Answer:
Step-by-step explanation:
Given that Ian factored
as
We find that inside still there are common factors for the two terms.
We can find 2 as common factor and for x, the term x and for y it is y^2
So correct factorisation would be
Answer:
Step-by-step explanation:
So we are given two values:
They can be interpreted as: (4,9) and (-11,k).
So, we want to find the value of k such that the slope of the line between the two points would be 5.
Recall the slope formula. It is:
Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:
Simplify the denominator:
Multiply both sides by -15. The right side cancels:
Now, add 9 to both sides. The right side cancels.
Therefore, k is -66.
A.56
B.6720
C.960
D.40
Using, binomial coefficient, the value of 8C5 is 56, which corresponds to option A.
To calculate the value of 8C5 (8 choose 5), we use the binomial coefficient formula:
nCr = n! / (r! * (n - r)!)
where n is the total number of items, r is the number of items chosen.
In this case, n = 8 and r = 5.
8C5 = 8! / (5! * (8 - 5)!)
Now, let's calculate the factorials:
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320
5! = 5 * 4 * 3 * 2 * 1 = 120
3! = 3 * 2 * 1 = 6
Now, substitute these values back into the formula:
8C5 = 40,320 / (120 * 6)
8C5 = 40,320 / 720
8C5 = 56
Therefore, the value of 8C5 is 56, which corresponds to option A.
To know more about binomial coefficient:
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Answer: The answer would be 56!
Step-by-step explanation:
6x7x8 / 3! =56