Area composed figures quiz level G

Yakvenalex [24]

The correct answer is 4

4 0

3 years ago

Sum of cubes: (a b)(a2 – ab b2) = a3 b3 Difference of cubes: (a – b)(a2 ab b2) = a3 – b3 Which products result in a sum or diffe

valentina_108 [34]

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

<h3>What is formula of sum of cubes and difference of cubes?</h3>

Formula of sum of cubes and difference of cubes are following

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

(a)

$(x-4) \left(x^{2}+4 x-16\right)\\=(x-4) \left(x^{2}+4 x-4^2\right)\\\\$

by comparison with formula we can say that this is neither sum or nor difference of cubes.

(b)

$(x-1)\left(x^{2}-x+1\right)\\=(x-1)\left(x^{2}-x+1^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

(c)

$(x+1)(x-1)=x^{2}-1^{2}\\$

we can say that this is neither sum nor difference of cube as it's difference of squares.

(d)

$(x+4)\left(x^{2}-4 x+16\right)\\\\(x+4)\left(x^{2}-4 x+4^2\right)$

by comparison with formula this is equal to

$x^{3}+4^{3}\\$

Hence this is sum of cubes

(e)

$(x+4)\left(x^{2}+4 x+16\right)\\(x+4)\left(x^{2}+4 x+4^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

To know more about cubes visit: brainly.com/question/107100

8 0

2 years ago

HELPPPPPPPPPPP! PLEASE ILL GIVE 20 POINTS AND BRAINLIEST!

meriva

Explanation:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (

160

meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle:

d

π

or

2

r

π

, where

d

represents diameter and

r

represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is

14400

and that its length is

160

.

Width: area divided by length

14400

160

=

90

The diameter of the circle and the width of the rectangle is

90

meters.

Circumference:

90

⋅

π

=

90

π

→

If you are using an approximation such as 3.14 for

π

, multiply that by 90

Add

160

⋅

2

to the circumference since the lengths of the rectangle are also part of the perimeter.

160

⋅

2

=

320

90

π

+

320

i hope it helps you ok please mark ❣️ me as brainlist

8 0

1 year ago

Read 2 more answers

Of all 25 marbles in a bag, 3 of the marbles

Tom [10]

Answer:

You have a 12% chance of pulling out a white marble

Step-by-step explanation:

Their is 25 marbles in the bag and you have 3 out of 25 chance of pulling out a white marble. 3/25=0.12 so you have a 12% chance of pulling out a white marble.

4 0

2 years ago

Read 2 more answers

How do I simplify 10q-2q+3-9?

Viktor [21]

Answer:

The answer should be 8q-6 i think i tried

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers