X^3 + 8 = x^3 + 2^3, a sum of two cubes.
So it can be factorised using the sum of two cubes rule...
a^3 + b^3 = (a + b)(a^2 - ab + b^2).
Therefore
x^3 + 8 = (x + 2)(x^2 - 2x + 4).
Hope this helps
Answer:
to be honest i need the points so srry
Step-by-step explanation:
The complete question in the attached figure
we know that
[area of rectangle]=b*h
b=(x+2)
h=(2x+2)
Area=130 m²
then
130=(x+2)*(2x+2)--------> 2x²+2x+4x+4-130=0--------> 2x²+6x-126=0
the answer Part a)
the equation to find x is
[2x²+6x-126=0]
<span>b.) solve the equation by completing the square</span>
130=(x+2)*(2x+2)
using a graph tool
see the attached figure
the solution is
x=6.58 m
the answer Part b) is
<span>(x + 2)(2x + 2) = 130; x = 6.58 m</span>
Answer:
Find the area of two sides (Length*Height)*2 sides.
Find the area of adjacent sides (Width*Height)*2 sides.
Find the area of ends (Length*Width)*2 ends.
Add the three areas together to find the surface area.
Example: The surface area of a rectangular prism 5 cm long, 3 cm.
The length of it's side and surface area is 2 meters and 24 meters square respectively
<h3>How to determine the parameters</h3>
The formula for calculating the volume of a cube is given as;
Volume = a^3
Where a is the length of it's side
Now, let's substitute the volume into the formula, we have
8000000 = a^3
Let's find the cube root of both sides
cube root of 8000000 = 200
cube root of a^3 = a
Then, we have
a = 200cm
The length of it's side in meters
= 200/100
= 2 meters
Surface area = 6a^2
Surface area = 6 × 2^2
Surface area = 6 × 4
Surface area = 24m ^2
Thus, the length of it's side and surface area is 2 meters and 24 meters square respectively.
Learn more about a cube here:
brainly.com/question/1972490
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