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3 years ago

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Write and equation and show steps to find its length and width.

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

Answer:

length: 23 m; width: 11 m.

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:

l + w = 34

l - w = 12

Adding these together gives you ...

2l = 46

l = 23 . . . . . . divide by 2

Then the width is

w = 23 -12 = 11

The length and width are 23 m and 11 m, respectively.

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GarryVolchara [31]

Answer:

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Step-by-step explanation:

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$y = mx + b$

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3 years ago

The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the squar

Marta_Voda [28]

The production cost is an illustration of a quadratic function

<h3>How to determine the equation</h3>

We have the following parameters:

Computing components (a)
Number of devices (x),
Labor (b)
Savings on reusable material (c)

Using the instructions in the question, the equation of the production cost would be:

$y =ax^2 + bx -c$

Hence, the production cost is $y =ax^2 + bx -c$

<h3>Change the subject of the equation</h3>

In (a), we have:

$y =ax^2 + bx -c$

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Divide through by x^2

$a = \frac{y - bx + c}{x^2}$

Hence, the equation that represents the computing component is $a = \frac{y - bx + c}{x^2}$

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