Find an equation of the line perpendicular to the graph of 14x-7=1 that passes through the point at (-2,4)
1 answer:
we know that
If two lines are perpendicular, then the product o their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
------->
This line is parallel to the y-axis
so
the perpendicular will be parallel to the x-axis
Step 2
The equation of the line perpendicular to the given line is the y-coordinate of the given point
Point
the equation is
therefore
<u>the answer is</u>
see the attached figure to better understand the problem
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Answer:
Step-by-step explanation:
The equation of a hyperbola centered at the origin with vertices on the y-axis is given by:
The vertices of the hyperbola are the y-intercepts (0,12) and (0,-12)
This implies that:
The asymptote equation of a hyperbola is given by:
The given hyperbola has asymptote:
By comparison;
The required equation is:
Or
Answer: 44 degrees
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.