Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?
2 answers:
Answer:- The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
Explanation:-
The x -axis is a horizontal line with the equation y=0. Its slope is 0
The y -axis is a horizontal line with the equation x=0 . Its slope is not defined.
y=-6 is a horizontal line and is parallel to x axis.
∴Its slope is 0. [slope of parallel lines are equal]
x=1/6 is a vertical line parallel to y-axis.
∴ Its slope not defined. [slope of parallel lines are equal]
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Answer:
Step-by-step explanation:
we know that
In this problem
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem
square root both sides
we know that
The x-intercept is the value of the variable x when the value of the function is equal to zero
so
In the table we have
is a x-intercept, because
For the value of the function is equal to zero
is a x-intercept, because
For the value of the function is equal to zero
therefore
<u>the answer is</u>
the continuous function in the table has two x-intercepts