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Genrish500 [490]
3 years ago
6

KL = 8x-5 and LM = 6x+3

Mathematics
2 answers:
Katarina [22]3 years ago
6 0
KL = LM                         To find the measures of KL
8x-5 = 6x+3                
-6x      -6x                               8(4) - 5
___    ___                                32 - 5
2x - 5 = 3                                   27
    +5    +5
    __    __                        To find the measure of LM
                                                  
2x = 8                                        6(4) + 3
---   ---                                         24 + 3
x = 4                                               27

Burka [1]3 years ago
4 0
The answer is x=4. 
set the equations up: 8x-5=6x-3
Subtract 6x from one side and then the other side 2x-5=3 
Add 5 from one side and then the other 2x=8
Divide 2 on each side which gets you x=4
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Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

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Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

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