Answer:
k = 3
Step-by-step explanation:
We have the distance formula:
. We can plug in
= d, x2 = 6, x1=2, y2 = 7, y1 = k.
Then, we can solve the question using some algebra to find that k = 3.
Edit: Here is a step by step:









Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)

(B)

In this case, it is easier to also factor the divisor to primes:

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

The interval where the function is increasing is (3, ∞)
<h3>Interval of a function</h3>
Given the rational function shown below
g(x) = ∛x-3
For the function to be a positive function, the value in the square root must be positive such that;
x - 3 = 0
Add 3 to both sides
x = 0 + 3
x = 3
Hence the interval where the function is increasing is (3, ∞)
Learn more on increasing function here: brainly.com/question/1503051
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Complete question:
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
what is the area of the sector?
Answer:
The area of the sector =
square units
Step-by-step explanation:
To find the area of the sector of a circle, let's use the formula:

Where, A = area
r = radius = 3
Substituting values in the formula, we have:

The area of the sector =
square units
Answer:
4
Step-by-step explanation:
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population or a probability distribution. For a data set, it may be thought of as the "middle" value. And the middle value in this problem is 4.