Answer:
w<-3
Step-by-step explanation:
Interval notation form is:
(-∞,-3)
Answer:
T = - 3.2e + 80
Step-by-step explanation:
Given the following :
e = elevation in thousands of feets
T = temperature (°F)
e1 = 5 ; e2 = 10 (in thousands of feet)
T1 = 64° ; T2 = 48°
y = mx + c ; T = me + c
y = ; m = slope, c = intercept
64 = m5 + c - - - - (1)
48 = m10 + c - - - - (2)
From (1)
c = 64 - m5
Substitute c = 64 - m5 into (2)
48 = m10 + c - - - - (2)
48 = m10 + 64 - m5
48 - 64 = 10m - 5m
-16 = 5m
m = - 16 / 5
m = - 3.2
Substitute the value of m into c = 64 - m5
c = 64 - 5(-3.2)
c = 64 - (-16)
c = 64 + 16
c = 80
Inserting our c and m values into T = me + c
T = - 3.2e + 80
Where e is in thousands of feet
T is in °F
Given:
Consider the given graph as a reference of the solution.
To find:
Explanation:
By analyzing the graph, we can define the coordinate of vector u and v:
![\[\begin{align} & \vec{u}=(-8,-9)-(0,0)=(-8,-9) \\ & \vec{v}=(3,7)-(0,0)=(3,7)\end{align}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Balign%7D%20%26%20%5Cvec%7Bu%7D%3D%28-8%2C-9%29-%280%2C0%29%3D%28-8%2C-9%29%20%5C%5C%20%20%26%20%5Cvec%7Bv%7D%3D%283%2C7%29-%280%2C0%29%3D%283%2C7%29%5Cend%7Balign%7D%5C%5D)
Now, let perform the dot product of two vectors,
Now, perform the required operation,
Final answer:
Hence, the required solution is:
When working with polygons the main properties which are important are:
The Number of sides of the shape
The Angels between the sides of the shape
and
The Length of the sides of the shape.
