The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
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As this is a relatively complex division, it is worth doing this on the calculator.
2/346= 0.00578034682
Rounded to 4 decimal places, this is 0.0058
Hope this helps :)
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Answer:</h2>
Step 1: Determine <u><em>b</em></u> by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.
Step 2: Now that we have <u><em>b</em></u>, we can determine the equation of the line.
I didn't use <em>+ (-1)</em> because <em>b</em> is negative. Therefore you need to change the equation from <em>y = 1/6x + (-1)</em> to <em>y = 1/6x - 1</em>.
The line that passes through points (-2,1) and (3,-1) is a negative slope
Answer:
166320 ways
Step-by-step explanation:
In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:
Number of ways you can choose 3 vegetables out of 9 available:
nCr = n! / (r! * (n-r)!)
in this case n = 9, r = 3, replacing:
9C3 = 9! / (3! * (9-3)!) = 84
Number of ways you can choose 2 fruits out of 9 available:
9C2 = 9! / (2! * (9-2)!) = 36
Number of ways you can choose 2 whole grains out of 11 available:
11C2 = 11! / (2! * (11-2)!) = 55
So according to the rule of the products how many ways you can choose the daily diet
84*36*55 = 166320
