SOLUTION: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
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-> SOLUTION: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
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Question 43200: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
c. d(x) = sqrt(2x2 + 1)
d. d(x) = sqrt(2) x + 1
e. None of the others Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! The point (x, y) can be expressed as (x, x + 1) since y = x + 1 along that line.
The distance between (0, 0) and (x, x + 1) is
d = sqrt[(x - 0)^2 + ((x+1) - 0)^2]
d = sqrt[x^2 + x^2 + 2x + 1]
d = sqrt[2x^2 + 2x + 1]
Choice A.
