Questions: Find the distance between the points (-9.2,-12.2) and (17,-12.2). units

Find the distance between the points (-9.2,-12.2) and (17,-12.2). 
 units
Transcript text: Find the distance between the points $(-9.2,-12.2)$ and $(17,-12.2)$. $\square$ units
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Solution

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Solution Steps

Step 1: Identify the Coordinates

We are given two points: \((-9.2, -12.2)\) and \((17, -12.2)\).

Step 2: Use the Distance Formula

The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Step 3: Substitute the Coordinates into the Formula

Substitute the given coordinates into the distance formula:

\[ d = \sqrt{(17 - (-9.2))^2 + (-12.2 - (-12.2))^2} \]

Step 4: Simplify the Expression

Calculate the differences:

\[ d = \sqrt{(17 + 9.2)^2 + (0)^2} \]

\[ d = \sqrt{26.2^2} \]

Step 5: Calculate the Distance

Calculate the square:

\[ d = \sqrt{686.44} \]

Calculate the square root:

\[ d = 26.2 \]

Final Answer

The distance between the points is \(\boxed{26.2}\) units.

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