Mathematics: Find the distance between each pair of points (-5,6) (8,-4)

Find the distance between each pair of points (-5,6)

Ответ:

jon3232

14.01.2022

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -5}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ -4}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[8-(-5)]^2+[-4-6]^2}\implies d=\sqrt{(8+5)^2+(-4-6)^2}
\\\\\\
d=\sqrt{13^2+(-10)^2}\implies d=\sqrt{169+100}\implies d=\sqrt{269}$

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Ответ:

andydiaz1227

17.08.2022

Mathematics

3/5 = sin(b)

Step-by-step explanation:

Equation

Tan(b) = sin(b)/cos(b) Multiply both sides by cos(b)

cos(b)*tan(b) = cos(b)sin(b)/cos(b) Simplifiy

cos(b)*tan(b) = sin(b)

Givens

Tan(b) = 3/4

Cos(b) = 4/5

Solution

4/5 * 3/4 = sin(b)

12/20 = sin(b)

3/5 = sin(b)

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Find the distance between each pair of points (-5,6) (8,-4)

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