If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.
m = 
Change the sign of the slope:
Finally, make the reciprocal of the original slope (switching the numerator and denominator):
Simplify:
3
Final answer:
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:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.
Answer:
Adam: 52.26°
Step-by-step explanation:
Use Cosine Rule, 
, to find the angle of both players.
✔️Angle of Carlos:
Let the angle be C,
a = 50 ft
b = 40 ft
c = 24 ft
Plug in the values into the equation
C = 28.24° (nearest hundredth)
✔️Angle of Adam:
Let the angle be C,
a = 30 ft
b = 22 ft
c = 24 ft
Plug in the values into the equation
C = 52.26° (nearest hundredth)
Answer:
Your answer will be 202.
Step-by-step explanation:
4(8 - 6)5² - 6 ÷ (–3)
(4)(2)(25)+2
200+2
202
