Which of the following is not a quadratic equation?

In this equation x² + 3x - 2 = x² - 2x is not a quadratic equation.

Step-by-step explanation:

The equation which contains x² term (In simplified form), then only we can apply quadratic formula.(i.e equation is quadratic)

A. ax² + bx = 0,

Yes , Since x² term is present here ,so we can use quadratic formula.

B. 3x² = -4x - 1

We can simplify this,

i.e  3x² + 4x + 1 = 0

Since x² term is present here ,so we can use quadratic formula.

C. x² = 5

Yes , Since x² term is present here ,so we can use quadratic formula.

D. x² + 3x - 2 = x² - 2x

We can simplify this,

x² - x² + 3x + 2x - 2 = 0

or 5x - 2 = 0

Since x² term is not  here ,so we can not use quadratic formula.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1