$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ 3}}\quad ,&{{ 8}})\quad 
% (c,d)
D&({{ 6}}\quad ,&{{ -1}})
\end{array}\qquad 
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{(6-3)^2+(-1-8)^2}\implies CD=\sqrt{3^2+(-9)^2}
\\\\\\
CD=\sqrt{9+81}\implies CD=\sqrt{90}\quad 
\begin{cases}
90=2\cdot 3\cdot 3\cdot 5\\
\qquad 2\cdot 3^2\cdot 5\\
\qquad 10\cdot 3^2
\end{cases}
\\\\\\
CD=\sqrt{10\cdot 3^2}\implies CD=3\sqrt{10}$

3 0

3 years ago

Sandy bought a soft drink for 4 dollars and 9 candy bars. She spent

almond37 [142]

9c + 4 = 49

The numbers by themselves represent the amount of dollars spent (4 and 49), but since you don’t know the amount of money each candy bar cost, you would put the amount of candy bars and a variable next to it to then solve ($5 per bar)

5 0

3 years ago