what are the four different ways to solve a quadratic equation? When would you prefer to use each method?

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

Step-by-step explanation:

There are four methods of solving quadratic equation:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

1. Factorization method: Use factorization method when the quadratic equation can easily be factorize.

Example: x^2 - 4x - 12 = 0

(x-2)(x+6)

2. Formula method: This can be used when factoring the quadratic equation looks difficult or you are given instruction to use formula method

3. Completing the square method: Use completing the square method when you are instructed to do so.

4. Graphical method: This method is used when instructed to find x intercept.

363 square inches

step-by-step explanation:

surface area of a pyramid is b + 1/2ph

b is the area of the base: 11 x 11 = 121

p is the perimeter of the base: 11 + 11 + 11 + 11 = 44

h is the height of the pyramid: 11

121 + 1/2(44)(11)

121 + 242

363

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6