Question

Ated at (-6, 2) and a movie theater is located at (-6, -15). What is the distance

Answer 1

The answer is:

17 units

Hope this helps! :) have a beautifull day

Answer 2

The formula for distance between two points is:

`\sqrt{(x_(2) -x_(1))^(2) + (y_(2) -y_(1))^(2)}`

In this case:

`x_(2) =-6\\x_(1) =-6\\y_(2) =-15\\y_(1) =2`

^^^Plug these numbers into the formula for distance like so...

`\sqrt{(-6 -(-6))^(2) + (-15-2)^(2)}`

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF A STEP IS NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS

First we have parentheses. Remember that when solving you must go from left to right

`\sqrt{(-6 -(-6))^(2) + (-15-2)^(2)}`

-6 - (-6) = 0

`\sqrt{(0)^(2) + (-15-2)^(2)}`

-15 - 2 = -17

`\sqrt{(0)^(2) + (-17)^(2)}`

Next solve the exponent. Again, you must do this from left to right

`\sqrt{(0)^(2) + (-17)^(2)}`

0² = 0

`\sqrt{0 + (-17)^(2)}`

(-17)² = 289

`√((0 + 289))`

Now for the addition

`√((0 + 289))`

0 + 289 = 289

Now you must further simplify the square root

`√((289))` = 17

The distance is 17 units

Hope this helped!

~Just a girl in love with Shawn Mendes