The system of equations is given to be:
[tex]\begin{gathered} x^2+y=7^{} \\ x^2+y^2=49 \end{gathered}[/tex]The first equation is a quadratic equation in the form:
[tex]y=-x^2+7[/tex]The coefficient of x² is negative. Therefore, the graph opens downwards.
The second equation is a circle in the form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Comparing the equation we have, we know that the circle has a radius of:
[tex]\begin{gathered} r=\sqrt[]{49} \\ r=7 \end{gathered}[/tex]Using a graphing tool, we can draw the graph to confirm the answer. This is shown below:
Hence, the SECOND OPTION is correct.
