find the ratio in which the point p(-3,0) divides the line A(-5,-4) and B(-2,3). About the author Eva
Answer: Suppose the point P(−3,p) divides the line segment joining points A(−5,−4)≡(x 2 ,y 2 ) and B(−2,3)≡(x 1 ,y 1 ) in the ratio k:1. Section formula: [x=( m+n mx 1 +nx 2 )] and [y=( m+n my 1 +ny 2 )] Then, the coordinates of P are( k+1 −2k−5 k+1 3k−4 ) But, the coordinates of P are given as (−3,p). ∴ k+1 −2k−5 =−3and k+1 3k−4 =p ⇒−2k−5=−3k−3and k+1 3k−4 =p ⇒k=2andp= k+1 3k−4 ⇒k=2andp= 3 2 Hence, the ratio is 2:1 and p= 3 2 . Step-by-step explanation: I hope it is helpful pls MARK AS BRAINLIEST Give me thanks and rate the best Reply
Answer:
Suppose the point P(−3,p) divides the line segment joining points A(−5,−4)≡(x
2
,y
2
) and B(−2,3)≡(x
1
,y
1
) in the ratio k:1.
Section formula: [x=(
m+n
mx
1
+nx
2
)] and [y=(
m+n
my
1
+ny
2
)]
Then, the coordinates of P are(
k+1
−2k−5
k+1
3k−4
)
But, the coordinates of P are given as (−3,p).
∴
k+1
−2k−5
=−3and
k+1
3k−4
=p
⇒−2k−5=−3k−3and
k+1
3k−4
=p
⇒k=2andp=
k+1
3k−4
⇒k=2andp=
3
2
Hence, the ratio is 2:1 and p=
3
2
.
Step-by-step explanation:
I hope it is helpful
pls MARK AS BRAINLIEST
Give me thanks and rate the best