Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
Answer:
see explanation
Step-by-step explanation:
Given
, 
Factor the denominators of both fractions
, 
The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)
Multiply numerator/denominator of first fraction by (a + 7)
Multiply numerator/denominator of second fraction by (a + 5 )
, 
, then
, 
Answer:
Step-by-step explanation:
1. Slope
2. Hypotenuse
Answer:
b = 110°
Step-by-step explanation:
The sum of angles in a trapezoid is 360°
Summing the angles we get:
65°+55°+130°=250°
Then subtracting this value from 360° we get:
360°-250°=110°
Final answer of 110°
A = 1/2bh
= 1/2(3)(4)
=1/2(12)
=6
The area of the triangle is: B) 6 units.
Hope this helps!
