Consider the equation below.
4t^2 - 28t = 6t^2 - 12t + 26
Which equation could be used when completing the square to solve for t?

A. (t + 4)^2 = 3
B. (t + 8)^2 = -13
C. t^2 + 8t + 4 = -13 + 4
D. t^2 + 8t + 64 = -13 + 64

The correct equation that can be used is ( Option A)

Step-by-step explanation:

Given Equation:

It can be rearranged as follows,

IT can be simplified as,

Dividing the above equation by 2, we will get,

Now we have to divide the coefficient of t by 2, we will get 4 and squaring 4, and add that value on both sides of the equation we will get,

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

ask the math teacher she or he would know lol.

step-by-step explanation: