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3 years ago

A rectangle has a length that is 4 times the width, w. If the perimeter of the rectangle has a perimeter of 40

Mathematics

1 answer:

Zolol [24]3 years ago

5 0

Answer: 16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

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Cual es la simplificacion de 66/81

Karo-lina-s [1.5K]

Answer:

Hence the simplification of $\dfrac{66}{81}$ is $\dfrac{22}{27}$

Step-by-step explanation:

" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter),

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Here we are given a fraction as:

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3 years ago

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3 years ago

Read 2 more answers

2x^2=9-3x Find the factors

d1i1m1o1n [39]

Answer:

x = -3, $\frac{3}{2}$

Step-by-step explanation:

The given quadratic equation is: $2x^2 = 9 - 3x$

This can be written as: $2x^2 + 3x - 9 = 0$

To solve a quadratic equation of the form $ax^2 + bx + c = 0$ we use the formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)}$

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$\implies x = \frac{-3 \pm 9}{4}$

We get two values of 'x', viz.,

x = $\frac{-3 + 9}{4}$ and $\frac{- 3 - 9}{4}$

$\implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4}$

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $\frac{3}{2}$ ) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $\frac{3}{2}$ to see that this indeed is the given quadratic equation.

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