Find the distance between the points (-5,-10) and (-2,-6). Write your answer as a whole number or a fully simplified radical expression. Do not ro units

Identify Coordinates and Apply Formula: Identify the coordinates of the two points and apply the distance formula. The distance formula is sqrt((x_2-x_1)^2 + (y_2-y_1)^2)). We have (x_1 , y_1) = (-5 , -10) and (x_2 , y_2) = (-2 , -6). Distance: sqrt((-2-(-5))^2 + (-6-(-10))^2)Calculate X-coordinate Difference: Calculate the difference in the x-coordinates and square it. What is (-2-(-5))^2? (-2-(-5))^2 = (-2+5)^2 = (3)^2 = 9Calculate Y-coordinate Difference: Calculate the difference in the y-coordinates and square it. What is (-6-(-10))^2? (-6-(-10))^2 = (-6+10)^2 = (4)^2 = 16Add Squares and Find Distance: Add the squares of the differences and take the square root to find the distance. What is sqrt(9 + 16)? sqrt(9 + 16) = sqrt(25) = 5

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Find the distance between the points
(-5,-10) and
(-2,-6).
Write your answer as a whole number or a fully simplified radical expression. Do not ro units

$\newline$ Find the distance between the points $(-5,-10)$ and $(-2,-6)$ . $\newline$ Write your answer as a whole number or a fully simplified radical expression. Do not ro units $\newline$

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Math Problems

Algebra 1

Distance between two points

Full solution

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Find the distance between the points

(-5,-10)

and

(-2,-6)

\newline

Write your answer as a whole number or a fully simplified radical expression. Do not ro units

\newline

Identify Coordinates and Apply Formula: Identify the coordinates of the two points and apply the distance formula. $\newline$ The distance formula is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We have $(x_1 , y_1) = (-5 , -10)$ and $(x_2 , y_2) = (-2 , -6)$ . $\newline$ Distance: $\sqrt{(-2-(-5))^2 + (-6-(-10))^2}$
Calculate X-coordinate Difference: Calculate the difference in the x-coordinates and square it. $\newline$ What is $(-2-(-5))^2$ ? $\newline$ $(-2-(-5))^2$ $\newline$ $= (-2+5)^2$ $\newline$ $= (3)^2$ $\newline$ $= $9$
Calculate Y-coordinate Difference: Calculate the difference in the y-coordinates and square it.$\newline$What is $(-6-(-10))^2$?$\newline$$(-6-(-10))^2$$\newline$$= (-6+10)^2$$\newline$$= (4)^2$$\newline$$= 16$
Add Squares and Find Distance: Add the squares of the differences and take the square root to find the distance.$\newline$What is $\sqrt{9 + 16}$?$\newline$$\sqrt{9 + 16}$$\newline$= $\sqrt{25}$$\newline$= $5$