What is the equation for a line that passes through the points (5,-4) and (-10,17
1 answer:
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
( ) & (
)-
y - =
( x -
)
i.e. <em>y - (-4)= ( x- 5)</em>
<em> y + 4 = ( x - 5)</em>
<em> y + 4 = ( x - 5 )</em>
<em> ( y + 4) = ( 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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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:
One card is Ace. The number of Ace are 4 and we need to select one of them.
This can be written as:
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:
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:
Hence, the required probability is 0.048