You can rearrange polynomials through the complete the square form in order to easily transform graphs:
Where ax^2 + bx + c = 0
Becomes
a (x + b/2)^2 -ab^2/4 + c =0
Where a is the vertical stretch, the constant ( -ab^2/4 + c) the translation unites up or down and the b/2 being the translation horizontally.
You can also find turning points much easier using the complete the square form
Eg. (x-3)^2 + 5 = 0
Since any x value (negative or positive) will become positive
(x-3)^2 > or = 0
Therefore minimum point is where x = 3 to equate to 0 which would give a y value of 5 therefore minimum point is
(3,5)
Other reasons for rearrangement include setting the equation of the form y= ax^2 + bx +c to y=0 to find the roots (x-intercepts) of the equation.
The answer is 221.1 cubic inches
Using the equation V=lwh, and plugging in the numbers, you would get your answer of 221.1 cubic inches
V=lwh
V=16 3/4 x 3 x 4 2/5
V=221.1 cubic inches
Step-by-step explanation:
Hint :- FH is total length of the line. And FG is the length of the line till point G. We need tos subtract the total length and Length of FG
GH = FH - FG
GH = 15 - 9.7
GH = 5.3 cm
Answer: 2p because yes :)
