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3 years ago

Find the volume of a cube with x+2

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

x^3 + 6x^2 + 12x + 8

Step-by-step explanation:

(x+2)(x+2)(x+2)

(x^2 + 4x + 4)(x+2)

x^3 + 2x^2 + 4x^2 + 8x + 4x + 8

x^3 + 6x^2 + 12x + 8

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What can 6/9 be Simplified to

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Answer:

2/3

Step-by-step explanation:

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3 years ago

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(2x + 3) •x • (4x + 1)

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3 years ago

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2 years ago

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Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks

Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be $x$ , and let the number of pairs Lucy has be $y$ .

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

$\frac{1}{3}x + 4 = y$ .............................. equation 1

Also , Lucy has at most 9 pairs of socks , this means that

$y\leq 9$ ....................................... equation 2

Equating the two equations , we have

$\frac{1}{3}x + 4 \leq 9$

multiply through by 3

$x + 12\leq 27$

subtract 12 from both sides

$x\leq 15$

Therefore , the sister has at most 15 pairs of socks

4 0

3 years ago

If anyone knows the answer to these can u please help? thank you! :)

Dennis_Churaev [7]

Answers:

A) Ray QS or Ray QR
B) Line segment QS or SQ
C) Plane QSR
D) Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

Line QR
Line QS
Line RQ
Line RS
Line SQ
Line SR

4 0

2 years ago