The standard form of the equation of a circle is .
Solution:
Center of the circle = (6, 4)
Radius of the circle =
<u>To find the equation of the circle:</u>
General formula for the equation of a circle
where (h, k) is the center of the circle and r is the radius of the circle.
Here, h = 6, k = 4 and r =
Hence the standard form of the equation of a circle is .
9514 1404 393
Answer:
62.5 oz of 100%
Step-by-step explanation:
Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...
p +0.60(100 -p) = 0.85(100)
0.40p +60 = 85 . . . . . . . . . . . simplify
0.40p = 25 . . . . . . . . . . subtract 60
p = 62.5 . . . . . . . . . divide by 0.4
62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.
_____
The other 37.5 ounces will be 60% syrup.
Complete the square of y^2 + 10y to answer this question.
x=y^2 + 10y + 22 becomes x = <em>y^2 + 10y + 100</em> - 100 + 22, or
x = (y+10)^2 - 78
Comparing this result to the generic form x = a(y-k)^2 + h, we see that
h = -78 and k = -10.
Then the vertex of this parabola is at (-78, -10).
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.