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, P(-5,-2) is (x1, y1) and Q(-2,2) is (x2, y2).

So,

d = sqrt[(-2 - (-5))² + (2 - (-2))²]
d = sqrt[(3)² + (4)²]
d = sqrt[9 + 16]
d = sqrt[25]
d = 5

So, the distance between P(-5,-2) and Q(-2,2) is 5 units.

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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, P(-5,-2) is (x1, y1) and Q(-2,2) is (x2, y2).

So,

d = sqrt[(-2 - (-5))² + (2 - (-2))²]
d = sqrt[(3)² + (4)²]
d = sqrt[9 + 16]
d = sqrt[25]
d = 5

So, the distance between P(-5,-2) and Q(-2,2) is 5 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, P(-5,-2) is (x1, y1) and Q(-2,2) is (x2, y2).

So,

d = sqrt[(-2 - (-5))² + (2 - (-2))²]
d = sqrt[(3)² + (4)²]
d = sqrt[9 + 16]
d = sqrt[25]
d = 5

So, the distance between P(-5,-2) and Q(-2,2) is 5 units.

The distance between 𝑃(−5,−2)P(−5,−2) and 𝑄(−2,2)Q(−2,2) is _________

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