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Helga [31]
3 years ago
12

A square picture frame occupies an area of 112 ft2 . What is the length of each side of the picture in simplified radical form?

Show your work
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0
It would be 28 because you have to divide 112 into 4, because the picture is a square(most likely) so its sides are all equal
Kazeer [188]3 years ago
5 0
A = a^2
112 = a^2
sqrt 112 = a
sqrt 16 * sqrt 7 = a
4 sqrt 7 = a

so 4 sqrt 7 is the length of each side
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Jessie = Todd + 6
Todd = Ryan -2

if Ryan = r
so Todd = r-2
then Jessie = (r-2) + 6 = r-4 years old
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A car rental agency advertised renting a car for $ 27.95$27.95 per day and $ 0.27$0.27 per mile. if trevortrevor rents this car
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Provided his $100 budget is for millage only
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Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is propor
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Answer:

A

Step-by-step explanation:

8 0
3 years ago
2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
1 year ago
For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se
Andrew [12]

Answer:

(a)n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b)n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c)n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

Step-by-step explanation:

(a) This is a sequence of consecutive number

n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c) This is factorial sequence. Where the next number is this number multiplied by n^{th}

n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

5 0
3 years ago
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