Answer:
0
Step-by-step explanation:
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
C doesn’t belong because it has rounded edges. all the other options have vertices
Answer: Circle N had a translation of 1 unit right.
Step-by-step explanation:
Answer:
91 child tickets were sold
Step-by-step explanation:
Let c represent the number of child tickets sold. Then the number of adult tickets sold is (150-c) and the total revenue is ...
5.20c +8.70(150-c) = 986.50
-3.50c +1305 = 986.50 . . . . simplify
-3.50c = -318.50 . . . . . subtract 1305
c = -381.50/-3.50 = 91
The number of child tickets sold that day was 91.
