From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
Learn more about the factoring here:
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The answer would be 17.
This is because, the format for finding out the hypotenuse of a triangle is--
a^2 + b^2 = c^2
So, it would translate to--
15^2 + 8^2 = c^2
225 + 64 = 289
Because 289 = c^2, you need to take the square root of it.
The square root of 289 is 17.
Therefore, your answer is 17.
Tomato juice 237.5 / 5.5 = 45 mg
Grape juice 258 / 3 = 86 mg
Answer:
A
Step-by-step explanation:
you multiply the numbers and add the variables
Consistient means they have countable number of solutions (example, a point, not a line since lines are infinite)
inconsitient means they have no solutions (no points of intersection)
dependent means that they have infinite solutions (most likely becasue they are the same equaiton)
6x-2y=10
9x-3y=9
divide first equation by 2
3x-y=5
multipliy by -3
-9x+3y=15
add to second equation
-9x+3y=15
<u> 9x-3y=8 +</u>
0x+0y=23
0=23
fales
therfor it is inconsistient
