O in this case must be the midpoint.
Firstly let’s assume she is correct and use an equal sign:
1/2(12x + 24) = 3(2x + 4)
Now simplify both sides:
1/2 • 12x = 6x
1/2 • 24 = 12
6x + 12
3 • 2x = 6x
3 • 4 = 12
6x + 12
And:
6x + 12 = 6x + 12
Therefore they are equivalent, she is correct.
If a student tells me that an argument that has a false hypothesis cannot be valid, I would reply that we need to look carefully at the meaning of validity in the context of logic. In everyday speech, we tend to use “valid” to mean the same thing as “true” or “accurate.” In logic, this is not the way the term is used.
This would produce a geometric sequence of the form:
g=3(2.2)^(n-1)
The sum of which is:
g=3(1-2.2^n)/(1-2.2) cleaning up a bit...
g=-3.6(1-2.2^n)
g(15)=-3.6(1-2.2^15)
g(15)=492764.6, since the number of geese must be an integer...
g(15)=492764
Answer:
Length = 65 m
Width = 23 m
Step-by-step explanation:
Width = w
Length = 3w - 4
Perimeter of rectangle = 176 m
2*(length + width) = 176
2*( 3w - 4 + w ) = 176
2* ( 4w - 4) = 176
2*4w - 2*4 = 176
8w - 8 = 176 { add 8 to both sides}
8w = 176 +8
8w = 184
8w/8 = 184/8
w = 23 m
Length = 3w - 4
= 3*23 - 4
= 69 - 4
Length = 65 m
