To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]
This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered
Answer:
![3(x+3)(x -1)](https://tex.z-dn.net/?f=3%28x%2B3%29%28x%20-1%29)
Step-by-step explanation:
![3x^2 + 6x -9](https://tex.z-dn.net/?f=3x%5E2%20%2B%206x%20-9)
All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:
![= 3(x^2 + 2x -3)](https://tex.z-dn.net/?f=%3D%203%28x%5E2%20%2B%202x%20-3%29)
Now, factor inside the parentheses by grouping:
![= 3(x^2 -1x+3x -3)](https://tex.z-dn.net/?f=%3D%203%28x%5E2%20-1x%2B3x%20-3%29)
We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.
![= 3(x(x -1)+3(x -1))\\= 3(x+3)(x -1)](https://tex.z-dn.net/?f=%3D%203%28x%28x%20-1%29%2B3%28x%20-1%29%29%5C%5C%3D%203%28x%2B3%29%28x%20-1%29)
Therefore, the final factored polynomial is
.
Answer:
semoga jawapan ini dapat membantu
<em>x equals 22</em>
<h2>
Explanation:</h2>
____________________________________________
The Segment Postulate states the following:
<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>
![\overline{AB}=\overline{AC}+\overline{CB}](https://tex.z-dn.net/?f=%5Coverline%7BAB%7D%3D%5Coverline%7BAC%7D%2B%5Coverline%7BCB%7D)
____________________________________________
From the figure:
![\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40](https://tex.z-dn.net/?f=%5Coverline%7BAC%7D%3D8%2Bx%20%5C%5C%20%5C%5C%20%5Coverline%7BCB%7D%3D10%20%5C%5C%20%5C%5C%20%5Coverline%7BAB%7D%3D40)
Our goal is to find x:
![\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}](https://tex.z-dn.net/?f=%5Coverline%7BAB%7D%3D%5Coverline%7BAC%7D%2B%5Coverline%7BCB%7D%20%5C%5C%20%5C%5C%20Substituting%20%5C%20values%3A%20%5C%5C%20%5C%5C%2040%3D%288%2Bx%29%2B10%20%5C%5C%20%5C%5C%2018%2Bx%3D40%20%5C%5C%20%5C%5C%20Subtracting%20%5C%2018%20%5C%20from%20%5C%20both%20%5C%20sides%3A%20%5C%5C%20%5C%5C%2018-18%2Bx%3D40-18%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx%3D22%7D)
<h2>Learn more:</h2>
Dilation: brainly.com/question/2501119
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