9514 1404 393
Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
Answer:
x = 1/2
Step-by-step explanation:
x^3 = 1/8
Take the cube root of each side
x^3 ^ (1/3) = (1/8)^ (1/3)
Rewriting 8 as 2^3
x^3 ^ (1/3) = (1/2^3)^ (1/3)
x = 1/2
Answer:
:)
Step-by-step explanation:
300/60%=180
Hey there!
This may seem pretty scary because, duh, fractions, big numbers, MATH.
However, you've just got to break it down.
So first, we find out how many students BRING lunch.
To find 1/3 of 900, you just multiply 900 by 1/3.
BUT WE CAN SIMPLIFY: to 300/1 times 1/1, which is 300/1.
So 300 people BRING lunch.
Now, to find people who BUY lunch, you just subtract the number of people who bring lunch by the total number of people.
900
-300
600
So 600 people BUY lunch.
All that's left to do is turn all these numbers into a ratio.
Easy peasy: put 300 and 600 like a fraction, like so:

Hope this helped! ;)