Need help ASAP What are the solutions to the system of equations?

{y=−15x^2+4y=−x+4

The pyramid below was dissected by a horizontal plane which shape describes the pyramid horizontal cross section

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36