Answer:
x = 5/2
Step-by-step explanation:
So firstly, you want to distribute. It'll make your life much easier.
-2x + 8 = 3
-2x = -5 (subtracting 8 from both sides)
x = 5/2 (dividing both sides by -2 to obtain x)
Hope this helps :)
Answer:
I think the house would now costs $85,000
Step-by-step explanation:
First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.
Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.
Then, I multiplied 325 by 200 to get 65,000
Finally, I added 20,000 to 65,000 to get 85,000
So, I guess/answer is $85,000
If I was wrong, then just say, "Sorry, but that was incorrect."
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).
30in I know that because I just did this .this is EASY!
