Are the lines y = –x + 8 and 4x + 4y = 12 perpendicular? Explain.
1 answer:
We have that
<span>y = –x + 8
and
4x + 4y = 12
we know that
if two lines are perpendicular
so
m1*m2=-1
step 1
find the slope of the lines
</span>y = –x + 8 -------> m1=-1
4x + 4y = 12-----> x+y=3 (divided by 4 all expression)
y=3-x
m2=-1
therefore
m1=m2
the lines are parallel
the answer is
<span>No; their slopes are not opposite reciprocals.
</span>
see the attached figure
<span>y = –x + 8
and
4x + 4y = 12
we know that
if two lines are perpendicular
so
m1*m2=-1
step 1
find the slope of the lines
</span>y = –x + 8 -------> m1=-1
4x + 4y = 12-----> x+y=3 (divided by 4 all expression)
y=3-x
m2=-1
therefore
m1=m2
the lines are parallel
the answer is
<span>No; their slopes are not opposite reciprocals.
</span>
see the attached figure
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Answer:
229.5
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At =
At =
At =
At = 97.5
Now we simply add both areas together to calculate the total area of the arrow...
132 + 97.5
= 229.5