Question

What is the distance between the points (7 , 35) and (7 , 21) in the coordinate plane? A. 7 units B. 56 units C. 28 units D. 14 units

Answer 1

14 units

Option D is the correct option.

Explanation:

Let the points be A and B

A ( 7 , 35 ) -----> ( x1 , y1 )

B ( 7 , 21 ) -------> ( x2 , y2 )

Now, finding the distance between these two points:

`\sqrt{(x2 - x1) ^(2) + {(y2 - y1)}^(2) }`

Plug the values

`= \sqrt{(7 - 7) ^(2) + {(21 - 35)}^(2) }`

`= \sqrt{ {0}^(2) + {( - 14)}^(2) }`

0 raised to any positive power equals 0

`= \sqrt{0 + {( - 14)}^(2) }`

When adding or subtracting 0, the quantity doesn't change

`= \sqrt{ {( - 14)}^(2) }`

Reduce the index of the radical and exponent with 2

`= 14 \: units`

Hope this helps...

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