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Yuliya22 [10]
3 years ago
14

Jill and Lori each walk in a straight line between two points. Using the points on a map they created, Jill will start at (–2,–4

) and will stop at (4, 2). Lori will start at (–1,6) and will stop at (4,–4) . Which point will Jill and Lori both walk through?
Mathematics
1 answer:
Olenka [21]3 years ago
6 0
We develop the equation for each of the tracks that will be walked through by Jill and Lori. 
                   Jill:  y - 2 = ((2 - -4)/(4 - -2))(x - 4) ;   y = x - 2
                   Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1);   y = -2x + 4
The intersection of these equation is (2,0). 
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Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
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Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

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-5 + 5 + -1x = 0 + 5

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Simplifying
x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
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Simplifying x = 9

Solution
x = {-5, 9}</span>
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Answer:

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--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

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Answer:

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