Given:
The slope of a line is 
.
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., . So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is . It means the slope of the perpendicular line must be 
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
Step-by-step explanation:
...hope it help u.... ..
Answer:
Step-by-step explanation:
First, you do the standard algorithm, then you have to slove, your answer is 120
To make a prediction as to how much you can climb in 5 hours we can find the line of regression (or line of best fit) for the data given, with time as the explanatory (or independent) variable and height as the response (or dependent) variable. Putting this data into the calculator we get:
Height (ft) = 33.153 + 2.333*Time (min)
Now if we want to predict the distance you are able to climb in 5 hours, we need to convert this to minutes first (as those are the units in the formula) - 5 hours = 300 minutes, thus:
Height (ft) = 33.153 + 2.333*300
= 733.053 ft
733.053 < 1000, therefor it is predicted that it will not be possible to climb a 1000 ft rock formation within 5 hours
Answer:
Therefore , the faster route distance is 13 miles.
Step-by-step explanation:
Given:
AB = 5 miles to East
BC = 12 miles to South
To Find:
AC = Faster and Direct Route = ?
Solution:
Consider ΔABC as a Right Angle Triangle, hence By Pythagoras Theorem,
Substituting the values we get
Therefore , the faster route distance is 13 miles.
