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Questions: Algebra BusinessCalculus
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Find the distance between the points \(\displaystyle \left( -59, \ 30\right)\) and \(\displaystyle \left( 21, \ 48\right)\).
The distace formula gives \(\displaystyle d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 }\). Simplifying gives \(\displaystyle d = 82\).
\begin{question}Find the distance between the points $\left( -59, \ 30\right)$ and $\left( 21, \ 48\right)$.
\soln{9cm}{The distace formula gives $d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 }$. Simplifying gives $d = 82$. }
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Find the distance between the points <img class="equation_image" title=" \displaystyle \left( -59, \ 30\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%20-59%2C%20%5C%20%2030%5Cright%29%20" alt="LaTeX: \displaystyle \left( -59, \ 30\right) " data-equation-content=" \displaystyle \left( -59, \ 30\right) " /> and <img class="equation_image" title=" \displaystyle \left( 21, \ 48\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%2021%2C%20%5C%20%2048%5Cright%29%20" alt="LaTeX: \displaystyle \left( 21, \ 48\right) " data-equation-content=" \displaystyle \left( 21, \ 48\right) " /> . </p> </p>
<p> <p>The distace formula gives <img class="equation_image" title=" \displaystyle d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 } " src="/equation_images/%20%5Cdisplaystyle%20d%3D%5Csqrt%7B%20%28%2821%29-%28-59%29%29%5E2%20%2B%20%28%2848%29-%2830%29%29%5E2%20%7D%3D%5Csqrt%7B%206400%20%2B%20324%20%7D%20" alt="LaTeX: \displaystyle d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 } " data-equation-content=" \displaystyle d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 } " /> . Simplifying gives <img class="equation_image" title=" \displaystyle d = 82 " src="/equation_images/%20%5Cdisplaystyle%20d%20%3D%2082%20" alt="LaTeX: \displaystyle d = 82 " data-equation-content=" \displaystyle d = 82 " /> . </p> </p>