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Simora [160]
3 years ago
9

HELP PLEASE!!! 30 POINTS!!!!!

Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

\text{The fomula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)


\text{N(2a, 0), M(0, 2b). Substitute:}\\\\x=\dfrac{2a+0}{2}=\dfrac{2a}{2}=a\\\\y=\dfrac{0+2b}{2}=\dfrac{2b}{2}=b\\\\\boxed{P(a,\ b)}


\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\text{Calculate the distance OP}\ A(0,\ 0);\ P(a,\ b)\\\\|OP|=\sqrt{a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}


\text{Answer}:\ \boxed{d.\ \sqrt{a^2+b^2}}

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