A boat attempts to sail due east at 15km/h, but is taken off course by a current of 5 km/h flowing in the southwest direction. F
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The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer
Step-by-step explanation:
A linear function is any function that graphs to a straight line
(not a vertical line)
The forms of the linear equation are
- y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
, where m is the slope and
is a point lies on the line which represent the function ⇒ slope-point form
- Ax + By = C, where A, B, and C are constant ⇒ standard form
Linear function means the greatest power x and y in the equation of the function is 1
∵ The equation is y - 2 = -5(x - 2)
∵ The greatest power of x and y is 1
∵ The equation is in the form of , where
m = -5 and the coordinates of the point are (2 , 2)
∴ The equation represents a linear function
The equation y - 2 = -5(x - 2) represents a linear function
Learn more:
You can learn more about the linear function in brainly.com/question/4326955
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Answer:
Step-by-step explanation:
To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).
Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.
The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.