Use a graphing utility to approximate the solution(s) to the system of equations. Round the coordinates to 3 decimal places.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 35 \
y = - x ^ { 2 } + 7.6
\end{array}$$

A) $\{ ( 1.357 , - 5.758 \} , \{ 3.515,4.758 \} )$

B) $\{ ( 1.357,5.758 \} , \{ - 1.357,5.758 \} , \{ 3.515 , - 4.758 \} , \{ - 3.515 , - 4.758 \} )$

C) $\{ ( 1.357,5.758 \} , \{ 3.515 , - 4.758 \} )$

D) $\{ ( 1.357,5.758 \} , \{ 1.357 , - 5.758 \} , \{ 3.515 , - 4.758 \} , \{ 3.515,4.758 \} )$

Question

Use a graphing utility to approximate the solution(s) to the system of equations. Round the coordinates to 3 decimal places.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 35 \
y = - x ^ { 2 } + 7.6
\end{array}$$

A) $\{ ( 1.357 , - 5.758 \} , \{ 3.515,4.758 \} )$

B) $\{ ( 1.357,5.758 \} , \{ - 1.357,5.758 \} , \{ 3.515 , - 4.758 \} , \{ - 3.515 , - 4.758 \} )$

C) $\{ ( 1.357,5.758 \} , \{ 3.515 , - 4.758 \} )$

D) $\{ ( 1.357,5.758 \} , \{ 1.357 , - 5.758 \} , \{ 3.515 , - 4.758 \} , \{ 3.515,4.758 \} )$

Quizplus · Accepted Answer

The system of equations represents a circle $x^2 + y^2 = 35$ and a parabola $y = -x^2 + 7.6$. The solutions to the system are the points where these two curves intersect. Given the symmetry of the circle and the parabola, for every positive x-value solution, there is a corresponding negative x-value solution with the same y-value. Thus, the correct answer must include pairs of points that are symmetric with respect to the y-axis. Option B provides such symmetric pairs, indicating it is the correct choice.

Use a Graphing Utility to Approximate the Solution(s) to the System