What is the distance between the following points?

Choose 1 answer:
(A) 7
(B) 9
(c) $\sqrt{65}$
() $\sqrt{80}$

Question

What is the distance between the following points?

Choose 1 answer:
(A) 7
(B) 9
(c) $\sqrt{65}$
() $\sqrt{80}$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$, we use the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. ‖ ‖ step 2 ⋮ Substitute the given points $(-5, -3)$ and $(-6, 4)$ into the distance formula: $d = \sqrt{(-6 - (-5))^2 + (4 - (-3))^2}$. ‖ ‖ step 3 ⋮ Simplify the expression: $d = \sqrt{(1)^2 + (7)^2}$. ‖ ‖ step 4 ⋮ Calculate the squares and sum: $d = \sqrt{1 + 49}$. ‖ ‖ step 5 ⋮ Simplify the square root: $d = \sqrt{50}$. ‖ ‖ step 6 ⋮ Recognize that $\sqrt{50}$ can be simplified to $\sqrt{25 \cdot 2} = 5\sqrt{2}$. ‖ ∻1 Answer∻ ***C*** ∻Key Concept∻ ⚹Distance Formula⚹ ∻Explanation∻ ⚹The distance between two points in a plane is calculated using the distance formula derived from the Pythagorean theorem.⚹◊What formula can be used to calculate the distance between two points on a graph⍭ Generate me a similar question◊

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