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Hello I am still not understanding these and my homework is due in two days.

Hello I am still not understanding these and my homework is due in two days.-example-1
User LiangWang
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1 Answer

4 votes

Since K is between points J and L. We can conclude:

JK + KL = JL

Where:

JK = x² - 4x

KL = 3x - 2

JL = 28

Replacing the values:

x² - 4x + 3x -2 = 28

Solving for x:

Subtract 28 from both sides:

x² - 4x + 3x - 2 - 28 = 28 - 28

x² - 4x + 3x - 30 = 0

x² - x - 30 = 0

Factor:

(x - 6)(x + 5) = 0

x = 6 or x = -5

since a negative length wouldn't make any sense:

x = 6

Replace the value of x into JK and KL:

JK = x² - 4x = 6² - 4(6) = 36 - 24 = 12

KL = 3x - 2 = 3(6) - 2 = 18 - 2 = 16

User Pjuzeliunas
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