To find the distance between two points in a plane, we can use the distance formula which is derived from the Pythagorean theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2-x1)² + (y2-y1)²]

Here, our points are (-6, -2) and (2, 4). So, x1 = -6, y1 = -2, x2 = 2, and y2 = 4.

Substituting these values into the formula, we get:

d = sqrt[(2 - (-6))² + (4 - (-2))²]
d = sqrt[(8)² + (6)²]
d = sqrt[64 + 36]
d = sqrt[100]
d = 10

So, the distance between the points (-6, -2) and (2, 4) is 10 units.

Question

To find the distance between two points in a plane, we can use the distance formula which is derived from the Pythagorean theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2-x1)² + (y2-y1)²]

Here, our points are (-6, -2) and (2, 4). So, x1 = -6, y1 = -2, x2 = 2, and y2 = 4.

Substituting these values into the formula, we get:

d = sqrt[(2 - (-6))² + (4 - (-2))²]
d = sqrt[(8)² + (6)²]
d = sqrt[64 + 36]
d = sqrt[100]
d = 10

So, the distance between the points (-6, -2) and (2, 4) is 10 units.

Knowee AI · Accepted Answer

To find the distance between two points in a plane, we can use the distance formula which is derived from the Pythagorean theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2-x1)² + (y2-y1)²]

Here, our points are (-6, -2) and (2, 4). So, x1 = -6, y1 = -2, x2 = 2, and y2 = 4.

Substituting these values into the formula, we get:

d = sqrt[(2 - (-6))² + (4 - (-2))²]
d = sqrt[(8)² + (6)²]
d = sqrt[64 + 36]
d = sqrt[100]
d = 10

So, the distance between the points (-6, -2) and (2, 4) is 10 units.

Find the distance between (-6, -2) and (2, 4). Round to the nearest tenth.Group of answer choices4.5 units5.3 units10 units28 units

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Find the distance between (-6, -2) and (2, 4). Round to the nearest tenth.

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