For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the new equation, find x if the point P(x, 4) lies on the new line. a. y=3x-1 b. y=1/4 x+2

Below in bold letters.

Step-by-step explanation:

a. y = 3x - 1.

The equation of the perpendicular line will have slope -1/ 3.

So we have the equation y - y1 = -1/3(x - x1)  where (x1, y1) is a point on this perpendicular line.

As the line passes through (0,0):

y - 0 = 1/3(x - 0)

y = -1/3x is the required equation.

If  x,4 is on the line then x  is found by substituting for y:

4 = -1/3 x

x = 4 / -1/3

x = 4*-3 = -12.

b. y = 1/4x + 2

By the same method as in part a:

the equation is y = -4x.

x = 4 / -4 = -1.

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

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