A pony in a pony ride takes 42 seconds to make one circuit around a circle. The circumference of a circle is 84 m. What is the a
2 answers:
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Answer:
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by
then with h = -3, k = -11 and r= 11, the equation of our circle is
Simple...
you have: 8x-6y=1
You're trying to find m-->>using y=mx+b to re-write the line....
8x-6y=1
8x-6y=1
-8x -8x
-6y=-8x+1
y=
Your slope m=
Thus, your answer.
you have: 8x-6y=1
You're trying to find m-->>using y=mx+b to re-write the line....
8x-6y=1
8x-6y=1
-8x -8x
-6y=-8x+1
y=
Your slope m=
Thus, your answer.