Question

Help please?

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and IJ form a 2:3 ratio. He knows that the distance between the x-coordinates is 4 units. Which of the following fractions will let him find the x-coordinate for point K?

2 over 3
2 over 5
3 over 2
3 over 5

Answer 1

ok - suppose you had $10 and wanted to give it to 2 people in a ratio of 2:3

how would you divide it?

Answer 2

Im not sure ive never been good at ratios so i dont know

Answer 3

Ratios are about fractions

To get the fractions you ADD together the 2 numbers in the ratio - that gives you the denominator

If you want to divide $20 in a ration of 1:9 then add together the numbers

then the fractions are 1/10 and 9/10 to give the ratio

so $20 x 1/10 = $2
and $20 x 9/10 = $18 these are in ration 1:9

Answer 4

so to get the ratio 2:3

write the 2 fractions by adding the numbers for the denominator

Answer 5

would i add 4 to 2:3?

Answer 6

Have a look at what I did above

the ratio was 1:9 SO I ADDED 1+9 =10
The fractions were then 1/10 & 9/10

so do the same with the ratio 2:3

Answer 7

So it would be 2/5 and 3/5

Answer 8

yes - well done

one of those is in the answers....

Answer 9

would it be 2/5?

Answer 10

are you confident with that?
If so - go with it

Answer 11

I dont knwo. Im never confident with math

Answer 12

I guess ill go with it then thanks for your help