Answer:
The area of rectangle is 98 ft.sq.
Step-by-step explanation:
We are given one length of a rectangular garden lies along a patio wall.
Let the width of garden be x
Length of garden = Twice its width=2x
Length garden enclosed by fencing =l+2b=2x+2x= 4x
We are given that the rest of the garden is enclosed by 28 feet of fencing.
So,4x=28
x=7
Width of garden = 7 feet
length of garden = 2x=2(7)=14 feet
Area of garden = 
Hence The area of rectangle is 98 ft.sq.
Answer:
43,200 serial numbers can be generated
Step-by-step explanation:
The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

How many serial numbers can be generated
3 letters, from the first five of the alphabet
3 digits, from a set of 10
So

43,200 serial numbers can be generated
The slope of 2x - y = 9 is 2x
Answer:
hexagon
Step-by-step explanation:
it has 6 sides making it a hexagon
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Example: x²+3x+5 is a polynomial.
The polynomial whose factors are (a²-6) and (a²+4) is,
P(x) = (a²-6)(a²+4)
= a⁴ + 4a² - 6a² - 24
= a⁴ - 2a² - 24
Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
Learn more about Polynomials:
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