Find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)

Therefore,

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

Substituting the values we get

Square Rooting we get

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

Therefore,

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3