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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25 years after 1998 would be the year 2023
Answer:
Step-by-step explanation:
As the angles are supplementary, they sum up to 180
Hence, 3x+40+80=180
3x+120=180
3x=60
x=20
11 because 30 - 6.5 equals 23.5 and if she can use all 23.5$ on tomato’s you divide by 2 and it equals 11.75. But she can’t go over 30 so you round it down to 11 pounds