12/13 I believe :) hope it helps
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:
2x + 6y ≤ 120
Step-by-step explanation:
From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.
Let
x = Number of sausage links
y = Number of Briskets
The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:
≤
Sausage links = 2 lb each
Briskets = 6 lb each
The inequality =
2lb × x + 6lb × y ≤ 120lb
2x + 6y ≤ 120
Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:
2x + 6y ≤ 120
Answer:
c
Step-by-step explanation:
Answer:
Container A i remember this question from years back
Step-by-step explanation:
