35this will me ! consider this system of equations: -3x + 5y = 22 (equation 1) 20y − 11 = 12x (equation 2) this system of linear equations represents . (a. coincidental b. intersecting c. parallel) the system of equation 1 and the equation 20y = 12x + 88 lines. (a. coincidental b. intersecting c. parallel)

This system of linear equations represents parallel lines.

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

Step-by-step explanation:

-3x + 5y = 22 (equation 1)

Lets solve the equation for y

Add 3x on both sides

5y= 3x+22

Now divide by 5 on both sides

Slope of equation 1 is

20y − 11 = 12x (equation 2)

solve for y

Add 11 on both sides

20y = 12x + 11

Divide by 20 on both sides

simplify the fraction

Slope of equation 2 is

Slope of equation 1  and equation 2  are same , so the lines are parallel

This system of linear equations represents parallel lines.

-3x + 5y = 22 (equation 1) and 20y = 12x + 88

Solve both equations for y

-3x + 5y = 22 (equation 1)

Slope of equation 1 is and y intercept is 22/5

20y = 12x + 88

Divide by 20 on both sides and simplify the fraction

Slope of 20y=12x+88 is and y intercept is 22/5

Slope and y intercepts are same so the lines are coincidental

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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