I have a cage with cats and birds. there are 12 heads and 32 feet. how many birds are there
2 answers:
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Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have
The equation of the line into point slope form is equal to
substitute
Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so
the slope of the line 1 is equal to
Find the slope m2
Find the equation of the line 2
we have
The equation of the line into point slope form is equal to
substitute
Part 3) we have
The equation of the line into point slope form is equal to
substitute
Part 4) we have
-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to
substitute the values
Part 5) we have that
The slope of the line 4 is equal to
so
the slope of the line perpendicular to the line 4 is equal to
therefore
in this problem we have
The equation of the line into point slope form is equal to
substitute
Part 6)
using a graphing tool
see the attached figure
