The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
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Answer:
A
Step-by-step explanation:
Vertical angles are angles that are formed by 2 lines and are directly accross from each other. They do not share a ray, however they are always the same number of degrees.
so then the answer would be A, ∠ERT and ∠MRC since they are directly across from each other.
IL is a diameter, which is a straight line, which is equal to 180 degrees.
The arc of IL would be 180 degrees
You are told the arc of KL is 30 degrees.
The major arc of ILK would be 180 + 30 = 210 degrees.
The resulting expression on factorization by grouping method is (3-7x²)(x-3).
<h3>What is Factorization?</h3>
Factorization is a method in which an Integer or an expression is written in terms of product of its fractions.
The expression given in the question is
–7x³ + 21x² + 3x – 9
This equation has to be factorized using grouping method.
group of two or more is formed and common term is taken out.
-7x² (x -3) +3(x-3)
( -7x²+3) (x-3)
(3-7x²)(x-3)
The resulting expression on factorization by grouping method is
(3-7x²)(x-3).
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Is there supposed to be a picture because I dont see the angles?