Hello : an equation of the circle <span>Center at the A(a,b) and ridus : r is : (x-a)² +(y-b)² = r² in this exercice : a = -2 and b =-3 (</span><span>Center A(-2,-3)) r = AP......(P(-2,0)) r² = (AP)² r² = (-2+2)² +(-3-0)² = 9 </span><span>an equation of the circle that satisfies the stated conditions. Center </span> A(-2,-3) , passing through P(-2, 0) is : (x+2)² +(y+3)² = 9
b) The probability = 1 ÷ [ Number of ways to select the four dancers ]
Step-by-step explanation:
a) Here it is only required to calculate the number of ways to select the four dancers and the order of the dancers is not required i.e not important for us.
Hence, we will use a combination to select 4 out of 22 dancers
i.e ²²C₄
b) Since the dancers selected are 4 predetermined individuals
therefore,
number of ways to select selecting dancers Laura, Matthew, Lakiesha, and Santos will be '1'
Hence,
The probability = 1 ÷ [ Number of ways to select the four dancers ]
