Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.
Find the difference between the x values.
-6-2=-8
Square it.
-8²=64
Find the difference between the y-values.
-5-0=-5
Square it.
-5²=25
We add the two numbers we got.
64+25=89
And we find the square root.
√89≈9.43
This method comes from the Pythagorean Theorem! If you draw a triangle that connects the two points, you can use the Pythagorean Theorem to find the distance, which is what we just did!
Have a wonderful day! :D
The factorization of
is
.
<h3>Factorization;</h3>
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; 
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;

Hence, the factorization of
is
.
To know more about factorization click the link given below.
brainly.com/question/17595467
Hello from MrBillDoesMath!
Answer:
2035.8 (approximately)
Discussion:
The volume of a cone or radius r and height h is given by the formula:
Volume = (1/3) Pi * r^2 * h. In our case this is:
V = (1/3) Pi * (18)^2 * 6
=(1/3) Pi * 324 * 6 => 324/3 = 108
= 108 * 6 Pi => 108 *6 = 648
= 648 * Pi => approximating Pi by 3.14
= 648 * 3.14
= 2035.8 (approximately)
Thank you,
MrB
When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:
Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:



So, the table's slope is
-1/5.
Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3). Let's start off with the same formula:


The graph's slope is
3/5.
Now, we just have to decide which is bigger:
-1/5 or
3/5. So, clearly:
3/5 > -1/5.
The
3/5 slope was the graph, hence it has the greater rate of change (
that's why it's B). If anything doesn't make sense, feel free to DM me or ask!