Write the equation x+5y-2= 0 in normal form. then, find the length of the normal and the length and the angle makes with the positive x-axis.

Answer with explanation:

≡The given equation of line is :

      x + 5 y -2=0------------(1)

⇒A line having equation, Ax +By +C=0, can be written in normal form as Follows:

⇒Length of Normal

 Let, A=Angle made by line with positive Direction of X axis.

⇒Line, 1 in normal form can be written as:

⇒Length of Normal

⇒Writing equation of line in slope intercept form

⇒Comparing with general slope intercept form of line:

   y = m x +c,

or, y = x tan A +c

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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