Question

(Pythagorean Theorem and the Coordinate Plane MC)

A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.

coordinate plane with points at negative 14 comma 1 labeled Woozy Wheel, negative 6 comma 2 labeled Bumper Boats, negative 2 comma negative 4 labeled Roller Rail, negative 2 comma negative 6 labeled Trolley Train, 2 comma negative 3 labeled Silly Slide, and 6 comma 11 labeled Parachute Plunge

Determine the distance between the Woozy Wheel and the Roller Rail.

119 units
11 units
169 units
13 units

Answer 1

Answer: 13

Explanation:

To solve this you don't need the Pythagorean Theorem

Woozy Wheel is at (-14,1)

Roller Rail is at (-2,-4)

Ignore all other points.

sqr[ ] means all text in the bracket is square rooted

Basically change in y+ change in x

distance is the sqr[(-2 - -14)^2 + (-4 - 1)^2]

then simplify into sqr[(12)^2+(-5)^2]

simplify into sqr[169]

simplify into 13.

Answer 2

(d) 13 units

Explanation:

You want to know the distance between the points at coordinates (-14, 1) labeled Woozy Wheel, and (-2, -4) labeled Roller Rail.

Distance

The distance between the points is given by the formula ...

d = √((x2 -x1)² +(y2 -y1)²)

d = √((-2 -(-14))² +(-4 -1)²) = √(144 +25) = √169

d = 13 . . . . . units

The distance between the Woozy Wheel and the Roller Rail is 13 units, choice D.

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Additional comment

A graphing or scientific calculator often has functions that can be used to find the straight-line distance between two points. Two such methods are shown in the attachment.

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