Answer:
Step-by-step explanation:
x²+y²-2x-10y+1=0
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-2
g=-1
2f=-10
f=-5
radius=(1,5)
c=1
let eq. of circle be x²+y²-2x-10y+c=0
∵ it passes through (2,-3)
2²+(-3)²-2(2)-10(-3)+c=0
4+9-4+30+c=0
c=-39
eq. of circle is is x²+y²-2x-10y-39=0
For Q2 it is just a simple matter of using a tree diagram for each possible outcome. So there are 4 black balls (B) and 2 white (W) and by using a tree diagram of the possible outcomes it comes to a 3 out of 5 points go to player 1 if B was drawn first and 2 go to player 2. If W was drawn first though, then player 1 gets 1 out of 5 points and 4 goes to player 2 and if you add up the probabilities at the end it comes to player 1 having a 14 out of 30 chance and player 2 having a 16 out of 30 chance therefore player 2 would have a better chance at winning and it isn't a fair game
Answer:
54
Step-by-step explanation:
Answer:
Ratio as a fraction in simplest form is, 
Step-by-step explanation:
Ratio defined as the relationship between the quantities of something i.e,
a: b = 
Given: 51 correct : 9 incorrect
By definition of ratio:
51 correct : 9 incorrect = 
Divide both numerator and denominator by 3 we get;
then
The ratio as a fraction in simplest form is, 17 correct : 3 incorrect or
Answer:
52
Step-by-step explanation:
94+34=128
180-128=52
