AnswersAlgebra IFinding Distance in the Coordinate Plane

Finding Distance in the Coordinate Plane — Quiz Answers

10 verified answers
6

Which expression represents the distance between the points open paren A comma 0 close paren and open paren 0 comma 5 close paren on a coordinate grid?

A
square root of open paren A minus 5 close paren squared end root
B
square root of open paren A minus 25 close paren squared end root
C
square root of A squared plus 25 end root
D
square root of A squared plus 5 end root
7

Which expression represents the distance between point open paren 0 comma A close paren and point open paren A comma 0 close paren on a coordinate grid?

A
square root of 2 A squared end root
B
0
C
square root of A to the 4th power end root
D
square root of 2 A to the 4th power end root
9

Which equation correctly shows how to determine the distance between the points open paren 9 comma negative 2 close paren and open paren 6 comma 3 close paren on a coordinate grid?

A
d is equal to square root of open paren 6 minus 3 close paren squared plus open paren 9 minus negative 2 close paren squared end root
B
d is equal to square root of open paren 6 minus 9 close paren squared plus open paren 3 minus negative 2 close paren squared end root
C
d is equal to square root of open paren 6 plus 9 close paren squared plus open paren 3 plus negative 2 close paren squared end root
D
d is equal to square root of open paren 6 plus 3 close paren squared plus open paren 9 plus negative 2 close paren squared end root
10

In the formula d is equal to square root of open paren x sub 2 minus x sub 1 close paren squared plus open paren y sub 2 minus y sub 1 close paren squared end root , how does each subtraction expression relate to the Pythagorean theorem?

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

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