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Find the distance between the points $(3,4)$ and $(10,4)$ . $\newline$ ____ units

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Find the magnitude of a three-dimensional vector

Full solution

Q. Find the distance between the points

(3,4)

and

(10,4)

.

\newline

____ units

Calculate Coordinates Difference: Calculate the difference in $x$ -coordinates and $y$ -coordinates between the two points. $\newline$ $x_2 - x_1 = 10 - 3 = 7$ $\newline$ $y_2 - y_1 = 4 - 4 = 0$
Use Distance Formula: Use the distance formula: $\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ $\text{Distance} = \sqrt{(7)^2 + (0)^2}$ $\newline$ $\text{Distance} = \sqrt{49 + 0}$ $\newline$ $\text{Distance} = \sqrt{49}$ $\newline$ $\text{Distance} = 7$

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