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:
![-13x-23](https://tex.z-dn.net/?f=-13x-23)
Step-by-step explanation:
Given sequence: ![x-9, -x-11, -3x-13](https://tex.z-dn.net/?f=x-9%2C%20-x-11%2C%20-3x-13)
Therefore,
General form of an arithmetic sequence: ![a_n=a+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
![\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dd%20%26%20%3Da_2-a_1%5C%5C%20%26%20%3D%28-x-11%29-%28x-9%29%5C%5C%20%26%20%3D%20-x-11-x%2B9%5C%5C%20%26%20%3D%20-2x-2%5Cend%7Baligned%7D)
Therefore,
![a_n & =(x-9)+(n-1)(-2x-2)](https://tex.z-dn.net/?f=a_n%20%26%20%3D%28x-9%29%2B%28n-1%29%28-2x-2%29)
To find the 6th term, input n = 6 into the equation:
![\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20a_6%20%26%20%3D%28x-9%29%2B%286-1%29%28-2x-2%29%5C%5C%20%26%20%3D%20%28x-9%29%2B7%28-2x-2%29%5C%5C%20%26%20%3D%20x-9-14x-14%5C%5C%20%26%20%3D%20-13x-23%5Cend%7Baligned%7D)
Answer:
2.8
Step-by-step explanation:
I hope this helps!
The surface area of a sphere is 4r^2pi, so dividing 100 by 4pi gives a result of 25/pi. Taking the square root and rationalizing the denominator, we have 5sqrt(pi)/pi as the radius of the sphere.
Answer:
cost price of a table=$9000
profit%=20%
Let profit be x
to find profit use formula,
profit%=profit/cost price*100
20%=x/$9000*100
20*$9000=100x
$180000/100=x
$1800=x
Now to find selling prie os a table use formula,
cost price +profit
$9000+$1800
$91800
therefore selling price of a table is $91800
Step-by-step explanation:
Hope this helps u!!