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

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (5, 2) and (-3, -5). So, x1 = 5, y1 = 2, x2 = -3, and y2 = -5.

Substitute these values into the distance formula:

d = sqrt[(-3 - 5)² + (-5 - 2)²]
d = sqrt[(-8)² + (-7)²]
d = sqrt[64 + 49]
d = sqrt[113]

So, the distance between the points (5, 2) and (-3, -5) is sqrt[113] in simplest radical form.

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

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (5, 2) and (-3, -5). So, x1 = 5, y1 = 2, x2 = -3, and y2 = -5.

Substitute these values into the distance formula:

d = sqrt[(-3 - 5)² + (-5 - 2)²]
d = sqrt[(-8)² + (-7)²]
d = sqrt[64 + 49]
d = sqrt[113]

So, the distance between the points (5, 2) and (-3, -5) is sqrt[113] in simplest radical form.

Knowee AI · Accepted Answer

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

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (5, 2) and (-3, -5). So, x1 = 5, y1 = 2, x2 = -3, and y2 = -5.

Substitute these values into the distance formula:

d = sqrt[(-3 - 5)² + (-5 - 2)²]
d = sqrt[(-8)² + (-7)²]
d = sqrt[64 + 49]
d = sqrt[113]

So, the distance between the points (5, 2) and (-3, -5) is sqrt[113] in simplest radical form.

Find the distance between the two points in simplest radical form.left bracket, 5, comma, 2, right bracket, and , left bracket, minus, 3, comma, minus, 5, right bracket(5,2) and (−3,−5)

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