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AlladinOne [14]
3 years ago
13

AB¯ is the diameter of circle T. Point A is located at (-4,2) and point B is located at (2,-8). What are the coordinates of the

center of this circle?
Mathematics
2 answers:
postnew [5]3 years ago
8 0

Centre is at the middle or the midpoint of the diameter.

And the formula of midpoint is

( \frac{x_{1} +x_{2}}{2},\frac{y_{1} +y_{2}}{2})

For the given question, x1=-4, y1=2, x2=2, y2=-8

So we will get

( \frac{-4+2}{2}, \frac{2-8}{2} ) = (-1, -3)

And that's the required centre .

Rus_ich [418]3 years ago
3 0

Answer:  The required co-ordinates of the center of the circle are (-1, -3).

Step-by-step explanation:  Given that AB is the diameter of circle T. The co-ordinates of point A are (-4, 2) and the co-ordinates of point B are (2, -8).

We are to find the co-ordinates of the center of this circle.

We know that

the center of a circle is the mid-point of any of its diameter.

The co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).

Therefore, the co-ordinates of the midpoint of diameter AB are

\left(\dfrac{-4+2}{2},\dfrac{2-8}{2}\right)\\\\\\=\left(\dfrac{-2}{2},\dfrac{-6}{2}\right)\\\\=(-1,-3).

Thus, the required co-ordinates of the center of the circle are (-1, -3).

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Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

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7 0
3 years ago
Consider the following data set with an even number of data
photoshop1234 [79]
I guess “1” is the minimum value
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For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The
hodyreva [135]

Answer:

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Step-by-step explanation:

35x + 25y = 11500

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-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

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Answer:

V=718.7\ cm^{3}

Step-by-step explanation:

we know that

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we have

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substitute the values in the formula

V=\frac{1}{3}(14)^{2}(11)

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4 0
3 years ago
Not sure I understand 23-26. Can someone explain?
Marina86 [1]

Answer:

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Step-by-step explanation:

23. Given equation: g-(-7)

G=121

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Hope this helped!

8 0
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