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Sonbull [250]
3 years ago
13

The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Mathematics
2 answers:
maria [59]3 years ago
6 0

Answer:

<em>Width of the rectangle is </em><em>(x-5) </em>

Step-by-step explanation:

We know that, the product of length and width gives the area of the rectangle.

The area of a rectangle is given as,

\Rightarrow \text{Area of rectangle}=\text{Length}\times \text{Width}

\Rightarrow \text{Width}=\dfrac{\text{Area of rectangle}}{\text{Length}}

Factoring the area,

=x^2-2x-15

=x^2-5x+3x-15

=x(x-5)+3(x-5)

=(x+3)(x-5)

Putting it in the equation,

\Rightarrow \text{Width}=\dfrac{(x+3)(x-5)}{(x+3)}=(x-5)

Vesnalui [34]3 years ago
3 0
Area of the rectangle= L* w
x^{2} -2x-15
On expanding;
x^{2} -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)
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Answer:

Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

Step-by-step explanation:

Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.

Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.

El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.

Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:

múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50

Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que <u><em>los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.</em></u>

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The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac
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Answer:

  • 45 and 72

Step-by-step explanation:

Let the ages be r and m

<u>We have:</u>

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<u>Substitute m in the second equation and solve for r:</u>

  • m = 117 - r
  • 5r = 9 + 3( 117 - r)
  • 5r = 9 + 351 - 3r
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3 years ago
"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota
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Answer:

This is the Law of <u>large</u> Numbers.

Step-by-step explanation:

The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.

That is, as <em>n</em> → ∞ the value of \bar x → μ.

For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.

To check this perform an experiment whether the coin is tossed 20 times.

The probability of heads will be somewhere near 0.50.

Now toss the coins 50 times.

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Now toss the coins 100 times.

The probability of heads will be approximately equal to 0.50.

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Thus, the complete statement is:

This is the Law of <u>large</u> Numbers.

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