You can do this by completing the square on x and y terms:
x^ - 10x + y^2 + 6y + 18 = 0
(x - 5)^2 -25 + (y + 3)^2 - 9 + 18 = 0
(x - 5)^2 + (y + 3)^2 = -18 + 9 + 25 = 16
so radius = sqrt16 = 4 answer
Answer:
1. There are 8 big fish for every 10 small fish.
2. There are 4 big fish for every 5 small fish.
Answer:
Step-by-step explanation:
(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43
Answer:
ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Step-by-step explanation:
Here, assume such number = m
Now, given :
3 times the number = 3 x ( m) = 3 m
8 less than the given number = m - 8
Now, according to the question:
3 times the number > 8 less than the given number
or, 3 m > m - 8
or, 3m - m > m - 8 + m
or, 2 m > - 8
or, m > - 4
Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.
For example:
76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
