is the equation of the required circle.
Step-by-step explanation:
Step 1 :
Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.
We need to determine the circle's equation with this diameter
Step 2 :
The mid point of the diameter will be center of the required circle.
Let M = (x,y) be the mid point of the circle.
So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2
M = ( 7, -6) is the midpoint of the diameter and the center of the circle.
Step 3 :
The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)
Distance between the 2 points is given by
So distance between A(8,-9) and M ( 7,-6) =
=
Hence the radius r is
Step 4 :
The equation of circle with center (a,b) = (7,-6) and radius r = is given by
=>
=> is equation of the required circle.
Step 5 :
Answer :
is equation of the required circle.
Answer:
1+2a
Step-by-step explanation:
To find the midpoint, add the two points together and divide by 2
(1+ 1+4a) /2 = (2+4a)/2 = 2/2 + 4a/2 =1 +2a
)
What is the missing number
Answer:
*4
Step-by-step explanation:
Answer:
4
6x9=54=(6*5)+(6*4)
Step-by-step explanation:
6x9=54=(6*5)+(6*4)
6x9=54
54 is the number you are trying to get
6*5= 30
so now you need something to add up to 54
6*4=24
24+30=54
Answer:
7:30 , 7:55 ,8:20 ,8:45 ,9:00, 9:25
Step-by-step explanation:
We subtract 7:55 from 8:20
1) 8:20
- 7:55
2) 7:2 60
-7:55
3) 0:25
we put 60(because it's time and we put in in 1 hour 60 minutes)and we take 1 hour from the 8 to put the 60 minutes ,so we continue adding 25 minutes to the time.
The question relates to Mathematics, specifically the patterns in sequences. The sequence 7:30, 7:55, 8:20 increases by 25 minutes each turn. Hence, the next term in the sequence is 8:45.
The question you asked belongs to the field of Mathematics, more specifically, it pertains to sequences and patterns. The series 7:30, 7:55, 8:20 appears to progress with a common difference of 25 minutes. To derive subsequent terms, continue adding 25 minutes to the preceding term.
Let me illustrate this with an example: The first term is 7:30, and if we add 25 minutes, we get 7:55, which is the second term. Adding 25 minutes to 7:55 gives us 8:20, which is the third term. Hence, If we add 25 minutes to 8:20, the next term would be 8:45.
So to answer your question directly, the next term in the given series would be 8:45.
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