

Answer:

9/34

Step-by-step explanation:

Let us move all the numerical values to one side:

34x= 4+5

34x = 9

x=9/34

<em>I hope this helps! :)</em>

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The system of equations becomes:

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