Question

Find the distance between the points (1, 5) and (1, -4).

Answer 1

9

Explanation:

`\tt distance=√((1-1)^2+(-4-5)^2)=\sqrt{0^2+9^(2)}=√(9^2) =9`

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) =1\\x_(1) =1\\y_(2) =-4\\y_(1) =5`

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

`\sqrt{(1-1)^(2) + (-4-5)^(2)}`

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

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

`\sqrt{(1-1)^(2) + (-4-5)^(2)}`

1 - 1 = 0

`\sqrt{(0)^(2) + (-4-5)^(2)}`

-4 - 5 = -9

`\sqrt{(0)^(2) + (-9)^(2)}`

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

`\sqrt{(0)^(2) + (-9)^(2)}`

0² = 0

`\sqrt{0 + (-9)^(2)}`

(-9)² = 81

`√((0 + 81))`

Now for the addition

`√((0 + 81))`

81 + 0 = 81

√81

^^^This can be further simplified to...

9

***Remember that the above answers are in terms of units

Hope this helped!

~Just a girl in love with Shawn Mendes