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Contact [7]
3 years ago
9

On a parallelogram, the vector from one vertex to another vertex is (9,-2). What is the length of the side?

Mathematics
2 answers:
denis-greek [22]3 years ago
7 0

Answer:

The length of the side of the parallelogram is \sqrt{85}.

Step-by-step explanation:

It is given that the vector from one vertex to another vertex is (9,-2), thus we can write it in the vector from that is v=9\hat{i}+(-2)\hat{j} and let the another vertex is adjacent to it.

Now, in order to find the length of the side of the parallelogram, we use the absolute modulus that is |v|=\sqrt{a^{2}+b^{2}}.

Now, since v=(9,-2), thus |v|=\sqrt{(9)^{2}+(-2)^{2}}

=\sqrt{81+4}

=\sqrt{85}

Thus, the length of the side of the parallelogram is \sqrt{85}.

sertanlavr [38]3 years ago
6 0

Answer:  Second Option is correct.

Step-by-step explanation:

Since we have given that

In a parallelogram, the vector from one vertex to another vertex is (9,-2)

So, the co-ordinate of first vertex will be (9,0).

And the coordinate of second vertex will be (0,-2).

As we know the formula for "Distance between two coordinates":

So, The length of the side is given by

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(9-0)^2+(0-(-2))^2}\\\\Distance=\sqrt{9^2+2^2}\\\\Distance=\sqrt{81+4}\\\\Distance=\sqrt{85}

Hence, Second Option is correct.

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This is an arithmetic series.

3 , 5 , 7 ,......

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\dfrac{-1}{6}

Step-by-step explanation:

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Step 2: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the function

= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\

Step 3: substitute x = 0 into the resulting function

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Step 4: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2

= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\

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