Question

Please help solve this question been stuck for a while​

Answer 1

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:

$\left \{ {{x=1 } \atop {x^2+y^2=16}} \right.$

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

$1^2+y^2=16$

Solving, we get:

$y=\sqrt{15}, y=-\sqrt{15}$

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

Hope this helps :)