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dalvyx [7]
2 years ago
6

Factorize 27x^3-16y^3

Mathematics
1 answer:
guapka [62]2 years ago
4 0

It cannot be factorized further

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Just number 7 would be fine but if you could also number 8 would help a lot​
BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

r + 2 - 8r = -3 - 8r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    -7r + 2 = -3 - 8r
  2. Add 8r to both sides:                   r + 2 = -3
  3. Subtract 2 on both sides:            r = -5

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                    -5 + 2 - 8(-5) = -3 - 8(-5)
  2. Multiply:                              -5 + 2 + 40 = -3 + 40
  3. Add:                                    -3 + 40 = -3 + 40
  4. Add:                                    37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

<u>Step 4: Define equation</u>

-4x = x + 5

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    -5x = 5
  2. Divide -5 on both sides:                      x = -1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -4(-1) = -1 + 5
  2. Multiply:                               4 = -1 + 5
  3. Add:                                     4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0
3 years ago
Read 2 more answers
What is 1.83 as a mixed fraction
lora16 [44]

Answer:

1\frac{83}{100}

Step-by-step explanation:

First of all, the number before the decimal would be the whole number of the fraction.

So, 1\frac{?}{?}

Then, you would put 0.83 over a fraction.

So because you cannot simplify it anymore, it would be 1\frac{83}{100}

6 0
2 years ago
Find the reciprocal of 1/5
ivanzaharov [21]

Answer:

Hey! The reciprocal of 1/5 is 5!

Hope this helps :)

~sofia

6 0
3 years ago
Can somebody help with this!!!! please.
kvasek [131]

Answer:

2(x-3)(x-1)

Step-by-step explanation:

2(x+x+3)

2(x-3)(x-1)

8 0
2 years ago
Read 2 more answers
If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
brilliants [131]

Answer:

  1.17 units

Step-by-step explanation:

From the definition of the sine of an angle, you know ...

  sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

  sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is ...

  AB -AD = 5.6569 -4.4893 = 1.1676

  AB -AD ≈ 1.17 units

4 0
3 years ago
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