The altitude of the hypotenuse of a right triangle divides the hypotenuse into 45 in. and 5 in. segments. What is the length of
1 answer:
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we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
in this problem we have
the point is on the line of direct variation
so
Find the constant of proportionality k
-------> substitute ------>
the equation is
Remember that
If a point is on the line of direct variation
then
the point must satisfy the equation of direct variation
we're proceeding to verify each point
<u>case A)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case B)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case C)</u> point
Substitute the value of x and y in the direct variation equation
-------> is not true
therefore
the point is not on the line of direct variation
<u>case D)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
<u>case E)</u> point
Substitute the value of x and y in the direct variation equation
-------> is not true
therefore
the point is not on the line of direct variation
<u>case F)</u> point
Substitute the value of x and y in the direct variation equation
-------> is true
therefore
the point is on the line of direct variation
therefore
<u>the answer is</u>