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masha68 [24]
2 years ago
10

Expand the following: a)2(x + 3)

Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer:

<h2><u>2x+6</u></h2>

Step-by-step explanation:

2(x+3)

=(2)(x+3)

=(2)(x)+(2)(3)

=2x+6

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QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
What is 9/16 closest to 0,1/2, or 1 and why?
Lady_Fox [76]
1/2, because 9/16 is closer to 8/16 which reduces to 1/2. It is not as close to 0/16 (0) or 16/16 (1)
7 0
3 years ago
Pleas help meeeeeeeeeeeeeeeeeee
lisabon 2012 [21]

Answer:

.

Step-by-step explanation:

.

4 0
3 years ago
Shanelle invested $10,000, and at the end of 1 year, she received $805 in interest. She invested part of the money in an account
andrew-mc [135]
10$ because i worked it out and valedictorian in my math class so listen to me yeah
8 0
3 years ago
I really need help.the directions is to find the value for b
Vikentia [17]

Answer:

Step-by-step explanation:

243+94+b=360

            b=360-337

              =23

4 0
3 years ago
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