Jimmy is standing 3x+1 feet from the base of a flagpole. The height of the flagpole is 4x−2 feet. Find the equation that shows the straight-line distance from Jimmy's feet to the top of the flagpole in terms of x.

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Answer:

f(x)=[tex]\sqrt{25x^2-10x+5[/tex]

Step-by-step explanation:

The distance is the hypotenuse of a right triangle with legs (3x+1) and (4x−2). The length of the hypotenuse is the square root of (3x+1)^2+(4x−2)^2.