Answer:
Center: (3, -2)
Radius: 4.
Step-by-step explanation:
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2.
In this case, the equation given is (x - 3)^2 + (y + 2)^2 = 16.
That means that h = 3, and k = -2. In other words, the center of the circle is (3, -2).
The radius will be
= 4
Hope this helps!
Answer:
Pan is closest to Paris when she gets to Florence when she is 35 miles away
Step-by-step explanation:
With Paris at (0,0), Rome is 40miles west which is on the negative x axis.
Florence is 35 miles closer (east to Paris) so we have -45 + 35 = -10
and 55 mikes north of Rome which is on the positive y-axis. So Florence is at point (-10,55)
The distance between the two points Florence and Paris is √(x2 - x1)^2 + (y2 - y1)^2
x1 = 0, y1 = 0
x2 = -10, y2 = 55
So we have
√(-10-0)^2 + (55-0)^2
= √(-10)^2 + (55)^2
= √ 100 + 3025
= √3125
= 55.9 mikes from Paris
Pam is closest to Paris when she gets to Florence when she is 35 miles away
