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Minchanka [31]
3 years ago
13

Factorize (x+2)^3-27​

Mathematics
2 answers:
icang [17]3 years ago
3 0

Answer:

a 3 + b 3 = (a + b) (a 2 − a b + b 2 ). Substituting a = x and b = 3 into the formula yields: x 3 + 27 = (x + 3) (x 2 − 3 x + 9).

Step-by-step explanation:

devlian [24]3 years ago
3 0

Answer:

(x-1)(x^{2} +7x+19)

Step-by-step explanation:

See attached work. Appologies for earlier confusion. Please mark Brainliest.

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Simplify (a^-2*b^2/a^2*b^-1)<br><br><br> The answer is B
Ad libitum [116K]

Answer:

=b/a^4

Step-by-step explanation:

6 0
2 years ago
Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
Convert 12midnight to 24h clock system ​
Leno4ka [110]

Answer:

exactly 12:00 midnight on a 24hour clock is represented as 00:00

5 0
1 year ago
Write the equation of the line through (0, −2) and (3, 13) in point-slope form. The line through (0, −2) and (3, 13) in point-sl
Strike441 [17]

Answer:

  • y + 2 = 5x

Step-by-step explanation:

<u>Point-slope form: </u>

  • <em>y - y1 = m(x - x1)</em>

<u>Slope formula:</u>

  • <em>m = (y2 - y1)/(x2 - x1)</em>

<u>Given points:</u>

  • (0, -2) and (3, 13)

<u>Finding the slope:</u>

  • m = (13 - (-2))/(3 - 0)
  • m = 15/3
  • m = 5

<u>Using point 1</u>

  • y - (-2) = 5(x - 0)
  • y + 2 = 5x

4 0
2 years ago
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