_{2 }- X

_{1})

^{2}+ (Y

_{2}- Y

_{1})

^{2}]

_{1}= 8, Y

_{1}= 4, X

_{2}= 5, Y

_{2}= -2

^{2}+ (-2 - 4)

^{2}]

_{ }

^{2}+ (-6)

^{2}]

on a standard coordinate plane, what is the distance between the two points(8,4) (5,-2)

Tutors, sign in to answer this question.

The distance of two points is: d = √[(X_{2 }- X_{1})^{2} + (Y_{2} - Y_{1})^{2}]

So, for your problem, X_{1} = 8, Y_{1} = 4, X_{2} = 5, Y_{2} = -2

Just plug those numbers into the formula:

d = √[(5 - 8)^{2} + (-2 - 4)^{2}]_{
}

d = √[(-3)^{2} + (-6)^{2}]

d = √[9 + 36]

d = √[45]

d = 3√[5]

OR

d = 6.708

Use the distance formula

x_{2} = 8

x_{1} = 5

y_{2} = 4

y_{1} = -2

Sqrt( (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} )

Sqrt( (8 - 5 )^{2} + (4 - (-2))^{2} )

Sqrt( 3^{2} + 6^{2 })

sqrt (9 + 36)

sqrt(45)

sqrt(9) * sqrt(5)

3 sqrt(5) or **3√5**

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Alain F.

Native speaker for French and Master in Science Grad for Math!

$13.75 per 15 min

View Profile >

Mark A.

Improve your English based on your profession, schedule, and needs.

$10 per 15 min

View Profile >

Martha M.

15+ Years Meeting Individual Students' Needs

$12.50 per 15 min

View Profile >