Answer:
The coordinate plane with two parallel lines shows a system of equations with no solution.
Step-by-step explanation:
Two intersecting lines on the coordinate plane have a definite solution.
Two coinciding lines on the coordinate plane have infinitely many solutions as they intersect at infinitely many points.
And, two parallel lines on the coordinate plane has no solution as they never intersect with each other.
Therefore, the coordinate plane with two parallel lines shows a system of equations with no solution. (Answer)
x⁴ + 4x³ + 4x² = -16x
x⁴ + 4x³ + 4x² + 16x = -16x + 16x
x⁴ + 4x³ + 4x² + 16x = 0
x(x³) + x(4x²) + x(4x) + x(16) = 0
x(x³ + 4x² + 4x + 16) = 0
x(x²(x) + x²(4) + 4(x) + 4(4)) = 0
x(x²(x + 4) + 4(x + 4)) = 0
x(x² + 4)(x + 4) = 0
x = 0 U x² + 4 = 0 U x + 4 = 0
<u> - 4 - 4</u> <u> - 4 - 4</u>
x² = -4 x = -4
x = <u>+</u>2i
The solution set is equal to {-4, -2i, 0, 2i}.
The number -8 is an integer whether it’s positive or negative. It’s an integer because an integer can be divided by 2 numbers. So in this case, Carlos is right
100 is 105 rounded to the nearest hundred hope it helped