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
juin [17]
4 years ago
15

a rectangle prism has a volume of 3x^2 + 18x+ 24. its base has a length of x + 2 and width of 3, what expression represents the

height of the prism
Mathematics
1 answer:
OlgaM077 [116]4 years ago
6 0
\bf \textit{volume of a rectangular prism}\\\\
V=lwh\qquad 
\begin{cases}
l=x+2\\
w=3\\
V=3x^2 + 18x+ 24
\end{cases}\implies \cfrac{V}{lw}=h
\\\\\\
\cfrac{3x^2 + 18x+ 24}{3(x+2)}=h\implies \cfrac{\underline{3}(x^2 + 6x+ 8)}{\underline{3}(x+2)}=h
\\\\\\
\cfrac{(x+4)\underline{(x+2)}}{\underline{(x+2)}}=h\implies x+4=h
You might be interested in
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
solmaris [256]

The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.

<h3>What is a quadratic equation?</h3>

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The expression is x² + x.

Then the constant should be added to form a perfect square trinomial.

Then the constant will be

The square of the half of the coefficient of the variable x is to be added to make a perfect square.

Then the constant will be 1/4.

Then the perfect square will be

\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ1

4 0
3 years ago
URGENT PLEASE HELP
Inga [223]

Answer:

y = - \frac{1}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, hence

y = - \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - \frac{1}{3} x + 2 ← equation of perpendicular line

4 0
3 years ago
Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
cupoosta [38]

\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

3 0
2 years ago
All Philippines Tamaraw are Mammals <br> What is the statements
Rasek [7]

Answer:

The tamaraw or Mindoro dwarf buffalo (Bubalus mindorensis) is a small hoofed mammal belonging to the family Bovidae. It is endemic to the island of Mindoro in the Philippines, and is the only endemic Philippine bovine.

7 0
2 years ago
Please help answer this :)
jolli1 [7]

Answer:

ok

Step-by-step explanation:

yeah

8 0
3 years ago
Other questions:
  • Help me please,Thanks
    6·2 answers
  • What represents the # of protons in a nucleus of an atom
    7·1 answer
  • 20 POINTS PLEASE HELP QUICKLY!!
    6·1 answer
  • Using the triangle shown below, which statement is not true?
    9·1 answer
  • 3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together
    9·1 answer
  • Matt is going to see a hockey game. His ticket cost $25 plus he will pay $3 per food or drink item that he buys from the concess
    10·1 answer
  • Look!! I need the answer asap, please!<br> <img src="https://tex.z-dn.net/?f=%5Cbf%20x%2B38%3D-25" id="TexFormula1" title="\bf x
    15·1 answer
  • A grocery store can purchase Sugar Specks cereal for $2.00 per box. If the store marks the cereal up by 5%, what will it sell ea
    8·2 answers
  • 8x -(-5) = 29 To make the equation true, what is the value of x?
    8·2 answers
  • An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!