What is the missing constant term in the perfect square that starts with x^2-12xx 2 −12xx

We have been given an expression . We are asked to determine the missing term in the expression that will make the expression a perfect square.

To complete a square, we need to add the square of half of the coefficient of x.

We can see that coefficient of x is . To complete the square we need to find half of the square of .

Upon adding 36 to our expression, we will get:

We can see that our expression is now perfect square as we can rewrite is as:

Therefore, the missing constant term in the given perfect square would be 36.

36

Step-by-step explanation:

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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