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
Yes the line of the first angle measured 50 is 60
Answer:
91 feet
Step-by-step explanation:
Substitute s = 2 into 155 - 16s^2.
155 - 16 * (2)^2
155 - 16 * 4
155 - 64
91 feet.
All you have to do is find the rule, the rule for this is 6 so just multiply 3 times 52 and add 19, your answer is 175
The answer is 50%.
Divide 2.25 by 1.50. That equals 1.5. That’s the equivalent to 50% because if you subtract 1 from 1.5 and multiply by 100. You get the same answer. Only do that for numbers greater than one, otherwise it won’t work
