\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Find the distance between the points \(\displaystyle \left( 26, \ -3\right)\) and \(\displaystyle \left( 213, \ 81\right)\).
The distace formula gives \(\displaystyle d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 }\). Simplifying gives \(\displaystyle d = 205\).
\begin{question}Find the distance between the points $\left( 26, \ -3\right)$ and $\left( 213, \ 81\right)$.
\soln{9cm}{The distace formula gives $d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 }$. Simplifying gives $d = 205$. }
\end{question}
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}
\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}
\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}
\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue
\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( 26, \ -3\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%2026%2C%20%5C%20%20-3%5Cright%29%20" alt="LaTeX: \displaystyle \left( 26, \ -3\right) " data-equation-content=" \displaystyle \left( 26, \ -3\right) " /> and <img class="equation_image" title=" \displaystyle \left( 213, \ 81\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28%20213%2C%20%5C%20%2081%5Cright%29%20" alt="LaTeX: \displaystyle \left( 213, \ 81\right) " data-equation-content=" \displaystyle \left( 213, \ 81\right) " /> . </p> </p>
<p> <p>The distace formula gives <img class="equation_image" title=" \displaystyle d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 } " src="/equation_images/%20%5Cdisplaystyle%20d%3D%5Csqrt%7B%20%28%28213%29-%2826%29%29%5E2%20%2B%20%28%2881%29-%28-3%29%29%5E2%20%7D%3D%5Csqrt%7B%2034969%20%2B%207056%20%7D%20" alt="LaTeX: \displaystyle d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 } " data-equation-content=" \displaystyle d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 } " /> . Simplifying gives <img class="equation_image" title=" \displaystyle d = 205 " src="/equation_images/%20%5Cdisplaystyle%20d%20%3D%20205%20" alt="LaTeX: \displaystyle d = 205 " data-equation-content=" \displaystyle d = 205 " /> . </p> </p>