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

Answer: A. $6x + $27 < $87
Step-by-step explanation:
Your question says “...x represents the number of times he eats out”, when he eats out its $6, so that means obviously that the x would be by the 6 and the less then symbol would be facing 87 cause your wont to spend less then that amout.
Have a good day and stay safe :)
Answer:
A solution curve pass through the point (0,4) when
.
There is not a solution curve passing through the point(0,1).
Step-by-step explanation:
We have the following solution:

Does any solution curve pass through the point (0, 4)?
We have to see if P = 4 when t = 0.




A solution curve pass through the point (0,4) when
.
Through the point (0, 1)?
Same thing as above




No solution.
So there is not a solution curve passing through the point(0,1).
Answer:
.109090909 miles per hour
Step-by-step explanation:
To find miles per hour, take the miles and divide by the hours
12 miles/110 hours
.109090909 miles per hour
Answer:
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Step-by-step explanation:
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