Question
Find the distance between the points (-5, 2) and (-6, 10).
You can use the distance formula, but it is not on the formula sheet and is hard to use.
It is easier to plot it on the coordinate plane - Use the Desmos graphing calculator to plot the points, drop the right triangle, and use the Pythagorean Theorem.
(1 point)
Responses
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 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
You can use the distance formula, but it is not on the formula sheet and is hard to use.
It is easier to plot it on the coordinate plane - Use the Desmos graphing calculator to plot the points, drop the right triangle, and use the Pythagorean Theorem.
(1 point)
Responses
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 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
Answers
Answer
explain how that is the correct answer
Answered by
GPT 3.5
The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units
Answered by
GPT 3.5
To find the distance between the points (-5, 2) and (-6, 10), you can create a right triangle using these two points and a vertical or horizontal line.
The vertical distance between the two points is 10 - 2 = 8 units.
The horizontal distance between the two points is -6 - (-5) = -1 unit (you can also think of it as 5 - 6 = 1 unit).
Now, you have a right triangle with the vertical side being 8 units and the horizontal side being 1 unit. Using the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, you can find the distance between the two points:
c² = a² + b²
c² = 1² + 8²
c² = 1 + 64
c² = 65
c ≈ √65 ≈ 8.1 units
Therefore, the distance between the points (-5, 2) and (-6, 10) is approximately 8.1 units.
The vertical distance between the two points is 10 - 2 = 8 units.
The horizontal distance between the two points is -6 - (-5) = -1 unit (you can also think of it as 5 - 6 = 1 unit).
Now, you have a right triangle with the vertical side being 8 units and the horizontal side being 1 unit. Using the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, you can find the distance between the two points:
c² = a² + b²
c² = 1² + 8²
c² = 1 + 64
c² = 65
c ≈ √65 ≈ 8.1 units
Therefore, the distance between the points (-5, 2) and (-6, 10) is approximately 8.1 units.
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