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2 years ago

3/4 divided by 5/6 explain how to do this please!

Mathematics

2 answers:

scZoUnD [109]2 years ago

8 0

Answer:

3/4 multiply by 6/5

3/2 * 3/5

9/10

Galina-37 [17]2 years ago

6 0

Answer:

9/10

Step-by-step explanation:

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3 years ago

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]

<u>Answer-</u>

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

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

<u>Solution-</u>

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

The applying the distance formula,

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

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

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

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

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

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

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

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

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2 years ago

Factor x4+6x2+9 completely.

Nata [24]

Is it to the 4th power and the second power if so it is:

( x ^2 − 3 ) ^2

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3 years ago