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11Alexandr11 [23.1K]
3 years ago
10

What is the equation for a line that passes through the points (5,-4) and (-10,17

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( x_{1},y_{1} ) & ( x_{2}, y_{2}  )-

 y - y_{1}   = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}  ( x - x_{1}  )

i.e.  <em>y - (-4)= \frac{17 - (-4)}{-10 - 5}  ( x- 5)</em>

<em>      y + 4 = \frac{17 + 4}{ -15} ( x - 5)</em>

<em>      y + 4 = \frac{21}{-15}  ( x - 5 )</em>

<em>      ( y + 4)  =  \frac{7}{- 5} ( x - 5)</em>

<em>      5 (y + 4 ) = - 7 (x - 5 )</em>

<em>      5 y + 20 = -7 x + 35</em>

<em>      7 x + 5 y = 15</em>

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

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3 years ago
Two cards are randomly selected from an ordinary playing deck.
Anna007 [38]

Answer:

The required probability is 0.048

Step-by-step explanation:

Consider the provided information.

Out of 52 card we need to select only 2.

Therefore the sample space is: ^{52}C_2=1326

One card is Ace. The number of Ace are 4 and we need to select one of them.

This can be written as: ^4C_1=4

The second card can be Ten or a Jack or a Queen or a King.

There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.

So we can say that we need to select 1 card out of 16.

This can be written as: ^{16}C_1=16

Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:

P=\frac{16\times4}{1326}\approx0.048

Hence, the required probability is 0.048

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3 years ago
Please, help worth a lot of points.
sleet_krkn [62]
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6 0
3 years ago
Identify the graph of the inequality 2(2x-1)+7&lt;13 or-2x + 5≤-10.
xxMikexx [17]

Answer:

Step-by-step explanation:

2

(

2

x

−

1

)

+

7

<

13

Expand LHS

→

4

x

−

2

+

7

<

13

4

x

+

5

<

13

4

x

<

13

−

5

4

x

<

8

Divide through by

4

→

x

<

2

x

<

2

is represented on the real line by the interval

(

−

∞

,

2

)

This can be represented on the

x

y

−

plane by the area to the left of the vertical line

x

=

2

as graph below.

graph{2(2x-1)+7<13 [-10, 10, -5, 5]}

5 0
1 year ago
Which is a factor of x2 – 9x + 14?
PtichkaEL [24]

Answer:

(x-7)(x-2)

Step-by-step explanation:

what multiples to 14, but add to -9 ?

-7*-2 = 14

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8 0
3 years ago
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