Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid? StartRoot a squared + 5 EndRoot StartRoot a squared + 25 EndRoot StartRoot (a minus 25) squared EndRoot StartRoot (a minus 5) squared EndRoot

Respuesta :

Answer:Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid? StartRoot a squared + 5 EndRoot StartRoot a squared + 25 EndRoot StartRoot (a minus 25) squared EndRoot StartRoot (a minus 5) squared EndRoot

Step-by-step explanation:

0, 5) on a coordinate grid? StartRoot a squared + 5 EndRoot StartRoot a squared + 25 EndRoot StartRoot (a minus 25) squared EndRoot StartRoot (a minus 5) squared EndRoot

The distance between the two points is given by:

[tex]d = \sqrt{a^2 + 25}[/tex]

Which expression represents the distance between the points?

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

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

Then for the given points, that are (a, 0) and (0, 5) the distance is given by:

[tex]d = \sqrt{(0 - a)^2 + (5 - 0)^2} \\\\d = \sqrt{a^2 + 25}[/tex]

Then the correct option is the second one, the square root of the sum between a squared and 25.

If you want to learn about distance between points:

https://brainly.com/question/7243416

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