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:
A. -4
Step-by-step explanation:
J= Jake's Number
A= Amy's Number
2j = 3j+2
-j = 2
j = -2
check: 2(-2) = 3(-2)+2
-4 = -6+2
-4 = -4 (correct)
Jake's number is -2. Amy's is -4
NO.,the given measures can not be the lengths of the sides of a triangle
Step-by-step explanation
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
so, Find the range for the measure of the third side of a triangle given the measures of two sides.
here given measures are 2,2,6
2+2 = 4 which is less than the third side 6
= 4 < 6
This not at all a triangle.
Hence, the given measures can not be the lengths of the sides of a triangle
The answer is A. You can comment if u want an explanation :)
Angles in a line = 180
180-165 = 15 degrees
15 + 45 + ? = 180
60 + ? = 180
? = 120