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3 years ago

(5m 3 + 3mn 2) + (-7m 2n + mn 2 - n 3) - (mn 2 + 2m 3)

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:

$3m^{3}+3mn^{2} -n^{3}- 14mn$

Step-by-step explanation:

I assumed that the numbers after the spaces were powers. This question was rather unclear.

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Write an equation of the circle with center (-3, 4) and radius 6.

Sedaia [141]

Answer:

(x+3)²+(y-4)²=36.

Step-by-step explanation:

For this, we need to use the equation of a circle which is:

(x-h)²+(y-k)²= r²

Simply substitute the center values for 'h,k', and the radius for 'r'.

This will give you:

(x+3)²+(y-4)²=36.

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3 years ago

If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

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3 years ago

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Step-by-step explanation:

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3 years ago

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2 years ago

If x2 = 30, what is the value of x?<br> A. ±60 B. ±15 C. ±square root of 30 D.±square root of 15

anygoal [31]

Answer:

C. ±square root of 30

Step-by-step explanation:

Apply the square root function to both sides of the equation:

$\sqrt{x^2}=\sqrt{30}\\\\|x|=\sqrt{30}\\\\x=\pm\sqrt{30}$

_____

The absolute value equation has two solutions. They match choice C.

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2 years ago