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:
<h2>x-intercepts:</h2><h2>x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).</h2>
Step-by-step explanation:
Answer:
3/15= 1/5 That's the answer
Answer:
8w = 3.5gal
Step-by-step explanation:
1 gal = 16c
0.5gal = 8c
W = 7
8w = 3.5gal
Answer:
Step-by-step explanation:
let y=f(x)
y=10x-10
flip x and y
x=10y-10
10 y=x+10
