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Questions: Algebra BusinessCalculus
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Find the distance between the points \(\displaystyle \left( -73, \ 95\right)\) and \(\displaystyle \left( -25, \ 159\right)\).
The distace formula gives \(\displaystyle d=\sqrt{ ((-25)-(-73))^2 + ((159)-(95))^2 }=\sqrt{ 2304 + 4096 }\). Simplifying gives \(\displaystyle d = 80\).
\begin{question}Find the distance between the points $\left( -73, \ 95\right)$ and $\left( -25, \ 159\right)$.
\soln{9cm}{The distace formula gives $d=\sqrt{ ((-25)-(-73))^2 + ((159)-(95))^2 }=\sqrt{ 2304 + 4096 }$. Simplifying gives $d = 80$. }
\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( -73, \ 95\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%20-73%2C%20%5C%20%2095%5Cright%29%20" alt="LaTeX: \displaystyle \left( -73, \ 95\right) " data-equation-content=" \displaystyle \left( -73, \ 95\right) " /> and <img class="equation_image" title=" \displaystyle \left( -25, \ 159\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%20-25%2C%20%5C%20%20159%5Cright%29%20" alt="LaTeX: \displaystyle \left( -25, \ 159\right) " data-equation-content=" \displaystyle \left( -25, \ 159\right) " /> . </p> </p>
<p> <p>The distace formula gives <img class="equation_image" title=" \displaystyle d=\sqrt{ ((-25)-(-73))^2 + ((159)-(95))^2 }=\sqrt{ 2304 + 4096 } " src="/equation_images/%20%5Cdisplaystyle%20d%3D%5Csqrt%7B%20%28%28-25%29-%28-73%29%29%5E2%20%2B%20%28%28159%29-%2895%29%29%5E2%20%7D%3D%5Csqrt%7B%202304%20%2B%204096%20%7D%20" alt="LaTeX: \displaystyle d=\sqrt{ ((-25)-(-73))^2 + ((159)-(95))^2 }=\sqrt{ 2304 + 4096 } " data-equation-content=" \displaystyle d=\sqrt{ ((-25)-(-73))^2 + ((159)-(95))^2 }=\sqrt{ 2304 + 4096 } " /> . Simplifying gives <img class="equation_image" title=" \displaystyle d = 80 " src="/equation_images/%20%5Cdisplaystyle%20d%20%3D%2080%20" alt="LaTeX: \displaystyle d = 80 " data-equation-content=" \displaystyle d = 80 " /> . </p> </p>