2 years ago

Mary has a box full of apples:

Mathematics

1 answer:

irakobra [83]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

Answer-

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

Solution-

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

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2 years ago

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Shkiper50 [21]

Answer:

The volume is 192

Step-by-step explanation:

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What is the value of y = 3x -1 when x is equal to 4?

UkoKoshka [18]

-11
I guess
Explanation
I don’t know the answer yes I am that dum
Ashiii
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2 years ago

If n2 = 1/16, then n could be which of the following? -8 -1/4 1/4

andreyandreev [35.5K]

$n^2=\dfrac{1}{16}\\\\n=-\dfrac{1}{4} \vee n=\dfrac{1}{4}$

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2 years ago

I don't get it? can someone explain it to me

IRISSAK [1]

I think you would do 15 divided by 5 but I’m not 100% shure

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2 years ago