The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point with coordinates given by
where is the first moment of <em>L</em> about the <em>x</em>-axis, is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of
Now we compute the first moment about the <em>y</em>-axis:
Then
but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had
and we get
The answer for the exercise shown above is the second option, the option B, which is: B. In step 3, the addition property of equality was applied incorrectly.
The explanation is:
To solve this problem you must apply the proccedure shown below:. You have the followinwg equation:
<span>
4(m-3)+5(m+2)=m+9
Let's review the steps:
4m-12+5m+10=m+9 (step 1)
9m-2=m+9 (step 2)
8m =7 (step 3) (There is a mistake, because: 9m-m=9+2</span>⇒8m=11)
<span> m=11/8 This should be the step 4</span>
Answer:$9504.80
Step-by-step explanation:
Every year, we have an increase of 9% interest. After two years, we will have 8000 * 1.09 ^2 = $9504.80
Answer:
Answer in picture
Step-by-step explanation:
Explanation in picture
Answer:
true i think
Step-by-step explanation: