Answer:
The ordered pair solution is (-2,2)
Step-by-step explanation:
Here, we want to get the ordered pair solution to the system of linear equations
From the first equation, we can have it that;
-2x = 16-6y
Now, we can substitute this into the second equation as follows;
From; -4x -3y = 2
2(-2x) - 3y = 2
2(16-6y) - 3y = 2
32 - 12y - 3y = 2
32-15y = 2
-15y = 2-32
-15y = -30
y = -30/-15
y = 2
Recall;
-2x + 6y = 16
substitute for the value of y
-2x + 6(2) = 16
-2x + 12 = 16
-2x = 16-12
-2x = 4
x = 4/-2
x = -2
Answer:
1/5525
Step-by-step explanation:
We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs. We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.
Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is
(4/52)(3/51)(2/50)=
24/132600=
12/66300=
6/33150=
3/16575=
1/5525
Answer:
zero property of addition
Step-by-step explanation:
m=-(5/4)
From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.
The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.
In every slope, there’s a numerator, being the rise, and a denominator, being the run.
To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.
To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.
With these two numbers and the negative sign, we get -(5/4) as our slope.
