In the diagram on a lunar eclipse if the positions of sun earth and moon are shown by (-4,6),(k,-2) and (5,-6) respectively then find the value of k
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Answered by
3
we need to find k when they are in lunar eclipse
(k+4)/-8 =9/-12
k+4=8/3
k=-4/3
sssvvheadgirl:
How?? Can you elaborate?????
If you send me a perfect answer I will mark your answer as the brainliest plsss
u want elaboration
actually, when it is in case of lunar eclipse, all sun, moon and earth lie on one straight line, which is the case of collinear
and in case of collinear, slope of any two is equal to any two
I hope this has helped u
Thanks...
Answered by
7
Answer:
Step-by-step explanation:
As they are in a eclipse therefore they lie on the same line which means they are collinear .
let A be ( -4,6) , B be (k,-2) and C be (5,-6)
ar(abc)= 1/2(-4(k-5)+k(-6-6)+5(6+2)
0=1/2(-4k+20-12k+40)
0=60-16k
16k=60
4k=15
k=15/4
I'm sorry but I applied the formula of the area of the triangle wrongly
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