For all nonzero real numbers p, t, x, and y such that x/y = 3p/2t, which of the following expressions is equivalent to t ?
1 answer:
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<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h2>
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Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
<h2><u>Solution</u>:-</h2>Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
<h3>Where,
= 2 ,
= 3
= -1 ,
= 4
Putting values we get,
x =
x =
x =
x = 1
Now,
Finding y
<h3>Where,
= 2 ,
= 3
= 7 ,
= -3
Putting values we get,
y =
y =
y =
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
<h3>The coordinates of the point is P(1, 3). [Answer]</h3>_______________________________________
<u>N</u><u>o</u><u>t</u><u>e</u>:- Refer the attachment.
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