If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height?

Answers

Answer 1

Answer:

$\bf \textit{volume of a rectangular prism}\n\n V=Lwh~~ \begin{cases} L=length\n w=width\n h=height\n \cline{1-1} V=6x^2-2x+8\n \stackrel{base}{Lw}=2x-4 \end{cases}\implies 6x^2-2x+8=(2x-4)h \n\n\n \cfrac{6x^2-2x+8}{2x-4}=h\implies \cfrac{\begin{matrix} 2 \n[-0.7em]\cline{1-1}\n[-5pt]\end{matrix}~~(3x^2-x+4)}{\begin{matrix} 2 \n[-0.7em]\cline{1-1}\n[-5pt]\end{matrix}~~(x-2)}=h\implies \cfrac{3x^2-x+4}{x-2}=h$

Related Questions

How do you convert 15 feet to centimeters?
Write 3.2x10 square (-5) in standered form
What is -3/5 x 5/16 x 7/12 ➗-3/16 x -5/7?
What is the missing value for blank x1/10 =0.026
In the workbench drawer, the ratio of hex bolts to all bolts is 0.26. Write the ratio as a fraction in simplest form. As a fraction, the ratio of hex bolts to all bolts is

The value of m in the equation 9m-4=-18+2m

Answers

9m - 4 = -18 + 2m

First, we transfer 2m to the other sideand change operation from positive to negative. We also do the same for -4 andchange operation from negative to positive in order to solve this equation.

9m - 2m =-18 + 4

Next we simplysubtract and add from left to right, respectively.

7m = -14

Then, we can now findm by dividing both sides with 7…

7m/7 =-14/7

We’ve arrived at the answer!

m = -2

Checking:

9(-2) - 4= -18 + 2(-2)
-18 - 4 =-18 - 4
-14 = -14

I hopethis helps. :)

If you would like to know what is the value of m in the equation 9 * m - 4 = - 18 + 2 * m, you can calculate this using the following steps:

9 * m - 4 = - 18 + 2 * m
9 * m - 2 * m = - 18 + 4
7 * m = - 14 /7
m = - 14 / 7
m = - 2

The correct result would be - 2.

Segment addition postulate. Trying to help my son figure out how to solve. Given AC=39. A=2x-8, B=x×17. Find X, AB AND BC. We got 25 for X, and 42 for both AB, BC. Its not correct. 42+42 does not equal 39.

Answers

segment addition postulate says
AB+BC=AC

assuming that A, B, C are in order, and assuming that those are the points,

legnth of AC=|A-C|=39 (|x| means absolute value of x)

A=2x-8
b=17x
AB=|A-B|=|2x-8-17x|=|-8-15x|

we are only given AB but not BC so this is not solvable unless you know BC
AB+BC=AC
BC=AC-AB

BC=39-|-8-15x|
that's as far as I can go since we don't know any more

Use multiplication to solve the proportion
35/28 = n/12

Answers

Answer:

n=15, 35/28=15/12

Step-by-step explanation:

28/12=2.33

35/2.33= 15

One-half of a number is 1 more than one-third of the same number. What is the number?

Answers

Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6

(1/2)x = (1/3)x +1
-(1/3)x -(1/3)x

(1/6)x=1
*6 *6
x=6

And so x=6, or your number is 6

Multiply. State any excluded values.

Answers

The answer is D. -2 is an excluded value, because when you simplify the expression, you get -3q - 6 on the bottom. You can't divide by zero, and if q was -2, you would be doing so, so the answer is D.

$(q + 5)/(-3) * (-3q)/(q + 2) = (q + 5)/(1) * (q)/(q + 2) = (q^(2) + 5q)/(q + 2)$

The answer is D.

Daily reminder that you are beautiful INSIDE & OUT! You got this! Comment one thing you’re most proud of!

Answers

I’m proud of Everything

Answer:

i am proud of how large the meat between my legs is

Step-by-step explanation:

Other Questions

Write 7 billion as a number in standard form. That's the question for my homework but I'm unsure what it is plz help me!

Find the markup and the selling price of the following item. Round answers to the nearest cent. A chemistry set costing $27.50, marked up 32% on cost.

I have 8 flavors of ice cream and 4 different toppings. How many different ice cream sundaes can I make if I choose one flavor of ice cream and only one topping?

A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P (red or blue)A.) 2/3B.) 5/8C.) None are correctD.) 3/4