Is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that P

Question

AlekseyPX

3 years ago

5

Is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that P

oint X, with a coordinate of (6,6), divides in a 1:2 ratio?
\

Mathematics

2 answers:

hichkok12 [17] · Answer 1 · 2022-05-10T19:14:13+03:00

Answer:

Step-by-step explanation:

is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in a 1:2 ratio?

Since the ratio has to be 1: 2 which corresponds to 0.5, this means that we have to find a value for X that satisfies the condition given by the problem. So X/AB is 0.5

so ......

x = 6 since the segment has a leght of 12 = (14-2)

then .....

x/12=0.5

6/12=0.5

aleksley [76] · Answer 2 · 2022-05-10T17:04:05+03:00

You can verify that Point X, with coordinate of (6,6) divides in a 1:2 ratio by finding the distance between points A and B. Doing so, you will find that the distance between points A and B is equal to 12, so 6 is half of 12. Therefore, the point (6,6) or X is halfway between points A and B(12), making the ratio 6:12 or simplified to 1:2.