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mylen [45]
2 years ago
12

What is the ordered pair for k?

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

Answer:

(4, -5)

Step-by-step explanation:

Start from the origin, (0, 0). Go 4 units right and 5 units down.

K(4, -5)

Varvara68 [4.7K]2 years ago
4 0

Answer: (-5,4), or -5/4.

This answer should help you!




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Which statement is true?<br><br> −6.5=6.55<br> −6.5≥6.55<br> −6.5&gt;6.55<br> −6.5&lt;6.55
posledela

Answer: 6.5<6.55

Step-by-step explanation: Because you add the zero to the 6.50 but it’s still less than 6.55.

3 0
2 years ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
2 years ago
Find the equation of the line by given two points (-5, -2) and (1, 5). Slope
docker41 [41]

Answer:

The equation of the line is 6y = 7x + 23

Step-by-step explanation:

We begin by calculating the slope of the line;

mathematically, the slope is given by;

m = (y2-y1)/(x2-x1)

That would be;

m= (5-(-2))/(1-(-5))

m = 7/6

So the equation becomes;

y = 7/6x + b

We below need to get the value of the y-intercept b

We get this by making a substitution for any of the two points

Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5

Thus, we have

-2 = 7/6(-5) + b

-2 = -35/6 + b

b = -2 + 35/6

b = (-12+ 35)/6 = 23/6

So we have;

y = 7/6x + 23/6

let’s multiply through by 6

6y = 7x + 23

7 0
3 years ago
HELP ME PLEASE<br> RIGHT ANSWERS ONLYYY PLEASE
forsale [732]

The correct answer is

F. x = 8

8 0
3 years ago
2(5x+7)=34 two step equation full answer
Valentin [98]
First use distributive property. Then isolate the variable and get x=2.

8 0
3 years ago
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