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
A probability p that an experiment will result in outcome A, then if we repeat this ... each integer has the same probability of being chosen. ... computer toss a coin, we can ask it to pick a random real number in the ... The famous letters between Pas- ..... for four tosses, and see if you think that these probabilities are, in fact, the.
I assume #3 is 19 because the slope of the line is still the same.
Hope this is right and it helps! I'm not very sure though.
Numbers are arranged by their place values. Place values give a quantity of value to a certain digit in a number. Given a number, the rightmost number is the ones place, followed by the tens place, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions, as so on and so forth. The place value of a certain digit is 10 times bigger than its adjacent digit to the right.
So for this problem, all you have to do is multiply the number of units of each place value, then multiple them all by 10.
(2(10) + 1(1))×10
21 × 10 = 210
Therefore, the number is equivalent and written as 210.
3 different pairs are...
0+1=1
-1+2=1
-2+3=1
