Distance Formula

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Tags

CCSS.HSG.GPE.B.7

A(3,1) B(-2,-1) written correctly is:

• $\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

• $\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

Tags

CCSS.HSG.GPE.B.7

What is the distance between AB

• 0

• 8

• 9

• 7

Tags

CCSS.6.G.A.3

What is the distance between AB?

• 0

• undefined

• 5

• 4

Tags

CCSS.6.G.A.3

How is AB written in the distance formula?

• 
  $d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$
  

• $d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

• $d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

• $d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

Tags

CCSS.HSG.GPE.B.7

Find the distance.

• 9.7
• 10.7
• 11.7
• 12.7

Tags

CCSS.HSG.GPE.B.7

Find the distance between (-3, -11) and (8, -42).

• 32.1
• 32.3
• 32.7
• 32.9

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

AB = 5 on the coordinate plane shown. If B(2,1), which point could NOT be another location of A?

• (-1,5)

• (6,4)

• (-2,-2)

• (4,-3)

• (-3,1)

Tags

CCSS.8.G.B.8

Find the direct distance between the court house and the town hall.

• 26
• 6.8
• 10
• 7.2 km

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

The distance formula is another way to write which of the following?

• quadratic formula

• slope formula

• Pythagorean theorem

• none of these answers

Tags

CCSS.HSG.GPE.B.7