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.
<span>Points: (0, 5) and (5, 8)Slope: 3/5 Equation: y = 3/5x+5 in slope intercept form.</span>
Answer: Aleah i think the answer is g
Step-by-step explanation:
17) The line that is John is closer to certain but not exactly on certain so I'd say it's "likely"
18) Using that same example as the one above, if 0 means impossible, then 1 means certain. I'd place your label for Sara at 1.
19) Let s = sides of the square. There are 4 sides and all sides are equal so we can set up the equation 4s = 64. Divide both sides by 4. s = 16. Now add 2 to this. 16 + 2 = 18. The length of each side of the original square was 18.
20) If the scale is 1 cm : 1 meter and the height of the model is 16 cm, then the actual plane must be 16 meters.
21) 2x and 100 are supplementary angles meaning together they must add up to 180.
2x + 100 = 180
2x = 180 - 100
2x = 80
Divide both sides by 2
x = 40
22) Assuming 3x is supposed to be the right angle, right angles are 90 degrees.
3x = 90
Divide by 3 on both sides
x = 30.
Answer:
The answer to this is A.) 8/17
