L = 3 + 2w

Find the width
Area = 54
l × w = 54
(3 + 2w) × w = 54
3w + 2w^2 = 54
2w^2 + 3w - 54 = 0
(2w - 9)(w + 6) = 0
w = 9/2 or w = -6 (width shouldn't be negative)
w = 9/2
w = 4.5 m

Find the length
l = 3 + 2w
l = 3 + 2(4.5)
l = 3 + 9
l = 12 m

The width is 4.5 m, the length is 12 m

6 0

4 years ago

Please answer this and will marked as brainlist

xeze [42]

<h3>Answer: 1</h3>

where x is nonzero

=======================================================

Explanation:

We'll use two rules here

(a^b)^c = a^(b*c) ... multiply exponents
a^b*a^c = a^(b+c) ... add exponents

------------------------------

The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.

Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)

-------------------------------

After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)

Add up those exponents (using rule 2 above) and we get

(a^2-b^2)+(b^2-c^2)+(c^2-a^2)

a^2-b^2+b^2-c^2+c^2-a^2

(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)

0a^2 + 0b^2 + 0c^2

0+0+0

All three exponents add to 0. As long as x is nonzero, then x^0 = 1

4 0

3 years ago

Use the matrix tool to solve the system of equations. Choose the correct ordered pair.3x + 5y = 42 6x + 5y = 54

kobusy [5.1K]

Solutions

In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.

Calculations

⇒ Rewrite the linear equations above as a matrix

$\left[\begin{array}{ccc}3&5&42\\6&5&54\\\end{array}\right]$

⇒ Apply to Row₂ : Row₂ - 2 Row₁

$\left[\begin{array}{ccc}3&5&42\\0&-5&-30\\\end{array}\right]$

⇒ Simplify rows

$\left[\begin{array}{ccc}3&5&42\\0&1&6\\\end{array}\right]$

Note: The matrix is now in echelon form.
The steps below are for back substitution.

⇒ Apply to Row₁ : Row₁ - 5 Row₂

$\left[\begin{array}{ccc}3&0&12\\0&1&6\\\end{array}\right]$

⇒ Simplify rows

$\left[\begin{array}{ccc}1&0&4\\0&1&6\\\end{array}\right]$

⇒ Therefore,

$x=4

y = 6$

5 0

3 years ago

a family originally bought a home for $273,830. Now the home’s value is 30% higher than that. What is the value of the home now?

gavmur [86]

$355,394

100% +30% = 130% = 1.3

5 0

3 years ago

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