Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
My bad I didn't even read the directions haha, It is an 8 sided octogon and the sides are Irregular
The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."
y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.
Answer:
1/18
Step-by-step explanation:
P(Orange AND Red)
= P(Orange socks)*P(Red shirt)
= 1/3*1/6
= 1/18
1st is 19
2nd is 23
3rd is 27
4th is 31
5th is 35
6th is 39
7th is 43
8th is 47
9th is 51
10th is 55
This is because you are adding 4 each time, the rule of the sequence is 4n+15
