Answer:
To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Using this formula, we can find the distance between the points (2,-2) and (-3,3) as follows:
Distance = √[(-3 - 2)^2 + (3 - (-2))^2]
= √[(-5)^2 + (5)^2]
= √[25 + 25]
= √50
= 5√2
Therefore, the distance between the points (2,-2) and (-3,3) is 5√2 units.
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Explanation:
Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2-y1)^2}[/tex]
so the points are (2,-2) and (-3,3)
so putting in formula:
[tex]\sqrt{(-3-2)^2 + (3-(-2))}[/tex]
= [tex]\sqrt{(-5)^2 + (5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
Which can also be written as
[tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex]
= 5[tex]\sqrt{2}[/tex]
∴ Answer is 5[tex]\sqrt{2}[/tex]
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Answers & Comments
Answer:
To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Using this formula, we can find the distance between the points (2,-2) and (-3,3) as follows:
Distance = √[(-3 - 2)^2 + (3 - (-2))^2]
= √[(-5)^2 + (5)^2]
= √[25 + 25]
= √50
= 5√2
Therefore, the distance between the points (2,-2) and (-3,3) is 5√2 units.
hope it helps you
mark me as brainlist please
Verified answer
Answer:
5[tex]\sqrt{2}[/tex] is the distance
Explanation:
Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2-y1)^2}[/tex]
so the points are (2,-2) and (-3,3)
so putting in formula:
[tex]\sqrt{(-3-2)^2 + (3-(-2))}[/tex]
= [tex]\sqrt{(-5)^2 + (5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
Which can also be written as
[tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex]
= 5[tex]\sqrt{2}[/tex]
∴ Answer is 5[tex]\sqrt{2}[/tex]
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