summer8917
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

please help solve this question been stuck for a while​

Please Help Solve This Question Been Stuck For A While class=

Sagot :

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

[tex]\left \{ {{x=1 } \atop {x^2+y^2=16}} \right.[/tex]

To solve, substitute 1 for x in the second equation to get:

[tex]1^2+y^2=16[/tex]

Solving, we get:

[tex]y=\sqrt{15}, y=-\sqrt{15}[/tex]

Therefore, the two points of intersection are [tex](1,\sqrt{15} )[/tex] and [tex](1,-\sqrt{15})[/tex]. The distance between these two points (the length of the chord in the circle) is [tex]2\sqrt{15}[/tex] which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.