Mathematics: If (m, 2) is on a circle with center (−3, 2) and radius 8, what is a value of m?

If (m, 2) is on a circle with center (−3, 2) and radius

Ответ:

carleygalloway103

15.01.2022

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -3}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ m}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf \textit{we know the distance from m,2 and -3,2(center) is the radius}
\\\\\\
d=8\implies 8=\sqrt{[m-(-3)]^2+[2-2]^2}
\\\\\\
8=\sqrt{(m+3)^2+(0)^2}\implies 8=\sqrt{(m+3)^2}\implies 8^2=(m+3)^2
\\\\\\
64=(m+3)^2\implies \sqrt{64}=\sqrt{(m+3)^2}\implies 8=m+3
\\\\\\
8-3=m$

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Ответ:

KRLoopy4722

17.06.2020

Mathematics

Abox contains 9 identical glass spheres that are used to make snow globes. a. what is the volume of the box b. what is the total volume in cubic inches, of all 9 spheres with a radius of 2 inches round your answer to the nearest tenth volume of a sphere = 4/3 pi r 3

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If (m, 2) is on a circle with center (−3, 2) and radius 8, what is a value of m?

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