:

which of the following equations would be the result of using completing the square to solve the equation 3x 2 + 11x - 4 = 0?

a: (x+11/3)^2=169/36
b: (x+11/6)^2=169/36
c: (x+11/6)^2=4/3

Step-by-step explanation:

Divide the whole equation by 3

Shift the constant term to the other side

Add and subtract the square of half of the coefficient of  x

Using identity :

Hence Option B is correct .

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form