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2 years ago

Solve the following system of equations. Show all work and solutions.

Mathematics

1 answer:

Hitman42 [59]2 years ago

4 0

y=2x²+6x+1
y=-4x²+1

Make the equations equal and solve for x

2x²+6x+1=-4x²+1
6x²+6x=0
6x(x+1)=0
6x=0 or x+1=0
x=0 or x=-1

For x=0

y=-4(0)+1=1

For x=-1

y=-4(1)+1=-3

The solutions are

(0,1) and (-1,-3)

Graph attached

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Step-by-step explanation:

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$V=\frac{s^2h}{3}$

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Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

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