So let's convert these to improper fractions:
Then let's convert these fractions so that they have a denominator of 15 so we can better compare these numbers:
So when we have gallons splash out, we are left with
gallons or
gallons in the tub.
Answer:
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
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
