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Point J is located at -19. Points K and L are each 8 units away from Point J. Where
are K and L located?
K= L=

Sagot :

oladayoademosu

So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

How to find the location of K and L?

Givent that Point J is located at -19. Points K and L are each 8 units away from Point J. This implies that the modulus of K - J or modulus of L - J = 18.

So, |K - J| = 8

⇒ K - J = 8 or -(K - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ K - J = 8 or -(K - J) = 8

⇒ K - (-19) = 8 or -(K - (-19)) = 8

⇒ K + 19 = 8 or (K - (-19)) = -8

⇒ K + 19 = 8 or K + 19 = -8

⇒ K = 8 - 19 or K = -8 - 19

⇒ K = - 11 or K = -27

Also, |L - J| = 8

⇒ L - J = 8 or -(L - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ L - J = 8 or -(L - J) = 8

⇒ L - (-19) = 8 or -(L - (-19)) = 8

⇒ L + 19 = 8 or (L - (-19)) = -8

⇒ L + 19 = 8 or L + 19 = -8

⇒ L = 8 - 19 or L = -8 - 19

⇒ L = - 11 or L = -27

So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

Learn more about modulus of a number here:

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