Answer:
Explicit formula: a(n)=3n-6
Recursive formula: a(n)=-3+(n-1)3 <--
Step-by-step explanation:
a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3
<u>Plug values into recursive formula:</u>
a(n)=a1+(n-1)d
a(n)=-3+(n-1)3
Use the distributive property for the left side first
3.2=1/2q+5.65
subtract 5.65 from both sides
-2.45=1/2q
divide both sides by 1/2
q=-4.9
Answer:
Length of side AB = 5
Step-by-step explanation:
A regular polygon is one in which all angles are equal and all the sides have the same length.
Now, it means that;
AB = BC = CD = DE = AE
We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.
Thus, from equal length of sides of a regular polygon, we have;
3x - 4 = 4x - 9
4x - 3x = 9 - 4
x = 5
Thus, length of BC = 3(5) - 4 = 15 - 4 = 11
Therefore, Length of AB = 5
Answer:
86km/h
80km/h
Step-by-step explanation:
weighted average
bus took 5hrs so van took 3.75 hrs
300/3.75
-4x-2(8x=1)=-(2x-10)
-First, use the distributive property.
So distribute -2 to 8x=1 then distribute the negative - to (2x-10)
So it'd be: -4x-16x=-2=-2x+10
Then combine like terms:
-20x=-2=-2x+10
-18x=-2=10
-18x=8
Divide -18x by 8
x=-2.25
