The distance between the points A(-4, -6) and | vedclass

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(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(-

Vedclass · Accepted Answer

$-6$

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(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(-4, -6)$ and $B(6, b)$ with distance $d = 10$.Substituting the values into the formula:$10 = \sqrt{(6 - (-4))^2 + (b - (-6))^2}$$10 = \sqrt{(6 + 4)^2 + (b + 6)^2}$$10 = \sqrt{10^2 + (b + 6)^2}$Squaring both sides:$100 = 100 + (b + 6)^2$$(b + 6)^2 = 100 - 100$$(b + 6)^2 = 0$Taking the square root of both sides:$b + 6 = 0$$b = -6$.

The distance between the points $A(-4, -6)$ and $B(6, b)$ is $10,$ then $b = \dots$

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