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What is the distance between the following points?
y
>
2 3 4 5 6 7 8 9
-2-
.
-4
-5
-6
-7+
-8
-9

What Is The Distance Between The Following Points Y Gt 2 3 4 5 6 7 8 9 2 4 5 6 7 8 9 class=

Sagot :

Point are

  • (2,-3)
  • (8,-9)

Using distance formula

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(8-2)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]

[tex]\\ \sf\longmapsto \sqrt{72}[/tex]

[tex]\\ \sf\longmapsto 8.2units[/tex]

Given Points

  • ⇛ 2 , -3 ( x = 2 and y = -3 )

  • ⇛ 8 , -9 ( x= 8 and y = -9 )

Using Formula

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{ Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \:(y_2 \: - \: y_1)} }}}}}\end{gathered} [/tex]

Substuting the values

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: - \: (- 3) \bigg)^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: + \: 3 \bigg)^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (6 ) ^{2} \: + \:( - 6 )^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (36 ) \: + \:( 36 ) } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{72} [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: 8.485281[/tex]

Approximate distance = 8.4

‌

‌

Hence , the distance between 2 points is

8.4 units

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