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Ulleksa [173]
3 years ago
11

If endpoints of the diameter of a circle are (8,-6) and (4, -2), what is the standard form equation of the circle?

Mathematics
1 answer:
Len [333]3 years ago
4 0

Answer:

(X-6)^2 + (y+4)^2 = 8

Step-by-step explanation:

So the distance between the two points is 4 sqrt(2) by using the distance formula. So the diameter of the circle is 4sqrt(2) and the radius is 2sqrt(2).

Now we have to find the center of the circle, which is (6,-4) by the midpoint formula.

Since the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, we can substitute in h, k, and r.

(X-6)^2+(y+4)^2 = 8

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Simplify the expression. 6c − 8d + 3c + 4d
bixtya [17]

Answer:

9c -4d

Step-by-step explanation:

6c − 8d + 3c + 4d

Combine like terms

6c + 3c − 8d +4d

9c -4d

8 0
3 years ago
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
SashulF [63]

Answer:

y = \frac{1}{2}x + 6

Step-by-step explanation:

Let \ (x _1  y _ 1 ) = ( 6 , 9 )  \ and  \ (x _ 2 , y _ 2 ) \  = ( 0 , 6 )\\\\

Step 1 : Find slope, m

              slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}

Step 2 : Find the equation

                (y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6

3 0
3 years ago
Read 2 more answers
What number gives a result of −1 when 99 is subtracted from the quotient of the number and 4
marishachu [46]
Let the number be x. Then:-

(x/4) - 99 = -1

x/4  = -1 + 99 = 98

x = 98 * 4 =  392  Answer
5 0
4 years ago
Can someone please explain this math problem to me? I keep redoing it but I don't understand. The problem is 5.6 ÷ 16. I keep ge
lukranit [14]

Answer:

I agree with Derek and disagree with  What if you want to do it the long way and use the distributive property and distribute the 2 first? You would do: 8 / (4+4) = 1.

Or does the distributive property suddenly no longer apply?

That's what I would say proves that 1 is correct.

I trust Morgan because she's had a math class this decade.

Wikipedia says you hate America if you get 16.

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO SANP (ADAMBELAL839)

4 0
3 years ago
Read 2 more answers
How do I solve for x? log (x-2) = -1 + log (x+1)
Brilliant_brown [7]
For this question you can say:
log(x-2) - log(x+1) = -1 
and you should know that log(x-2) minus log(x+1) is equal to:
log((x-2)/(x+1)) 
so now you have:
log((x-2)/(x+1)) = -1 
now you can say:
(x-2)/(x+1) = 10^ -1 or (x-2)/(x+1) = 1/10 
now you can say:
10(x-2) = x+1 
10x -20 = x +1 
10x - x = 20+1 
9x = 21 
x = 21/9 
x = 7/3 :)))
I hope this is helpful
have a nice day
3 0
4 years ago
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