Solve to find the value of x.
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
<u>Answer: </u>
The average speed that the club is assuming is 50 miles per hour
<u>Solution: </u>
We know that Distance = Speed × Time.
Here it is given that distance is 325 miles and the time to cover 325 miles is hours which is equal to
hours.
Now to find the average speed mile per hour we use the formula
By cancelling 325 by 13 we get 25
= 25 × 2
= 50 miles per hour
Thus the average speed that the club is assuming is 50 miles per hour.