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gogolik [260]
3 years ago
7

What is the length of side x?

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

In a 30-60-90 triangle the side between 60 and 90 degree angle is  a, the side between 30 and 90 degree angle is  a√3, and the hypotenuse is 2*a.

Given that the side that is supposed to be  a is currently √3, we know that the missing side x must be:

a√3    (We know that a, in this case, is √3, so substitute)

x = (√3) * (√3)

x = 3

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Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

​

 

+3x

2

−8x

2

​

 

+5x

−5x

​

 

−4

+6)

​

​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

​

 

+3x

2

+8x

2

+11x

2

​

 

+5x

+5x

+10x

​

 

−4

–6

−10

​

​

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

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3 years ago
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It will take them a total of 3.07 hours.
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SVETLANKA909090 [29]

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Step-by-step explanation:

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This exercise examines the accuracy of various branch predictors for the following repeating pattern (e.g., in a loop) of branch
CaHeK987 [17]

Answer:

attached below is the missing part of the question and the solution

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B) 25%

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Step-by-step explanation:

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The accuracy of always -not-taken for this sequence of branch outcomes = 40%

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5 0
4 years ago
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