AnswersIntegrated Math II FullFinding Distance in the Coordinate Plane

Finding Distance in the Coordinate Plane Answers

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4

In the formula , how does each subtraction expression relate to the Pythagorean theorem?

Question illustration
A
Each subtraction expression represents the length of one leg of a right triangle with a hypotenuse of length d.
B
Each subtraction expression represents the length of the hypotenuse of a right triangle with a leg of length d.
C
Each subtraction expression represents half the length of the hypotenuse of a right triangle with a hypotenuse of length d.
D
Each subtraction expression represents the square of the length of the hypotenuse of a right triangle with a hypotenuse of length d.
6

What is the length of segment XY?

Question illustration
A
4.5 units
B
units
Option B
C
units
Option C
D
9 units
8

Which expression can be used to determine the length of segment AB?

Question illustration
A
StartRoot 2 squared + 6 squared EndRoot
Option A
B
StartRoot 2 squared minus 6 squared EndRoot
Option B
C
StartRoot 6 squared minus 2 squared EndRoot
Option C
D
StartRoot (2 + 6) squared EndRoot
Option D
9

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

A
StartRoot 2 a squared EndRoot
Option A
B
StartRoot a Superscript 4 Baseline EndRoot
Option B
C
StartRoot 2 a Superscript 4 Baseline EndRoot
Option C
D
0
10

Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).Step 1: Step 2: Step 3: Step 4: Step 5: Therefore, d = 2.Which best describes the accuracy of Tyree’s solution?

Question illustration
A
Tyree’s solution is accurate.
B
Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.
C
Tyree’s solution is inaccurate. In step 2, he simplified incorrectly.
D
Tyree’s solution is inaccurate. In step 3, he added incorrectly.

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