Given:
The graph of a line segment.
To find:
The distance between the pair of points.
Solution:
From the given graph it is clear that the end points of the line segment are (-3,-1) and (-2,-3).
The distance between these two points is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![d=\sqrt{(-2-(-3))^2+(-3-(-1))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-2-%28-3%29%29%5E2%2B%28-3-%28-1%29%29%5E2%7D)
![d=\sqrt{(-2+3)^2+(-3+1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-2%2B3%29%5E2%2B%28-3%2B1%29%5E2%7D)
![d=\sqrt{(1)^2+(-2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281%29%5E2%2B%28-2%29%5E2%7D)
On further simplification, we get
![d=\sqrt{1+4}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B1%2B4%7D)
![d=\sqrt{5}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B5%7D)
![d=2.236067](https://tex.z-dn.net/?f=d%3D2.236067)
![d\approx 2.2](https://tex.z-dn.net/?f=d%5Capprox%202.2)
Therefore, the distance between the pair of point is about 2.2 units.
Answer:
![-\frac{2}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D)
Step-by-step explanation:
The average rate of change is defined as ![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
In this case, b=2 and a =-3
Knowing this, we can input in our known values
![\frac{f(2)-f(-3)}{2+3}\\\\\frac{f(2)-f(-3)}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%282%29-f%28-3%29%7D%7B2%2B3%7D%5C%5C%5C%5C%5Cfrac%7Bf%282%29-f%28-3%29%7D%7B5%7D)
Now we can find the values of
and
using the table
This gives us, which can be simplified to
![\frac{0-2}{5}\\\\\\-\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B0-2%7D%7B5%7D%5C%5C%5C%5C%5C%5C-%5Cfrac%7B2%7D%7B5%7D)
Equation of circle:
(x+2)^2 + (y+8)^2 = 17
Point (-6, -7)
(-6+2)^2 + (-7+8)^2 = 17
(-4)^2 + (1)^2 = 17
16 + 1 = 17
17 = 17
Answer is YES
The only whole numbers that multiply together to equal 22 are 1 x 22, and 2 x 11.
Unfortunately, neither of these pairs add OR subtract to equal 11.
The answer you are looking for would be D. $3
This is found by divding 50 (number of students) by 5 (number of students per chaperone). This shows there are 10 chaperones.
Multiply 10 and 45 (cost of adult tickets) to get $450. Then multiply 50 and 30 (cost of student tickets) to get $1,500.
Next you'd add 1,500 and 450 together to show the total ticket cost, which is $1,950. Since the organization raised $1,800 already, you'd subtract it from $1,950, to get $150.
Finally, divide $150 by 50 to show how much each student pays.
I hope this helps!