Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
The distance between two points is given by
d = [tex]\sqrt{ ( x2 - x1) ^2 - ( y2-y1)^2}[/tex] where ( x1,y1) and ( x2,y2) are the two points
d = [tex]\sqrt{( 0 - -5) ^2 + (4 - 2) ^2}[/tex]
d = [tex]\sqrt{5^2 + 2^2}[/tex]
d = [tex]\sqrt{25 +4}[/tex]
d = [tex]\sqrt{29}[/tex]
Answer: [tex]\Large\boxed{Distance=\sqrt{29} }[/tex]
Step-by-step explanation:
Given information
[tex](x_1,~y_1)=(-5,~2)[/tex]
[tex](x_2,~y_2)=(0,~4)[/tex]
Given the distance formula
[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance =\sqrt{((0)-(-5))^2+((4)-(2))^2}[/tex]
Simplify values in the parenthesis
[tex]Distance =\sqrt{(0+5)^2+(4-2)^2}[/tex]
[tex]Distance =\sqrt{(5)^2+(2)^2}[/tex]
Simplify the exponents
[tex]Distance =\sqrt{25+4}[/tex]
Simplify values in the radical sign
[tex]\Large\boxed{Distance =\sqrt{29}\approx5.4}[/tex]
Hope this helps!! :)
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