Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
the slope is -1/3
Step-by-step explanation:
point 1 = (0,4)
point 2 = (6,2)
m= y2-y1/x2-x1
m = 2 - 4/ 6- 0
m = -2/6
m = -1/3
Time taken for hare to catch up with the tortoise will be found as follows:
time taken=distance/(relative speed)
relative speed=(speed of hare-speed of tortoise)
speed of hare=500/20=25 cm/sec
speed of tortoise=250/50=5 cm/sec
relative speed will be:
(25-5)=20 cm/ sec
thus the total time taken for hare to catch up with the tortoise will be:
1000/20
=50 sec
Answer: 50 sec
3/4x - 11
first calculate the sum
3/4x - 8 - 3
then calculate the difference
3/4x - 11