X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because a²+/-2ab+b² = (a+/-b)²
(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.
And if you are studying circles,ellipses and hyperbolas, the standard form should look like
Answer:
0.75 - 0.8
Step-by-step explanation:
4.5/6 = 0.75
The closest number to round 0.75 to is 0.8
7x +2y =-17 ..... Finally, answer
2x + 3y = -5
+
5x -y = -12
---------------------------
7x +2y = -17
Answer:
Probability of obtaining 6H and 4T = 0.2051
Step-by-step explanation:
Since for a fair coin,
Probability of obtaining Head = 0.5
p = 0.5
q = 1-p = 0.5
Probability of obtaining 6H and 4T = 10C6 (p)^6(q)^4 = 210*0.5^6*0.5^4
P(6H, 4T) = 0.2051
Answer:
13.9
Step-by-step explanation:
d = √[(-3-9)²+(9-2)²]
= √[144+49]
= √194
= 13.9