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1.1 Segment Length and Midpoint Find the distance between the two points: (7, 3) and (1, -5). ​

2 Answers

5 votes

Final answer:

The distance between the points (7, 3) and (1, -5) is calculated using the distance formula, which involves subtracting and squaring the coordinates, and then taking the square root of the sum, resulting in a distance of 10 units.

Step-by-step explanation:

To find the distance between two points on the coordinate plane, we can use the distance formula derived from the Pythagorean theorem. The formula is:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

For the points (7, 3) and (1, -5), we can plug these into the formula as follows:

  1. Subtract the x-coordinates: 7 - 1 = 6
  2. Subtract the y-coordinates: 3 - (-5) = 3 + 5 = 8
  3. Square each difference: 6^2 = 36 and 8^2 = 64
  4. Add the squares: 36 + 64 = 100
  5. Take the square root of the sum: \(\sqrt{100}\) = 10

Therefore, the distance between the points (7, 3) and (1, -5) is 10 units.

User StevenR
by
8.2k points
0 votes

Answer:

10

Step-by-step explanation:

→ Find the difference in y - coordinates

-5 - 3 = -8

→ Find the difference in x coordinates

1 - 7 = -6

→ Use Pythagoras' theorem

√6² + 8² = 10

User Akintunde
by
9.1k points

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