Find the distance between the points (-5, 2) and (-6, 10).

Question

You can use the distance formula, but it is not on the formula sheet and is hard to use.and use the Pythagorean Theorem.

Answer 1

We can use the Pythagorean Theorem to find the distance between the two points.

Let's label the points as follows:
Point A: (-5, 2)
Point B: (-6, 10)

The vertical distance between the two points can be found by taking the difference in the y-coordinates:
10 - 2 = 8

The horizontal distance between the two points can be found by taking the difference in the x-coordinates:
-6 - (-5) = -6 + 5 = 1

Now, we can use the Pythagorean Theorem to find the distance between the two points:
Distance = √((vertical distance)^2 + (horizontal distance)^2)
Distance = √(8^2 + 1^2)
Distance = √(64 + 1)
Distance = √65

So, the distance between the points (-5, 2) and (-6, 10) is √65.

Answer 2

The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units
The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units

The vertical distance is 11 and the horizontal distance is 12; answer approximately 16.3 units
The vertical distance is 11 and the horizontal distance is 12; answer approximately 16.3 units

The vertical distance is 1 and the horizontal distance is 8; answer approximately 8.1 units
The vertical distance is 1 and the horizontal distance is 8; answer approximately 8.1 units

The vertical distance is 12 and the horizontal distance is 11; answer approximately 16.3 units

these are the answer choices

Answer 3

In the scenario given, the vertical distance is 8 and the horizontal distance is 1 which means we are dealing with the first set of points (-5, 2) and (-6, 10). The correct answer in this case is approximately 8.1 units.