Answer:
Yes, it is a function.
Step-by-step explanation:
A relation is a function if it passes the VLT (Vertical Line Test).
When graphed, it kind of looks like a combination between a "U" and "V" shape, meaning it passes the Vertical Line Test.
Answer:
![[km^2]](https://tex.z-dn.net/?f=%5Bkm%5E2%5D)
Step-by-step explanation:
In this problem, the initial area of the forest at time t = 0 is
After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.
So for instance, after 1 year, the area is
After 2 years,
And so on. So, after t years, the area of the forest will be
And by substituting the value of A0, we can find an explicit expression:
One and one tenth is the answer
Answer:
x=6
Step-by-step explanation:
Solve for x:
5 (2 x - 8) - 15 = 5
5 (2 x - 8) = 10 x - 40:
10 x - 40 - 15 = 5
Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):
10 x + (-40 - 15) = 5
-40 - 15 = -55:
10 x + -55 = 5
Add 55 to both sides:
10 x + (55 - 55) = 55 + 5
55 - 55 = 0:
10 x = 5 + 55
5 + 55 = 60:
10 x = 60
Divide both sides of 10 x = 60 by 10:
(10 x)/10 = 60/10
10/10 = 1:
x = 60/10
The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:
Answer: |
| x = 6
What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.
From here, use the transitive property
We combine these two statements
into the following
WX = YZ
So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.
Through similar logic, we can chain together
to get VW = XY
-------------
Consequently this means VW, WX, XY, and YZ are all the same length
Let's call that length m.
m = length of segment VW = length of WX = etc etc
This means,
VY = VW+WX+XY = m+m+m = 3m
and
WZ = WX+XY+YZ = m+m+m = 3m
Both VY and WZ are exactly 3m units long, therefore, VY = WZ
