ANSWER ASAP!! Find the distance between the points (2, 8) and (-1, 9).

A) Square root of 2

B) 2 square root of 3

C) Square root of 10

Respuesta :

Answer:

C

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (- 1, 9)

d = [tex]\sqrt{(-1-2)^2+(9-8)^2}[/tex] = [tex]\sqrt{(-3)^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex] → C

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the distance formula:

[tex]\sqrt{(x_b - x_a)^2 + (y_a - y_b)^2}[/tex]

Plugging the numbers in:

[tex]\sqrt{(-1-2)^2 + (9 - 8)^2 }[/tex]

Simplify:

[tex]\sqrt{9 + 1}[/tex]

Answer:

[tex]\sqrt{10}[/tex]

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Amanda

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