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Artyom0805 [142]
4 years ago
14

+ 2" alt="6 = \frac{a}{4} + 2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
kvv77 [185]4 years ago
5 0

Multiply by 4 on both sides. This results into:

24 = a + 8

If 8 is substracted in both sides then a would be:

16 = a

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Find the angle between vector u=2i+sqrt(11)j and v=-3i-2j to the nearest degree
const2013 [10]

Answer: Last option 155°

Step-by-step explanation:

We have the components of the vectors u and v.

Then, to find the angle between them, perform the following steps:

1) Calculate the scalar product u * v

If u = 2i + \sqrt{11}j  and v = -3i-2j

Then, the product scalar u * v is:

u * v = (2)(-3) + (\sqrt{11})(-2)

u * v = -6-2\sqrt{11}

u * v = -12.633

2) Calculation of the magnitude of both vectors.

| u | = \sqrt{(2) ^ 2 + (\sqrt{11})^2}\\\\| u | = \sqrt{4+11}\\\\| u | = \sqrt{15}

| v | = \sqrt{(- 3) ^ 2 + (- 2) ^ 2}\\\\| v | = \sqrt{9 +4}\\\\| v | = \sqrt{13}

3) Now that you know the product point between the two vectors and the magnitude of each, then use the following formula to find an angle

u * v = | u || v |cos(\alpha)

-12.633 = \sqrt{15}\sqrt{13}*cos(\alpha)\\\\cos(\alpha) = \frac{-12.633}{\sqrt{15}\sqrt{13}}\\\\arcos(\frac{-12.633}{\sqrt{15}\sqrt{13}}) = \alpha\\\\\alpha =155\°

7 0
4 years ago
Can you pleaseee help meee
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Write an expression that is equivalent to (-16)^-2
raketka [301]

Answer:

1/256

Step-by-step explanation:

(-16)^-2

= 1/(-16)^2

= 1/ (-16· -16)

= 1/ 256

8 0
3 years ago
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