y = -3(x<span> - 2)^2 + 1 </span>x<span>-coordinate of vertex: </span>x<span> = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 </span>Vertex form: y = -3(x<span> - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(</span>x^2 - 4x + 4) + 1 = -3x<span>^2 + </span>12x<span> - </span>11<span>. </span>
The volume of the pipe is about 282.6 cubic feet.
First, we need to find the area of each circular cross section and subtract them to find the width of the pipe. The area of a circle is pi(r^2).
pi(3^2) - pi(2^2)
28.26 - 12.56 = 15.7
The width of the pipe is 15.7. Now, multiply that by 18 to find the volume.
15.7 x 18 = 282.6
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
Answer:
x= -9......................
In a fraction, the number below the line (called the denominator) represent the whole. In this problem '8' is in the denominator and represents the 8 slices of pizza there were to start with
Answer=8 slices
