Let p=(x, y) be a point on the graph of y= 1/x. express the distanced from p to the point x (2,0) as a function of x. what is d if x=2?

D = SQRT (x^4 + 17x^2 + 64)    This is the distance as a function of x

Step-by-step explanation:

This problem uses the Pythagorean Theorem to determine the length of a hypotenuse of a right triangle.

The base of the triangle goes x distance along the x-axis, then y distance up to the point in question.  What is the distance (the hypotenuse of that triangle) as a function of x?

D = SQRT (x^2 + y^2)

D = SQRT (x^2 + (x^2+8)^2)         (substitute for y)

D = SQRT (x^2 + x^4 + 16x^2 + 64)        (expand using FOIL)

D = SQRT (x^4 + 17x^2 + 64)                (revise order, collect terms)

   This is the distance as a function of x

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: