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2 years ago

Mikeply o binomial by a trinomial(x-1) (x²+x+1)

Mathematics

2 answers:

Masteriza [31]2 years ago

8 0

Answer:

x³ - 1

Step-by-step explanation:

Given

(x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

x³ + x² + x - x² - x - 1 ← collect like terms

= x³ - 1

andrey2020 [161]2 years ago

7 0

Answer:

See if this is helpful

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2 years ago

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Varvara68 [4.7K]

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3 years ago

. The sun was shining on 3 out of every 4 days. On what percent of the days was the sun not shining

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the sun was not shining on 1/4 of the days, which is equal to 25% of them.

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2 years ago

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A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou

trasher [3.6K]

Hello!

The area of a cylinder formula- Area = Pi * radius squared * height

In this case we are looking for height (altitude) 

plug in our known values 

500 = area 
4 = radius 
Pi ~ 3.141592654 

to find height... 

500 = 3.141592654 * (4)^2 * height 

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500 = 50.26 * height 

divide both sides by 50.26.. 

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3 years ago

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Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

Jobisdone [24]

Answer:

Area of the polygon = 59 in²

Explanation:

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

Therefore:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

1- getting the area of the upper triangle:

We have:

base of triangle = 7 in

height of triangle = 6 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*7*6=21$ in²

2- getting the area of the side triangle:

We have:

base of triangle = 4 in

height of triangle = 5 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*4*5=10$ in²

3- getting the area of the rectangle:

We have:

length of rectangle = 7 in

width of rectangle = 4 in

Therefore:

Area of rectangle = length x width = 7 x 4 = 28 in²

4- getting the total area of the polygon:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

Therefore:

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

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3 years ago

Mikeply o binomial by a trinomial(x-1) (x²+x+1)​

Mikeply o binomial by a trinomial(x-1) (x²+x+1)