Question

Find the distance between A (4, 6) and B (9, 7). Write your answer as a radical and as a decimal rounded to the nearest

Answer 1

The distance between A (4, 6) and B (9, 7) is √26 or 5.1.

How to find the distance between two points?

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$

So the distance between A (4, 6) and B (9, 7) will be

$d = \sqrt {\left( {4 - 9 } \right)^2 + \left( {6 - 7 } \right)^2 }$

d = √26 = 5.099

Rounded to nearest tenth ⇒ 5.1 units.

Hence "The distance between A (4, 6) and B (9, 7) is √26 or 5.1".

To learn more about the distance between two points,

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Answer 2

Answer: the distance between the two points is √26 or about 5.1

Step-by-step explanation:

A(4,6)   B(9,7)

$\boxed {L_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} }\\\\L_{AB}=\sqrt{(9-4)^2+(7-6)^2} \\\\L{ab}=\sqrt{5^2+1^2}\\\\ L_{AB}=\sqrt{25+1} \\\\L_{AB}=\sqrt{26} \\\\L_{AB}\approx5.1$