Use the word bank below to complete the following statements. You may use the same word more than once, if applicable. 1. The AA Criterion states that in any two triangles, if two corresponding angles are , then both triangles are .
2. In a right triangle, the sides that make up the right angle are called the . The longest side of the right triangle is called the . 3. If two triangles are similar, then their corresponding angles are and their corresponding sides are .
4. The Pythagorean Theorem states that the sum of the squares of the is equal to the square of the .
5. If the sides of a triangle do not satisfy the equation ��2 + ��2 = ��2, then the triangle is not a .

x-3y=4

step-by-step e

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.