The requried expression x²+3x-4/x+4 simplifies to x - 1.
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
We can simplify the expression as follows:
[x²+3x-4]/x+4 = (x+4)(x-1)/(x+4)
(Factor the numerator as a product of two binomials: x^2 + 3x - 4 = (x+4)(x-1))
Cancel the common factor of (x+4) in the numerator and denominator, leaving:
= x - 1
Therefore, x²+3x-4/x+4 simplifies to x - 1.
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1/(x+1) I researched and this is what I found
Answer:
6
Step-by-step explanation:
Tanx =opposite/adjacent
tanx=6/1=6
8u + 9v + 3u -5v can be simplified as 11u + 4v.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given expression
8u + 9v + 3u - 5v
Adding like terms
= 11u + 4v
Hence, 11u + 4v is simplified form of expression 8u + 9v + 3u -5v.
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The areas of the three rectangles in the decomposed figure are 8 in², 13 in², and 6 in², respectively, whereas the total area of the composite figure is 27.0 square units.
First, we need to calculate the area of each rectangle separately. The area of a rectangle can be found using the formula Length x Width.
For the first rectangle, with dimensions of 4 units by 2 units, we multiply 4 by 2 which gives us an area of 8 square units.
Similarly, for the second rectangle, having dimensions of 6.5 units by 2 units, multiplying 6.5 by 2 gives us an area of 13.0 square units.
Lastly, for the third rectangle with dimensions 4 units by 1.5 units, multiplying 4 by 1.5 gives us an area of 6.0 square units.
After finding the area of all three rectangles individually, we add them all up to get the total area of the composite figure. Hence, the total area is 8 + 13.0 + 6.0 = 27.0 square units.
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Answer:
27 in³
Step-by-step explanation:
4 × 2 = 8 in²
6.5 × 2 = 13 in²
4 × 1.5 = 6 in²
Total area = 8 + 13 + 6
27 in²
What is the value of a?