Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Both these expression are written in slope-intercept form. y = mx + b
m = slope
b = y-intercept
We can find the slope of each expression by finding what m is in each equation.
y = -3x + 2 -> m = -3
y = 4x - 5 -> m = 4
Remember that m = slope
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Wolfyy :)
Answer:
-A Constant rate of change
Step-by-step explanation:
I learned this for years.
If you multiply 6 * 5 you get 30. 30 * 103 = 3,090
There are 2 zeros in the product of (6x5)x103
What is (41 x 24) = 984
The largest 3-digit number is 999.
999 divided by 24 is 41.625 .
To say that another way: When you have a bucket with room for 1,000 in it, you can fit 24 into it 41 times, with some space left over … but not enough to squeeze in another 24.
So the largest number less than 999 that can fit some 24s into it with no space left over is (41 x 24) = 984 .
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