3 years ago

Graph the polar equation r = 4 cos 3θ.

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

First is Polar and second is Rectangle

Yuki888 [10]3 years ago

7 0

Hello,
see picture.
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A number consists of two digits whose sum is 12. If 16 is added to the number, then one of the digits is four times the value of

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Answer: The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

$x+10(12-x)\\\\=x+120-10x\\\\=-9x+120$

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

$-9x+120+16\\\\=-9x+136$

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

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According to question, it becomes,

$14x=-9x+136\\\\14x+9x=136\\\\23x=136\\\\x=\dfrac{136}{23}=12$

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$-9x+120=-9\times 12+120=-108+120=12$

Hence, the number is 12.

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