Which equation can be used to determine the distance between the origin and (–2, –4)?
a. d = StartRoot ((0 minus 2) + (0 minus 4)) squared EndRoot
b. d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot
c. d = StartRoot ((0 minus 2) minus (0 minus 4)) squared EndRoot
d. d = StartRoot (0 minus (negative 2)) squared minus (0 minus (negative 4)) squared EndRoot

Respuesta :

Answer:

it "B"

Step-by-step explanation:

i took it on edge

The option (B) d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot can be used to determine the distance between the origin and (–2, –4)

Co-ordinates

Co-ordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D )

What are steps to solve this problem?

The steps are as follow:

  • According to distance formula:

[tex]d=\sqrt{(x_{1}-x_{2} )^{2}+(y_{1}-y_{2} )^{2} }[/tex] where d = distance between two coordinates

  • Here we have to distance between origin and (-2, -4)

∴ ([tex]x_{1},y_{1}[/tex]) = (0, 0) and ([tex]x_{2},y_{2}[/tex]) = (-2, -4)

  • Putting this value in distance formula, we get:

[tex]d = \sqrt{(0-(-2))^{2}+(0-(4))^{2} }[/tex]

So the equation will be option (B) d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot

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