Answer:


Step-by-step explanation:
<h3>QUESTION-1:</h3>
we are given the center and the redious of a circle equation
remember that,

where (h,k) is the centre coordinate and r is redious of the circle
given that, h=-2 , k=-5 and r=1
Thus substitute:

simplify:

<h3>QUESTION-2:</h3>
Likewise

given that,h=7,k=-3 and r=√7
substitute:

simplify:

Answer:
40 mph
Step-by-step explanation:
To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:
168 = 0.05s^2 + 2.2s
0.05s^2 + 2.2s - 168 = 0
Using Bhaskara's formula: we have:
Delta = 2.2^2 + 4*0.05*168 = 38.44
sqrt(Delta) = 6.2
s1 = (-2.2 + 6.2)/0.1 = 40 mph
s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)
So the maximum speed of the car is 40 mph