<span>22.5+7 (n-3.4)=19.8n
We simplify the equation to the form, which is simple to understand
<span>22.5+7(n-3.4)=19.8n
Reorder the terms in parentheses
<span>22.5+(+7n-23.8)=19.8n
Remove unnecessary parentheses
<span>+22.5+7n-23.8=+19.8n
We move all terms containing n to the left and all other terms to the right.
<span>+7n-19.8n=-22.5+23.8
We simplify left and right side of the equation.
<span><span>-12.8n=+1.3
</span>We divide both sides of the equation by -12.8 to get n.
<span>n=-0.1015625</span></span></span></span></span></span></span>
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
The first one is linear, the second one is not linear, and the third one is linear.
Step-by-step explanation:
Complements are numbers that add 90. Since one is 57, the other has to add to 57. So 33 would add with 57 to get 90.
M = 72
Your main goal in this equation is to isolate m or in other words leave m alone in one side of the equality.
All you need to do is multiply 4 in both sides for you to eliminate the denominator attached to m.
Saying this,
(M/4)(4) = (18)(4)
M = 72
