MEDALS REWARDED!. . Find the exact value of (cos-1) square root of two divided by two.
1 answer:
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Given:
Equation of line .
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
Now, the slope of perpendicular line is and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
<u>Given</u>:
The given equation is
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting on both sides of the equation, we get;
Subtracting both sides of the equation by 2q, we have;
Dividing both sides of the equation by -1, we have;
Now, substituting the value of , we have;
Subtracting the values, we get;
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.