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Sagot :
Answer:
They subtracted the values incorrectly
Step-by-step explanation:
The formula for finding the distance between two points is this:
[tex]\sqrt{} (x_{2} -x_{1})^{2} + (y_{2} -y_{1} )^{2}[/tex]
The person subtracted the variables incorrectly and subtracted x1 from x2 and y1 from y2 instead of the other way around.
To correctly solve it, do this:[tex]\sqrt{((-7-(-1))^2+(-6-2)^2} = \sqrt{(-6)^{2} + (-8)^{2} } = \sqrt{36+64} = \sqrt{100} = 10[/tex]
Hope this helped!
Answer:
10 units
Distance between two points:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where [tex]\sf \bold{ (x_1, y_1) , \ (x_2, y_2) }[/tex]
Here given:
coordinates: (-1, 2), (-7, -6)
[tex]\sf \cdot x_1 =-1[/tex]
[tex]\sf \cdot y_1=2[/tex]
[tex]\sf \cdot x_2 =-7[/tex]
[tex]\sf \cdot y_2 =-6[/tex]
Solve for distance:
[tex]\rightarrow \sf d = \sqrt{(-7 -(-1))^2 + (-6-2)^2}[/tex]
[tex]\rightarrow \sf d = \sqrt{(-6)^2 + (-8)^2}[/tex]
[tex]\rightarrow \sf d = \sqrt{36 + 64}[/tex]
[tex]\rightarrow \sf d = \sqrt{100}[/tex]
[tex]\rightarrow \sf d = 10[/tex]
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