Answer:
option A and C, (-0.7, 0.5) and (0.7, 0.5)
Step-by-step explanation:
The two equations are equal means, the points at which the two graphs meet.
In that case the x and y coordinates satisfy both the graphs.
let the coordinates at the intersection point be (a,b).
Inserting in first equation,
[tex]b = -a^{2} + 1[/tex]
Inserting in second equation,
[tex]b = a^{2}[/tex]
Inserting value of b from second to first equation, we get
[tex]b = -b + 1[/tex]
[tex]b = \frac{1}{2} = 0.5[/tex]
Now inserting the value of b second equation, we get
[tex]\frac{1}{2} = x^{2}[/tex]
[tex]x = \sqrt{\frac{1}{2} } = +\frac{1}{1.414} or -\frac{1}{1.414} = +0.7 or -0.7[/tex]
Thus points are, (-0.7, 0.5) and (0.7, 0.5)
