The perpendicular line would have a slope of 3.
Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.
x + 3y - 5 = 0
3y - 5 = -x
3y = -x + 5
y = -1/3x + 5/3
To do the opposite, take the original slope (-1/3) and change the sign (1/3).
To do the reciprocal, take the slope we changed (1/3) and flip it as a fraction (3).
This gives us a new slope of 3.
Distance^2 = 8^2 + 15^2
Distance^2 = 64 + 225
Distance^2 = 289
Distance = 17 kilometers
Equal groups means that different items will be divided in groups with the same number of items in it.
Example: we have 3 bananas and 5 apples. Finding the smallest common multiple<span> of the two integers 3 and 5, the </span>least common multiple (LCM) will give us the number of items that every group should have.
The LCM is 15.
We will have 15/3=5 groups of bananas with 3 bananas in each and 15/5=3 groups of apples with 5 apples in each.
Answer:
Yes!
Step-by-step explanation:
Correct