Before determining the equation of the circle, we must determine first the radius of the circle and its center point.
Radius of the circle:
We find the distance between points R and S and divide it to 2. To find the distance between two points, the equation is
d = √[(x2 - x1)²+(y2 - y1)²]
d = √[(4 - -2)²+(2 - 2)²]
d = 6
r = 6/2
r = 3
Then, we find the centerpoint by finding the midpoint of both points, since the center of a diameter is the center of the circle. Let centerpoint be (h,k). The formula would be
h = (x1 +x2)/2 = (-2+4)/2 = 1
k = (y1 + y2)/2 = (2+2)/2 = 2
Now that we know all parameters, we substitute this to the standard equation for a circle:
(x - h)² + (y - k)² = r²
(x-1)² + (y - 2)² = 3²
The equation of the circle would be (x-1)² + (y - 2)² = 9
Answer:
1 3/4 simplified or 1 12/16 not simplified
Answer:
1.5
Step-by-step explanation:
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Complete the math in the brackets (4a + 1)
Multiple each term in the brackets by 4a
4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a