Answered

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What is the distance between (-6,4) and (-8,6)? Choose 1 answer:

A. 2
B.3
C
[tex] \sqrt{4} [/tex]
D
[tex] \sqrt{8} [/tex]
​

Sagot :

xKelvin

Answer:

D

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

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

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

[tex]d=\sqrt{(-8-(-6))^2+(6-4)^2[/tex]

Evaluate:

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

Evaluate:

[tex]d=\sqrt{4+4}=\sqrt{8}[/tex]

Hence, our answer is D.

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