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mixas84 [53]
3 years ago
12

The end points of a diameter of a circle are (6,2) and (-4,7).

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard form equation of a circle with radius r is expressed as

( x − h )^2 + ( y − k )^2 =r ^2 ,

where r represents the radius

h and k are the coordinates of the center of the circle C( h , k )

To determine the coordinates at the center of the circle, the midpoint formula would be used. It is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint of the circle =

(6 - 4)/2 , (2 + 7)/2 = (1, 4.5)

h coordinate of the center = 1

k coordinate of the center = 4.5

r^2 = (x - h)^2 + (2 - k)^2

r^2 = (6 - 1)^2 + (2 - 4.5)^2

r^2 = 5^2 + (- 2.5)^2 = 25 + 6.25

r^2 = 31.25

Substituting r^2 = 31.25, h = 1 and k = 4.5 into (x − h )^2 + ( y − k )^2 = r^2, the standard equation of the circle becomes

(x − 1 )^2 + ( y − 4.5 )^2 = 31.25

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BaLLatris [955]

1. (-5,-12)

2. (3,-4)

To identify the constant H and K

- You need to write the given equation in vertex form

- Use complete the square method to write in vertex form

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a  (x - h)  ^{2}  + k

- after writing the equation in the world storm you can see that there is a h and a k

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2 years ago
(SAT prep) Find the value of x in each case of the following exercises:
yKpoI14uk [10]

The value of x from the figure is 70°

<h3>How to determine the value</h3>

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

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8 0
1 year ago
Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as
Trava [24]

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

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x / 6 = 2 / 3

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7 0
3 years ago
Consider the graphed function.
aev [14]

Answer:

Domain: -5 \leq x < 1

Range: -4 \leq y < 7

Step-by-step explanation:

The domain is the x-values for which the function exists. It starts off at x=-5, and since the dot is closed it includes it, and finishes at x = 1, where the dot is open.

The range is the y-values for which the function exists. It starts at y= -4, and since the dot is closed there, it includes his value. Then, it finishes at y = 7, where the dot is open meaning it doesn't include it.

4 0
3 years ago
Can someome please help me solve this my teacher hasn't done a good with teaching us this.
scoundrel [369]

Answer:

  30500 = 3.05·10^4

Step-by-step explanation:

Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.

__

This can be computed by converting both numbers to standard form:

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  = 500 +30000 = 30500 = 3.05·10^4

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Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.

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  = 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4

  = (0.05 +3)·10^4

  = 3.05·10^4

5 0
2 years ago
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