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Answer:
point lies on circle
Step-by-step explanation:
Substitute the coordinates of the point into the left side of the equation and if equal to the right side then point lies on circle.
(4 - 1)² + (2 + 2)² = 3² + 4² = 9 + 16 = 25 = right side
Then point (4, 2 ) lies on the circle
3x+2y=8
5x-2y=8
1) Cross out the 2ys and add the rest of the equations together.
2) 8x=16
3) 16/8=2 Therefore, x=2
4) Add 2 into one of the equations (either one)
5)3(2)+ 2y=8
6) 6+2y= 8
7) Subtractionnnnn 8-6=2
8) 2y=2
9) 2/2= 1
10) y=1 x=2 (2,1)
When x=0,
y=-(0-2)^3-5
y=3
When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002
To find the turning point at y, substitute the information that you have found above.
y=-(3.70997-2)^3-5
y=-9.99994
Find the mid-point next as mid-point is also the turning point.
(3.70997+0.29002)÷2=1.999995
Hence, Turning point is (1.999995, 9.99994)
Plot a graph using turning point, y value and the 2-x values.