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Firlakuza [10]
3 years ago
15

Point e is between points d and f. If DE=x-4,EF=2x+5 and DF=4x-8, find x number 17 help please

Mathematics
2 answers:
Murljashka [212]3 years ago
4 0
DF =DE + EF
4x-8 = x-4 + 2x+5 
4x - 8 = 3x + 1
4x - 3x = 1 + 8
x = 9

Anna007 [38]3 years ago
4 0

Answer:  The required value of x is 9.

Step-by-step explanation:  Given that point E is between the points D and F.

Also, DE = x - 4, EF = 2x + 5  and DF = 4x - 8.

We are to find the value of x.

Since the point E lies between the points D and F, so we must have

DE+EF=DF\\\\\Rightarrow (x-4)+(2x+5)=4x-8\\\\\Rightarrow 3x+1=4x-8\\\\\Rightarrow 4x-3x=1+8\\\\\Rightarrow x=9.

Thus, the required value of x is 9.

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Hope this helps!
8 0
3 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

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so setting dF/dv will give a minima

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or v = 216/v^2

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7 0
4 years ago
Determine the discount between the point(-4,2) and the line 4y=3×+6​
Savatey [412]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

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Now general form of a linear equation is;

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We are given;

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Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

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Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

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