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Answers
Answer:
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Explanation:
(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)
So,
a=
2
10+k
and b=
2
−6+4
=−1
It is given that,
a−2b=18
Put b=−1
a−2(−1)=18
a=18−2=16
Now,
a=
2
10+k
16=
2
10+k
k+10=32
k=22
Distance between the points (x
1
,y
1
) and (x
2
,y
2
) is
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Distance between the points (10,−6) and (22,4) is
(22−10)
2
+(4+6)
2
=
244
=2
61
Point M is the midpoint of a segment AB, If AB =8 then find the length of AM.2) 'M' is the midpoint segment AB AB=18 then
Find AN=...(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)
So,
a=
2
10+k
and b=
2
−6+4
=−1
It is given that,
a−2b=18
Put b=−1
a−2(−1)=18
a=18−2=16
Now,
a=
2
10+k
16=
2
10+k
k+10=32
k=22
Distance between the points (x
1
,y
1
) and (x
2
,y
2
) is
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Distance between the points (10,−6) and (22,4) is
(22−10)
2
+(4+6)
2
=
244
=2
61
2) 'M' is the midpoint segment AB AB=18 then
Find AN=...Point M is the midpoint of a segment AB, If AB =8 then find the length of AM.We have l(AB) = 8. So, length of AM is 4.(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)
So,
a=
2
10+k
and b=
2
−6+4
=−1
It is given that,
a−2b=18
Put b=−1
a−2(−1)=18
a=18−2=16
Now,
a=
2
10+k
16=
2
10+k
k+10=32
k=22
Distance between the points (x
1
,y
1
) and (x
2
,y
2
) is
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Distance between the points (10,−6) and (22,4) is
(22−10)
2
+(4+6)
2
=
244
=2
61
2) 'M' is the midpoint segment AB AB=18 then
Find AN=...Point M is the midpoint of a segment AB, If AB =8 then find the length of AM.