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Varvara68 [4.7K]
3 years ago
11

2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total vo

lume of the cubes?
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

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Factorise 9w² - 100<br><br><br>​
ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

8 0
3 years ago
Please help, it says NOT the correct way.
ololo11 [35]

Answer:

The first one or the 2nd one, since it says NOT worth half, I would say the first one is the answer.

Step-by-step explanation:

5 0
3 years ago
2x + y = 13<br> What y????
hoa [83]

Answer:

2(5) + 3 = 13

Step-by-step explanation:

x=5

y=3

2x+y=13

2(5)+3=13

10 +3 =13

8 0
3 years ago
Read 2 more answers
Factor completely 2x^3y^4-8x^2y^3+6xy^2
Maru [420]

Answer:

2 x y^2 (x y - 1) (x y - 3)

Step-by-step explanation:

2x^3y^4-8x^2y^3+6xy^2

each term contains 2xy^2 so factor that out

2xy^2(x^2y^2 -4xy+3)

then lets factor the inside

what terms multiply together to give us +3 and add to -4

-3* -1 = 3     -3+-1 =-4

2 x y^2 (x y - 1) (x y - 3)

6 0
3 years ago
What expression represents the volume in cubic units?
S_A_V [24]

Answer:

C is correct

Step-by-step explanation:

7 0
3 years ago
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