Answer:
The equation of the line is
Step-by-step explanation:
Equation of a line is
Where m is the slope
c is the y intercept
y = 2x + 3
Comparing with the above formula
m is 2
Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .
That's
m = - 1/2
Equation of the line using point (1,2) and slope - 1/2 is
y - 2 = -1/2(x - 1)
y - 2 = -1/2x + 1/2
y = -1/2x + 1/2 + 2
The final answer is
Hope this helps you.
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Explanation:
The fourth root of x is the same as x^(1/4)
I.e,
The same applies to x^10 as well
Multiply the exponents 10 and 1/4 to get 10/4
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If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below
The 'a' and 'b' are found through dividing m/n
m/n = a remainder b
'a' is the quotient, b is the remainder
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The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4
m/n = 10/4 = 2 remainder 2
We have a = 2 and b = 2
So
turns into
which means
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,