Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.

. The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out.

. Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that:

. In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right:

. Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water.

. As you can see, our work matches choice C from above.
Answer:
40°
Step-by-step explanation:
As sum of angles of the triangle is 180°
therefore the third angle will be 180 -( 75 + 65)=40°
x=40°= vertically opposite angle
List the GCF of 18 and 28
18: 1, 2, 3, 6, 9, 18
28: 1, 2, 4, 7, 14, 28
So 2 is the GCF because it is the greatest number that can divide by both numbers
Answer:
144.44 yards
Step-by-step explanation:
The formula to find circumference is: C = π · d
Since we already have most of the factors figured out, we just replace them with what we have.
C = 3.14 · 46 yrds
144.44 = 3.14 · 46
Answer:
b is the answer
Step-by-step explanation: