Mathematics, 03.08.2019 09:30 lemoinedegraw

Point k is the midpoint of jl. if jk=7x+4 and kl=12x−21, what is the length of jl?

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Since K is the midpoint of JL, it divides the segment JL into two equal halves.
That means ⇒ JK = KL
Substitute expressions for the parts ⇒ 7x + 4 = 12x - 21
Now solve the equation: 7x - 7x + 4 = 12x - 7x - 21
4 = 5x - 21
4 + 21 = 5x - 21 + 21
25 = 5x
5 = x
Substitute the value into one of the expressions: JK = 7(5) + 4 = 39
JL = JK + KL
JL = 39 + 39 = 78

Answer from: Quest

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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