To find the distance between two points in a plane, we can use the distance formula 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, 3) and (-1, -21). So, x1 = 6, y1 = 3, x2 = -1, and y2 = -21.

Substituting these values into the formula, we get:

d = sqrt[(-1-6)² + (-21-3)²]
d = sqrt[(-7)² + (-24)²]
d = sqrt[49 + 576]
d = sqrt[625]

Therefore, the distance between the points (6, 3) and (-1, -21) is sqrt[625] = 25 units.

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To find the distance between two points in a plane, we can use the distance formula 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, 3) and (-1, -21). So, x1 = 6, y1 = 3, x2 = -1, and y2 = -21.

Substituting these values into the formula, we get:

d = sqrt[(-1-6)² + (-21-3)²]
d = sqrt[(-7)² + (-24)²]
d = sqrt[49 + 576]
d = sqrt[625]

Therefore, the distance between the points (6, 3) and (-1, -21) is sqrt[625] = 25 units.

Knowee AI · Accepted Answer

To find the distance between two points in a plane, we can use the distance formula 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, 3) and (-1, -21). So, x1 = 6, y1 = 3, x2 = -1, and y2 = -21.

Substituting these values into the formula, we get:

d = sqrt[(-1-6)² + (-21-3)²]
d = sqrt[(-7)² + (-24)²]
d = sqrt[49 + 576]
d = sqrt[625]

Therefore, the distance between the points (6, 3) and (-1, -21) is sqrt[625] = 25 units.

What is the distance between the two points (6, 3) and (-1, -21)?

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