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3 years ago

19. Which is the suitable identity used to evaluate 9992 ?

Mathematics

1 answer:

andrew11 [14]3 years ago

5 0

Answer:

I suppose you mean 999^2

(1000-1)^2

which comes under the identity

(a-b)^2=

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

hope this helps

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A rectangular area is to be enclosed using an existing

Vesnalui [34]

Answer:

$\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}$

Step-by-step explanation:

Let the one of the side lengths of the rectangle be $x$ and the other be $y$ .

We can write the following equations, where $x$ will be the side opposite to the wall:

$x+2y=100,\\xy=\text{Area}$

From the first equation, we can isolate $x=100-2y$ and substitute into the second equation:

$(100-2y)y=\text{Area},\\-2y^2+100=\text{Area}$

Therefore, the parabola $-2y^2+100y$ denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form $ax^2+bx+c$ is given by $\frac{-b}{2a}$ .

Therefore, the vertex is:

$\frac{-100}{2(-2)}=\frac{100}{4}=25$

Plug in $x=25$ to the equation to get the y-coordinate:

$-2(25^2)+100(25)=\boxed{1,250}$

Thus the vertex of the parabola is at $(25, 1250)$ . This tells us the following:

The maximum area occurs when one side (y) of the rectangle is equal to 25
The maximum area of the enclosure is 1,250 square meters
The other dimension, from $x+2y=100$ , must be $50$

And therefore, the desired answers are:

$\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}$

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Answer:

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Which method can't you use to solve x²+7x=0.

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Answer:

Factoring

Step-by-step explanation:

x^2 + 7x = x(x + 7) = 0

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The answer is this:

4 x 10 = 40 - 0.4 = 3.6

$3.60

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Read 2 more answers

Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each box had 10 crayons. How many crayons were left over

yarga [219]

230/10 = 23 with no remainder.
236/10 = 23 with remainder 6.
6 crayons were left over.

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4 years ago