Using Pythagoras:
12^2+5^2= 144+25=169
√169= 13
Answer:
P(2c - h, 2n - s )
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_________________________________________________
in the problem midpoint is m(c,n)
one point is Q(h,s)
let other point be P(x,y)
By using midpoint formula given above
for point P(x,y) and Q(h,s)
midpoint = (x+h)/2, (y+s)/2
also midpoint is m(c,n)
comparing m(c,n) with (x+h)/2, (y+s)/2
c = x+h/2
=> 2c = x+h
=> 2c - h = x
n = (y+s)/2
=> 2n = y+s
=> 2n - s = y
Thus, second endpoint is P(x,y) = P(2c - h, 2n - s )
Answer:
The frequency = 5/2π
Step-by-step explanation:
* Lets revise some facts about the trigonometry function
- If the function is f(x) = A sin (B x + C) + D
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
- Period and Frequency are related where frequency = 1/period
* C is the horizontal shift
- The horizontal shift is how far the function is shifted to left
(C is positive) or to right (C is negative) from the original position.
* D is the vertical shift
- The vertical shift is how far the function is shifted vertically up
(D is positive) or down (D is negative) from the original position.
* Lets solve the problem
∵ f(x) = 3 cos (5x) + 2
∵ f(x) = A sin (B x + C) + D
∴ A = 3 , B = 5 , C = 0 , D = 2
∵ The period = 2π/B
∴ The period = 2π/5
∵ The frequency = 1/period
∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5
∴ The frequency = 5/2π
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ Percentage = (amount / total) x 100
Substitute the values in:
Percentage = (27/50) x 100
Solve:
Percentage = 54%
<h3><u>✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The slope of that graph is 1/2
