Start by looking at the components of the line, basically the legs if you were to make it a right triangle.
components = < x1 - x2, y1 - y2 >
< 10-5 , 12-4 > = < 5 , 8 >
So the line starts at A and goes right 5 then up 8 to point B.
We need a point 3:1 distance which means that if X is our new point, length AX is 3 times length of XB.
3+1 = 4 parts total
Point X will be 3/4 distance
3/4 the components
< 5(3/4) , 8(3/4) > = < 15/4 , 6 >
Add these to point A to go right and up to the new point X.
(5 + 15/4 , 4 + 6) = (35/4 , 10)
35/4 = 8 3/4
so the first one is correct.
Answer:
Every one out of 125 people got a mild allergic reaction or 0.8%
Step-by-step explanation:
64/8000 simplified by 8 is 8/1000 simplified by 4 is 2/250 simplified by 2 is 1/125
Answer:
24
Step-by-step explanation:
0.2 * 120 = 24
also, 120% of 20 = 24
Answer:
x·0.29
Step-by-step explanation:
I got this answer by making a variable, x, for the number of bananas you are buying. You can use this expression for whatever number of bananas you want and it will work.
Answer:
C) In step 3, he should have determined which square is closest to 18.
Step-by-step explanation:
17.64 also rounds to 18. 17.64 differs from 18 by ...
18 -17.64 = 0.36
whereas 18.49 differs from 18 by ...
18.49 -18 = 0.49
Hence 17.64 is closer to 18 and we might expect 4.2 to be closer to √18 than is 4.3.
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The actual root of 18 is about 4.243, so 4.2 is a better approximation.