Lime FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through the point (2,0)

First, we know that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for line FG = f(x), we know that it passes through the points (4, 9) and (1, 3)

Then the slope is:

a = (9 - 3)/(4 - 1) = 6/3 = 2

f(x) = 2*x + b

To find the value of b we can use one of the points, i will use the point (1, 3)

this means that when x = 1, f(1) = 3.

Then:

f(1) = 3 = 2*1 + b

      3  = 2 + b

       3 - 2 = b = 1.

The line FG is f(x) = 2*x + 1.

For a general linear equation:

y = a*x + b

The equation for a perpendicular line is:

y = (-1/a)*x + c

We know that:

f(x) = 2*x + 1

The perpendicular line will be something like:

g(x) = (-1/2)*x + c

To find the value of c, we use the fact that this line passes through the point (2, 0), then:

g(2) = 0 = (-1/2)*2 + c

         0 = -1 + c

         1 = c

The line is: g(x) = (-1/2)*x + 1

sorry i need the points

step-by-step explanation:

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answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet