Which of the following shows the sum of the polynomials −3x2+3y2+4x and 4x2−4y+2? a. −3x2+3y2+4x+4x2−4y+2 b. −x2+3y2+4x−4y+2 c. x2+3y2+4x−4y+2 d. 7x2+3y2+4x+4x2−4y+2

-3x² + 3y² + 4x  + 4x² - 4y + 2

Add like terms.

x² + 3y² + 4x - 4y + 2

So the answer is D.

D. 7x2+3y2+4x+4x2−4y+2 is your correct answer

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct