Answer:
(x-4)² + (y+3)² = 9
Step-by-step explanation:
The equation of a circle of radius r centered at (h, k) is ...
... (x-h)² + (y-k)² = r²
Subsituting your given values gives ...
... (x -4)² +(y -(-3))² = 3²
... (x -4)² +(y +3)² = 9
Answer:
The correct answer is option B.
Step-by-step explanation:
Two point form of the equation:
A line passing through the point (-1,6) with slope ,m = -3.
The equation of the line will be: y-6= (-3)(x-(1))=(-3)(+1)
Answer:
5 minutes to run 1 kilometer
Step-by-step explanation:
Alonzo takes 12 minutes to run 6 times around a 400-meter track.
6 times around a 400 m track
400 * 6 = 2400 meters
It take 12 minutes to run 2400 meters
2400 meters = 2400/1000 = 2.4km
distance = 2.4 km and time = 12 minutes
Now we find our constant speed

2.4 = speed * 12
divide by 12 on both sides
speed = 0.2
so speed is 0.2 km per minute
Now we find out time when distance = 1km
Distance = speed * time
1 = 0.2 * t
divide by 0.2 on both sides
5 = t
So it take 5 minutes to run 1 kilometer
Radius = 6 inches
Arc lenght = 11pi inches
Degrees ?
Arc lenght = radius x angle in radians
A = r * a
Solving for a:
a = A/r = 11pi/6 = 5.759586532 radians
5.759586532 to degrees ==> a = 330 degrees
Answer:
330 degrees