Please help me with 1 and 2
1 answer:
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Answer:
The probability is
Step-by-step explanation:
Given number of cypress trees = 44
Given number of dogwoods trees = 44
Now assume all cypress trees as 1 unit and dogwood trees as 1 unit.
So , there are 2 units
Now, the 2 units can be arranged in 2! ways.
here internally the 44 dogwoods and 44 cypress trees will not shuffled( as all are the same) we have
P( all trees of 44 cypress are next to each other and all 44 dogwoods trees are next to each other)
Given:
The equations of lines are
To find:
The relation between two of lines.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
We have,
...(i)
...(ii)
Equation (i) can be written as
...(iii)
On comparing (i) with slope intercept form, we get
On comparing (iii) with slope intercept form, we get
Now,
The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.
Therefore, the given lines are perpendicular.