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3 years ago

How would the expression x^2+27 be rewritten using sum of cubes?

1 answer:

6 0

Assuming the square is not a typo, one can write

$x^2+27=(x^{2/3})^3+3^3=(x^{2/3}+3)\bigg((x^{2/3})^2-3x^{2/3}+9\bigg)$

$=(x^{2/3}+3)\bigg(x^{4/3}-3x^{2/3}+9\bigg)$

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Please find the slope

olga nikolaevna [1]

After using the slope formula your answer would be 5/0.1 but when simplifying your answer is 50

7 0

3 years ago

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

Therefore, the correct answer is the letter C.

I hope it helps you!

5 0

3 years ago

One of two complementary angles is 12 degrees greater than the other. Find the measure of the larger angle.

stiks02 [169]

Answer:

39,51

Step-by-step explanation:

Complementary angles add to 90 degrees

Let one angle be x

The other angle is x+12

x+ x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide each side by 2

2x/2 = 78/2

x =39

The other angle is 39+12 =51

8 0

3 years ago

Which is the correct cofunction identity for tan0

svetoff [14.1K]

Answer:

E. cot(90° -θ)

Step-by-step explanation:

The "cofunction" is named by adding or deleting the "co" in front of the function name. The cofunction for tangent is cotangent.

The tangent of an angle is the cotangent of the complement of the angle:

tan(θ) = cot(90° -θ)

5 0

2 years ago

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How many unique ways are there to arrange the letters in the word APE

CaHeK987 [17]

Answer: 9

Step-by-step explanation:

6 0

3 years ago

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