Question

Math

Posted 3 months ago

```
What is the distance between the following points?
Choose 1 answer:
(A) 7
(B) 9
(c) $\sqrt{65}$
() $\sqrt{80}$
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

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.

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