1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
3 years ago
9

A rectangular prism has a volume of 16y^4+16^y^3+48y^2 cubic units. Which could be the base area and height of the prism?

Mathematics
1 answer:
Liula [17]3 years ago
5 0
\bf \textit{volume of a rectangular prism}\\\\
V=Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
-----------\\
V=16y^4+16y^3+48y^2
\end{cases}
\\\\\\
16y^4+16y^3+48y^2=Bh\implies 16y^2(y^2+y+3)=Bh

so since its just two factors, you can pick either for the "B" or "h", or one can say that the trinomial is the "B", because it can be factored into a couple more binomials, either way will work.
You might be interested in
PLEASE HELLPP!!!
Maslowich

Step-by-step explanation:

13.3 + ( - 7) \\ 13.3 - 7 = 6.3

4 0
3 years ago
Three of these expressions are equal to the volume of the barn shown. Which expression is not?
timurjin [86]

The statement that does not match the others is the one at lower right.

_____

The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the <em>upper right</em> expression is a true represenation of the barn's volume:

... Volume of triangular prism + Volume of rectangular prism

The volume of a <em>rectangular prism</em> is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...

... Volume of rectangular prism = a·b·c

The volume of a <em>triangular prism</em> is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...

... Area of triangular barn end = (1/2)b(d-c)

Since the length of the barn is "a", the volume of the triangular prism is ...

... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)

The <em>total volume</em> is the sum of the volumes of the parts ...

... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the <em>upper right</em> selection

This can be factored by removing a·b to outside parentheses:

... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the <em>lower left</em> selection

___

Since the two left selections match the one at upper right, the odd one is the one at lower left.

7 0
3 years ago
Read 2 more answers
Fifteen chairs wee put into 3 rows of 5. Write an equation to show a relationship between the numbers.
Ivahew [28]

That relationship can be expressed by either of ...

  • 15 = 3 × 5
  • 15 = 5 × 3
3 0
3 years ago
Read 2 more answers
Pls help me with this question
maksim [4K]

top left

is not

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Need help ASAP!!!!!!!
natima [27]

Answer:

A

Step-by-step explanation:

You can subtract normally when the square roots are the same( like in your problem) but the squares stay they same and the numbers on the outside change.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Same value as 15% percent of 20
    6·1 answer
  • What is the mean of the data set?
    9·2 answers
  • Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14
    12·1 answer
  • (Quadratic Formula) (Irrational level 1)
    6·1 answer
  • Can someone help me?
    15·1 answer
  • Graph x &gt; -3x&gt;−3x, is greater than, minus, 3.
    15·1 answer
  • Moises ate 10% of the candies in the bag. If Moises ate 16 candies, how many candies were there total in the bag?
    5·1 answer
  • Which expression is equivalent to 9x2-2y+3x2-3y?
    7·2 answers
  • Please help me! 6y - 8x = 54
    10·2 answers
  • Please help will give brainliest (only 10.1)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!