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3 years ago

How to write a number increased by 11 is eaqual to twice the number decreased by 12

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

Answer: The number is 23

Step-by-step explanation:

Let x be the [number]

Rephrase the expression

a number increased by 11 is equal to twice the number decrease by 12

x+11=2x-12

Add 12 on both sides

x+11+12=2x-12+12

x+23=2x

Subtract x on both sides

x+23-x=2x-x

x=23

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

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Answer:

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3 years ago

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Answer:

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Explanation:

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3 years ago

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LORAN follows an hyperbolic path.

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The coordinates are given as:

$\mathbf{(x,y) = (-60,0)\ (60,0)}$

The center of the hyperbola is

$\mathbf{(h,k) = (0,0)}$

The distance from the center to the focal points is given as:

$\mathbf{c = 60}$

Square both sides

$\mathbf{c^2 = 3600}$

The distance from the receiver to the transmitters is given as:

$\mathbf{2a = 100}$

Divide both sides by 2

$\mathbf{a = 50}$

Square both sides

$\mathbf{a^2 = 2500}$

We have:

$\mathbf{b^2 = c^2 - a^2}$

This gives

$\mathbf{b^2 = 3600 - 2500}$

$\mathbf{b^2 = 1100}$

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$\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}$

So, we have:

$\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}$

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Hence, the equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$