A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.
So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:
Try to do the same thing with the y coordinates, and you'll get the y-coordinate 
. This first part will be over, because the circle will be point
B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:
Divide this length by 2 and you'll get the radius.
C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is
Substitute 
and with the coordinates of the center (found in point A.) and 
with the radius (found in point B.) and you'll have the equation of the circle.
Answer:
<u>Given equation:</u>
<u>To find the y-intercept, evaluate the equation with x = 0:</u>
- y = 10*0 - 32
- y = 0 - 32
- y = -32
<u>To find the x-intercept, evaluate the equation with y = 0:</u>
- 0 = 10x - 32
- 10x = 32
- x = 32/10
- x = 3.2
Bly sold 29 scarves last month
<em><u>Solution:</u></em>
Let "x" be the number of scarves sold
Bly made 7 more scarves than she sold
Then, number of scarves made = x + 7
Bly makes fleece scarves and sells them for $11 each
Thus for selling "x" scraves , he will get 11x dollars
Total sales revenue = 11x
number of scarves made = x + 7
The supplies cost her $5 per scarf
Therefore, cost for scarves made = 5(x + 7)
Therefore,
profit = Total sales revenue - cost for scarves made
profit = 11x - 5(x + 7)
profit = 11x - 5x - 35
profit = 6x - 35
Last month, Bly had a profit of $139
139 = 6x - 35
6x = 174
x = 29
Thus Bly sold 29 scarves last month
Step-by-step explanation:
2/3 gallons is empty
1/3 gallons is filled
so
3*1/3= 1
1 gallon filled
