Answer: 29 feet from across the kitchen to one hole to the other.
The expression x( x - 4 ) when expanded is x² - 4x
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
When a bracket is expanded, each term is multiplied by the expression outside of the bracket.
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Consider the expression,
x( x - 4 )
Let us assume y = x( x - 4 )
Using the distributive property, a( b + c ) = ab + ac
y = x( x - 4 )
y = x · x - x · 4
y = x² - 4x
Therefore, x( x - 4 ) = x² - 4x
Therefore, the expression when expanded is x² - 4x.
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Answer: 15.6 m
Step-by-step explanation:
Two legs of right angle in right triangle given are 12m and 10m.
For the third side use Pythagoras theorem:
C^2= a^2+b^2
C=√[(12^2)+(10^2)]
C=√[144+100]
C=√[244]= 15.6 m
Pythagoras theorem - The length of the third side is 6.71unit
What is Pythagoras theorem ?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The Pythagoras theorem's equation is as follows:
H² = P² + B²
The triangle's third side will be the following length:
Let x represent the triangle's third side's length.
9² = 6² + x²
81 = 36 + x²
x² = 45
x = 6.708
x = 6.71 units
Hence, the third side of the triangle is 6.71unit
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