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
Anni [7]
3 years ago
6

If a+b=2 find the value of a3+b3+6ab

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

You might be interested in
Son proporciones.<br> cual es el resultado de :x/2,5=y/5 si x+y=6
omeli [17]

Respuesta: x/2,5=y/5=4/5=0,8


x/2,5=y/5

Multiplicando ambos lados de la ecuación por 5:

5(x/2,5)=5(y/5)→2x=y→y=2x

Sustituyendo y por 2x en la ecuación x+y=6:

x+2x=6

Resolviendo para x: Sumando términos semejantes:

3x=6

Dividiendo ambos lados de la ecuación entre 3:

3x/3=6/3

x=2

Sustituyendo x por 2 en la formula y=2x

y=2(2)→y=4

Determinando la proporción:

x/2,5. Sustituyendo x por 2:

2/2,5

Multiplicando numerador y denominador por 2:

2*2/(2,5*2)=4/5

La proporción es 4/5=0,8

Si lo hacemos con y:

y/5

Reemplazando y por 4:

4/5=0,8 (la misma proporción)


7 0
3 years ago
Find the slope of the line y=1/6+3/2
iragen [17]

Answer:

1/6 if you meant to put an X afterwards. If not, there is no slope.

Step-by-step explanation:

6 0
3 years ago
A recipe for cookies calls for 3/4 cups of butter. I want to make 2/3 of the recipe. How much butter should I use to make the co
avanturin [10]

Answer:

Use 1/2 cup butter

Step-by-step explanation:

.75 × .66 = .495

3 0
3 years ago
Match the definition to the correct term.
beks73 [17]

Answer:

Below.

Step-by-step explanation:

Horizontal axis-x-axis.

Vertical axis-y-axis

Point of intersection between two axis-origin

The horizontal position of a point- the x coordinate.

The vertical position of a point- the y coordinate.

5 0
2 years ago
Solve the system of equations<br><br> 4x+3y=13<br> y=-x+4
Delvig [45]
4x+3y=13
y=-x+4
x+y=4
4x+3y=13
4x+4y=16
-y=-3
<em>y=3
</em>
<em />4x+9=13
4x=4<em>
x=1
hope i helped!!</em>
8 0
3 years ago
Other questions:
  • Is this a trick question? Mr. Buckham teaches vocabulary to 27 fourth grade Students. There are 63 new vocabulary words. Each st
    10·2 answers
  • A motorcycle travels 325 miles at a speed of 50 mph. How much time did it take?
    11·2 answers
  • One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from othe
    9·2 answers
  • Which value of x makes the following equation true?
    6·1 answer
  • True or false please help I’ll give brainliest
    9·1 answer
  • A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain numbe
    8·1 answer
  • Carlos pays $25 for skis and borrows the remaining amount. The loan payments are $75 every 3 months for 1/1/2 years. The interes
    12·1 answer
  • I am stuck on part b
    15·1 answer
  • Help please !!!!!!!!!
    13·1 answer
  • Could someone pls explain this step by step? Really simplify it pls because I don't understand it at all.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!