$\text{If}\ x_1,\ \text{and}\ x_2\ \text{are zeros of a polynomial function, then the function}\\\text{has equation}:\\\\f(x)=a(x-x_1)(x-x_2).\\----------------------------\\\\11.\ \text{We have the zeros}\ 3\ \text{and}\ i:\\\\f(x)=(x-3)(x-i)=(x)(x)+(x)(-i)+(-3)(x)+(-3)(-i)\\\\=x^2-xi-3x+3i=\boxed{x^2-(3+i)x+3i}\\\\12.\ \text{We have the zeros}\ -2\ \text{and}\ 2i:\\\\f(x)=(x-(-2))(x-2i)=(x+2)(x-2i)\\\\=x^2-(2i)^2=x^2-2^2i^2=x^2-4(-1)=\boxed{x^2+4}\\\\\text{used}\\\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1$

3 0

3 years ago

The following is an equilateral triangle. Solve for y.

GuDViN [60]

Answer:

y = 68 degrees

Step-by-step explanation:

Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8

If one of the angles is y-8, then the rest are y-8 too

mathematically, by adding all , we have a total of 180

Thus;

3(y-8) = 180

y-8 = 180/3

y-8 = 60

y = 60+8

y = 68 degrees

7 0

3 years ago

jason has $2.25 worth of dimes and quarters. he has twice as many dimes as quarters. determine the number of quarters he has.

Romashka [77]

He has 22 dimes so he would have 44 hope this help sorry if it wrong

8 0

3 years ago

Determine whether the statement is always, sometimes, or never true: Two points A and B determine a line. *

alisha [4.7K]

Answer:

sometimes

Step-by-step explanation:

8 0

3 years ago