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kati45 [8]
3 years ago
6

The width of a rectangle is 2cm less than its length. The perimeter of the rectangle is 16 cm.

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Let the  Length of the rectangle  = x

Width = x - 2

Perimeter = 16 cm

2 * ( length + width) = 16

2 * ( x + x-2 ) = 16

2 * (2x - 2) = 16

2x - 2 = 16 /2

2x - 2 = 8

2x  = 8+2

2x= 10

x = 10/2

x = 5

Length of the rectangle = 5 cm

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shutvik [7]
31/6 = 5 \frac{1}{6}. 
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Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)
Savatey [412]

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}

Where:

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We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

6 0
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Shane spends $2,000 each week for supplies and labor to run his car detailing business. He charges $30 for each car and $45 for
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Shane spends $2,000 each week for supplies and labor to run his car detailing business. This means that his total cost of running his car detailing business is $2000

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Answer:

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statuscvo [17]

Answer:

$1350

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6 0
3 years ago
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