Y = x and y =x^2 - 2
1 answer:
Answer:
(-1, -1) and (2, 2)
Step-by-step explanation:
Substitute for y in the first equation and solve the quadratic.
x = x^2 -2
x^2 -x -2 = 0 . . . . subtract x
(x -2)(x +1) = 0 . . . .factor
Solutions are the values of x that make these factors be zero:
x = 2, x = -1
Since y=x, the solutions are ...
(x, y) = (-1, -1) and (2, 2)
You might be interested in
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
