Answer:
an=a1+d(n−1) a n = a 1 + d ( n - 1 )
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .
Answer:
P = 8.9k
Step-by-step explanation:
To find the perimeter, you need to add all three sides of the triangle.
P = (1.8k - 5) + (3.5 + 6.1k) + (k + 1.5)
Because you are adding all three expressions, you can remove the parentheses.
P = 1.8k - 5 + 3.5 + 6.1k + k + 1.5
Now you want to combine the variable (k).
P = (1.8k + 6.1k + k) - 5 + 3.5 + 1.5
P = (8.9k) - 5 + 3.5 + 1.5
Now you want to combine the constants.
P = (8.9k) - 0
You are left with:
P = 8.9k
The correct factorization would be (5x - 4)(25x^2 + 20x + 16).
The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.
(a - b)(a^2 + ab + b^2)
If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.
(5x - 4)((5x)^2 + (5x)(4) + 4^2)
(5x - 4)(25x^2 + 20x + 16)
I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).
Since the string has already two 2, then we will compute the whole number of strings whose length is 4, over the alphabet {0,1}:
There is then 16 such strings.
Answer:
4/5
Step-by-step explanation:
formula for slope is (y2-y1)/(x2-x1)
