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tangare [24]
3 years ago
9

If a+ b = 6 and ab = 2 find a^3 + b^3

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)

Plugging in the respective values, you get

a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}

You might be interested in
Length width height equals to 62, what is the maximum volume
joja [24]
Assuming that the given shape is a cuboid, 

volume=l×w×h

v=s³ (since cuboids have same length, they have same side length) 

62=s³
∛62=s 
s=3.957 ≈ 4 units 


Hope I helped :) 
4 0
3 years ago
The sum of five consecutive multiples of 4 is 20.Find the smallest integer.
Aloiza [94]

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

\frac{5x}{5} = \frac{-20}{5}

x = -4

∴ the smallest integer is -4.

Hope this helps!!!

6 0
3 years ago
What is the value of x in the triangle?
Maksim231197 [3]

Answer:

5.619

Step-by-step explanation:

SOH 22 =x/15

cross multiply

X =SOH 22 *15

X =0.3746*15

X =5.619

6 0
3 years ago
The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an
dolphi86 [110]

Answer:

76017.69 mm²

631000 mm³

295045.04 mm³

Step-by-step explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³

8 0
3 years ago
What is the area of a square if one side is 14 centimeters long?
natima [27]

Answer:

A=a2=142=196cm²

Answer: 196 cm²

hope this helps :)

5 0
2 years ago
Read 2 more answers
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