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nalin [4]
3 years ago
7

If a- 2b +3c =0 prove that a³ -8b³+ 27c²= - 18abc​

Mathematics
2 answers:
Yanka [14]3 years ago
7 0

Answer:

<u>Use the identity:</u>

  • x³ + y³ + z³ = 3xyz if x + y + z = 0

<u>Substitute:</u>

  • x = a, y = -2b, z = 3c

<u>to get</u>

  • a³ + (-2b)³ + (3c)³ = 3a(-2b)(3c)
  • a³ - 8b³ + 27c³ = --18abc
inna [77]3 years ago
4 0

Step-by-step explanation:

the answer is in the photo as attached

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Luis used compensation to find 6,572-239 compensation methods u
saveliy_v [14]

Here is the solution...

Compensation

The compensation is nothing but the process of reforming the given expression to find the answer mentally.

Here we need to rewrite the given expression in order find the answer mentally.

<u>Step 1:</u>

Here we can add 8 with 6572, so we get 6580.

<u>Step 2: </u>

Add 8 from 239, so we get 247.

<u>Step 3:</u>

We can rewrite 247 as 240 + 7

<u>Step 4:</u>

Now we can subtract 240 from 6580, so we get 6340.

We can calculate this mentally.

<u>Step 5:</u>

Finally, we can subtract 7 from 6340 mentally, So we get

6333.


Mathematically, the above expression written as

6572- 239

= 6572 + 8 - (239 + 8)

= 6580 - 247

= 6580 - (240 + 7)

= 6580 -240  - 7

= 6340 - 7

= 6333



3 0
3 years ago
The graph of a quadratic function is shown above.
OleMash [197]

Answer:

  • 0 real zeros
  • 2 complex zeros

Step-by-step explanation:

The "fundamental theorem of algebra" says a polynomial of degree n will have n zeros. If the polynomial has real coefficients, the complex zeros will appear in conjugate pairs.

The graph of this quadratic (degree = 2) does not cross the x-axis, so there are no real values of x that make y=0. That means the two zeros are both complex.

6 0
3 years ago
Which solids can have vertical cross sections that are circles? Check all that apply
blsea [12.9K]

cones

cylinders

spheres

Step-by-step explanation:

The question was worded incorrectly and instead of giving the options it gave you the answers

5 0
4 years ago
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olga2289 [7]

Answer:

Green Material: <u>129.6</u> in³

Brown Material: <u>194.4</u> in³

Step-by-step explanation:

The volume of the bin is 4×18×9 in³ or 648 in³

20% of 648 is 129.6 in³ (brown material)

30% of 648 is 194.4 in³ (green material)

5 0
4 years ago
How do I rotate a point by 180 degrees clockwise?
gizmo_the_mogwai [7]

180 degrees is half of a circle, and clockwise means turning in the direction a clock does - right.

So a point would be turned right halfway around.

8 0
3 years ago
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