dzr96
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What type of lines are  4x + 8y = 10 and  4x - 2y = 21 ?

Sagot :

Lilith
[tex]4x + 8y = 10\\ 4x - 2y = 21 \\ \\ 8y =-4x+10 \ \ /:8 \\ -2y=-4x+21\ \ / : (-2)\\ \\y =-\frac{4}{8}x+\frac{10}{8}\\y=2x-\frac{21}{2}[/tex]

[tex]y =-\frac{1}{2}x+\frac{5}{4}\\y=2x-10.5\\\\ a_{1}\cdot a_{2}=-1\\m_{1}=-\frac{1}{2}, \ \ m_{2}=2 \\ m _{1}*m _{2} = -1 \ it \ perpendicular \ lines \ we \ have \\\\ m _{1}*m _{2} = -1\\\\-\frac{1}{2}\cdot 2 = -1\\-1=-1 \\ \\L=R [/tex]

kate200468
[tex]k:\ \ \ 4x + 8y = 10\ \ \ \Rightarrow\ \ \ 8y=-4x+10\ \ \ \Rightarrow\ \ \ y=- \frac{1}{2}x+1 \frac{1}{4}\\\\ \Rightarrow\ \ \ m_ 1=- \frac{1}{2} \\\\l:\ \ \ 4x - 2y = 21\ \ \ \Rightarrow\ \ \ -2y=-4x+21\ \ \ \Rightarrow\ \ \ y=2x-10 \frac{1}{2} \\\\\Rightarrow\ \ \ m_2=2\\\\m_1\cdot m_2=(- \frac{1}{2} )\cdot2=-1\ \ \ \Rightarrow\ \ \ k\ \perp\ l\\\\Ans.\ The\ lines\ are\ perpendicular.[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.