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emmasim [6.3K]
2 years ago
13

Can someone please answer this for me ? thanks

Mathematics
2 answers:
Leokris [45]2 years ago
7 0

Answer:

x=-4.5

Step-by-step explanation:

In the given triangle, Two sides are divided into equal part.

It means D and E is mid point of AB and AC.

Mid-point theorem: The line joining  the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.

In the given figure, (Attachment)

DE = 3x+4

BC = 4x-1

DE=\dfrac{1}{2}BC             [mid-point theorem]

3x+4=\dfrac{1}{2}(4x-1)

2(3x+4)=4x-1

6x+8=4x-1

6x-4x=-9

2x=-9

x=-4.5

Hence, The value of x is -4.5

Sonja [21]2 years ago
5 0

3x +4 is 7x and 4x- 1 is 3x because yhat how you solve that

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WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


{11 \choose 0}  = 1


{11 \choose 1}  = 11


{11 \choose 2}  = \dfrac{11 \times 10}{2} = 55


{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


(1-3x)^{11} =  1 -33 x + 495 3x^2 - 4455 x^3+ ...



6 0
3 years ago
Find slope (17,2) and (17,-3)
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2 years ago
2(3x-5)Explain how to write it.
wolverine [178]

Hello!

I'm assuming we're simplifying here

to simplify, use the distributive property of multiplication

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6x - 10 is your simplified answer

I hope this helps, and have a nice day!

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3 years ago
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Alexeev081 [22]

Answer:

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