Answer:
Option (D)
Step-by-step explanation:
Length of the bar EG = 1.6x
If F is a point on the bar such that,
EF + FG = EG
Measure of segment EF = 6
Measure of FG = x
By substituting measures of each side,
6 + x = 1.6x
1.6x - x = 6
0.6x = 6
x = 10
Length of EG = x + 6
= 10 + 6
= 16 units
Option (D) will be the correct option.
For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x) [No Relation]
(-x)^n = x^n for n -> even
(-x)^n = -x^n for n -> odd
In your example:
f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1 ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x) [between the bracket was the original fn]
f(x) = - f(-x)
so the function is odd also called symmetric about the origin
Answer:
perimeter: 22x-14
area : 24x^2-37x
Step-by-step explanation:
for perimeter, it is the length of all the sides added together
starting at the left and working clockwise
5x+((6x-7)-(3x+1))+2x+(3x+1)+(5x-2x)+(6x-7)
5x+6x-7-3x-1+2x+3x+1+5x-2x+6x-7
combine like terms
perimeter: 22x-14
for area, area of (5x*(6x-7)) and subrtact the missing portion of (2x*(3x+1))
(30x^2-35x)-(6x^2+2x)
area : 24x^2-37x