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 (13, -7) and (4, 33). So, x1 = 13, y1 = -7, x2 = 4, and y2 = 33.

Substituting these values into the formula, we get:

d = sqrt[(4-13)² + (33-(-7))²]
d = sqrt[(-9)² + (40)²]
d = sqrt[81 + 1600]
d = sqrt[1681]

Therefore, the distance between the points (13, -7) and (4, 33) is sqrt[1681] = 41 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 (13, -7) and (4, 33). So, x1 = 13, y1 = -7, x2 = 4, and y2 = 33.

Substituting these values into the formula, we get:

d = sqrt[(4-13)² + (33-(-7))²]
d = sqrt[(-9)² + (40)²]
d = sqrt[81 + 1600]
d = sqrt[1681]

Therefore, the distance between the points (13, -7) and (4, 33) is sqrt[1681] = 41 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 (13, -7) and (4, 33). So, x1 = 13, y1 = -7, x2 = 4, and y2 = 33.

Substituting these values into the formula, we get:

d = sqrt[(4-13)² + (33-(-7))²]
d = sqrt[(-9)² + (40)²]
d = sqrt[81 + 1600]
d = sqrt[1681]

Therefore, the distance between the points (13, -7) and (4, 33) is sqrt[1681] = 41 units.

What is the distance between the two points (13, -7) and (4, 33)?

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