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3 years ago

Can someone help me with #1 and #2 please!

Mathematics

2 answers:

arlik [135]3 years ago

6 0

The game is fair because its the same amount of possible outcomes for both participants

Brilliant_brown [7]3 years ago

4 0

The first one is fair and the second one is fair as well

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3 years ago

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3 years ago

Find the coordinates of the point which divides the join of (-1,7) and (4.-3) in the ratio 2:3 ??

d1i1m1o1n [39]

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,

Where,

$m_1$ = 2 , $m_2$ = 3

$x_1$ = -1 , $x_2$ = 4

$\therefore$ Putting values we get,

x = $\frac{2 \: × \: 4 \: + \: 3 \: × \: -1}{2 \: + \: 3}$

x = $\frac{8 \: - \: 3}{5}$

x = $\frac{5}{5}$

x = 1

Now,

Finding y

Where,

$m_1$ = 2 , $m_2$ = 3

$x_1$ = 7 , $x_2$ = -3

$\therefore$ Putting values we get,

y = $\frac{2 \: × \: -3 \: + \: 3 \: × \: 7}{2 \: + \: 3}$

y = $\frac{-6 \: + \: 21}{5}$

y = $\frac{15}{5}$

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>

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<u>N</u><u>o</u><u>t</u><u>e</u>:- Refer the attachment.

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3 years ago