What is the measure of ∠H?
2 answers:
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Answer:
Slope of PQ = 0
Slope of MN = infinity
PQ and MN are perpendicular to each other
Step-by-step explanation:
for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by
For any line if slope is zero it is parallel to X axis and perpendicular to Y axis
For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis
Also we know X and Y are perpendicular to each other.
Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis
Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.
Thus two lines PQ and MN are perpendicular to each other.
Answer with Step-by-step explanation:
We are given that
For each real number
To prove that f is one -to-one.
Proof:Let and
be any nonzero real numbers such that
By using the definition of f to rewrite the left hand side of this equation
Then, by using the definition of f to rewrite the right hand side of this equation of
Equating the expression then we get
Therefore, f is one-to-one.