Answer:
Complete the square on x by adding <u>49</u> to both sides.
Complete the square on y by adding <u>81</u> to both sides.
Step-by-step explanation:
We have been given an equation 
. We are asked to complete the squares for both x and y.
We know to complete a square, we add the half the square of coefficient of x or y term.
Upon looking at our given equation, we can see that coefficient of x is 14 and coefficient of y is 18.
Now, we will add 49 to complete the x term square and 81 to complete y term square on both sides of our given equation as:
Applying the perfect square formula 
, we will get:
Therefore, We can complete the square on x by adding <u>49</u> to both sides and the square on y by adding <u>81</u> to both sides.
4 Blocks West, 5 Blocks East, 1 Block East, 2 Blocks West
W = West
E = East
<h2>4W + 5E + 1E + 2W</h2>
Simplify, by collecting like terms.
<h2>6W + 6E</h2>
Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
Determining the slope between (-3, -16) and (-5, -26)
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
Therefore, we conclude that the equation of the line is:
Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions
Answer:
2
Step-by-step explanation:
