1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
( p + 6 ) + ( 8p + 2 )
victus00 [196]

Answer:

9p+8

Step-by-step explanation:

p+8p= 9p

6+2= 8

9p+8

4 0
3 years ago
Read 2 more answers
The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .
gayaneshka [121]
Translation 1 unit left and rotation of 90 degrees counterclockwise
5 0
3 years ago
Read 2 more answers
Write an equation for the function
Mila [183]

Answer:

  m(u) = -0.25(u +2)² +1    or    -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

  m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

  m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

  m(u) = -0.25u² -u

8 0
3 years ago
A shark weighs 405 kg and 68 grams a second shark weighs 324 kg and 75 g how much more does the first shark weigh in grams than
mariarad [96]

For this case we have to by definition:

1 kg equals 1000 grams

Shark 1:

405 kg and 68 grams

405 kg * \frac {1000 g} {1kg} = 405,000 grams

Thus, shark 1 weighs 405,068 grams.

Shark 2:

324 kg and 75 grams

324 kg * \frac {1000 g} {1 kg} = 324,000 grams

Thus, shark 2 weighs 324,075 grams.

Subtracting we have:

405.068 grams-324.075 grams = 80.993 grams

Thus, shark 1 weighs 80,993 grams more than the second.

Answer:

Shark 1 weighs 80,993 grams more than the second.

8 0
3 years ago
How does finding the square root of a number compare to finding the cube root lf a number? Use the number 64 in your explainatio
xenn [34]

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

6 0
3 years ago
Other questions:
  • Farmer Fred has 200 sheep he sells 40 of them what percentage of his sheep has he got left
    15·2 answers
  • Create an array for 4x3
    11·1 answer
  • Hank's speedometer reads 60 miles per hour, but during a road test he finds that he
    14·2 answers
  • My question is what is 4-5h how do you solve this problem
    14·2 answers
  • What is the x value for the solution -x+2y=6 <br> 6y =x+18
    13·1 answer
  • Which expression represents the calculation a (3x6)+5<br> B 6+(5x3) C 3+(6x5) D 3x(5+6)
    6·1 answer
  • Please answer these questions (will mark brainlyest to BEST answer; If you guess, or just give a nonsense answer, I will report.
    8·2 answers
  • Evaluate the expression for p=3.<br><br> 4p=
    10·2 answers
  • What function is it ?! refer to photo. <br> 10 8<br> 5 4<br> 0 0<br> -5 -4
    10·1 answer
  • A-AAS<br> B-ASA<br> C-HL<br> D-SAS<br> E-SSS<br> F-Not congruent
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!