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:
C
Step-by-step explanation:
It’s how you would solve the equation
Answer:
true
Step-by-step explanation:
Question #25:
One way to solve this is by multiplying the number of packages per serving by the number of guests.
1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.
A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.
3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.
Question #26:
First, find common denominators.
2/3 = 8/12
1/4 = 3/12
Second, subtract.
8/12 - 3/12 = 5/12
Therefore, the tank is 5/12 full at the end of the trip.
Question #27:
1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.
Therefore, the original string was as a total of 6 meters.
Best of Luck!
Since we don't know how much students there is going to be, let's assume it's x. 367x+1500=16600. 16600-1500=15100. We have to isolate x by itself so 15100/367 which equals 41.14etc And round it to 41 since there can't be a decimal of a student. Hope this helped.
