Answer:
(-1,-6)
Step-by-step explanation:
We have the following function:
The following transformation is applied
So
For a second order function in the format:
The vertex is:
In which
In this problem
So
Then
So the correct answer is:
(-1,-6)
Answer:
Convert 5 5/32 to an improper fraction.
Step-by-step explanation:
Exact Form:
165/32
Decimal Form:
5.15625
Mixed Number Form:
5 5/32
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Answer:
An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where
Given the line
y = -13x+4
comparing with the slope-intercept form of the line equation
The slope of the line = m = -13
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -13
Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13
Using the point-slope form of the line equation
where
- m is the slope of the line
substituting the values of the slope m = 1/13 and the point (4, 3)
Add 3 to both sides
Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
First find midpoint:
Find slope of line that passes through R and S: slope =
Negative reciprocal of slope to get slope of perpendicular: new slope = 6
Line will be: