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Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = = 6
Answer:
3.3 ×
Step-by-step explanation:
1. Move the decimal in 33,000 to the left until the number now has a value between one and ten
<em>Original number: </em>33,000.
<em>New number: </em>3.3000 (3.3)
As you can see the decimal has been moved to the left four times.
2. Now we need to plug it into the "scientific notation formula" which looks like this: ×
. 'x' will be the number we just got (3.3) and 'y' will be the number of times we moved the decimal (4).
3.3 ×
I hope I explained this good for you. Let me know if you need more help!