Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

find the perpendicular distance between (2,5) and the line 2x - y + 7 = 0 in a surd form with a rational denominator

Sagot :

[tex]The\ distance\ between\ P(x_P;\ y_P)\ and\ the\ line\ Ax+By+C=0:\\\\d=\frac{|Ax_P+By_P+C|}{\sqrt{A^2+B^2}}\\===================================\\P(2;\ 5);\ 2x-y+7=0\\\\x_P=2;\ y_P=5;\ A=2;\ B=-1;\ C=7\\\\d=\frac{|2\times2-1\times5+7|}{\sqrt{2^2+(-1)^2}}=\frac{|4-5+7|}{\sqrt{4+1}}=\frac{|6|}{\sqrt5}\cdot\frac{\sqrt5}{\sqrt5}=\frac{6\sqrt5}{5}[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.