The standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is
Answer:
$26.25
Step-by-step explanation:
multiply 350 by 0.075
Answer:
Katie will have 7 dollars left over.
Step-by-step explanation:
100
She buys a book so subtract 23 from 100.
100-23= 77
Katie has 77 dollars and wants to donate $10 to as much charities. 10 can go into 77, 7 times, which means she can only donate to 7 charities in $10.
Greatest common factor (GCF) of 7 and 15 is 1. We will now calculate the prime factors of 7 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7 and 15.
The answer is 1/2. The purple shape is half the size of the black shape.