Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
Answer: -3 and 5
<u>Step-by-step explanation:</u>
Let x represent the 1st digit and y represent the 2nd digit. Then,
Eq 1: 2x + 3y = 9 → 3(2x + 3y = 9) → 6x + 9y = 27
Eq 2: 3x + 2y = 1 → -2(3x + 2y = 1) → <u>-6x - 4y = -2</u>
5y = 25
y = 5
Substitute y = 5 into either of the original equations to solve for x:
2x + 3y = 9
2x + 3(5) = 9
2x + 15 = 9
2x = -6
x = -3
Check (using the other original equation):
3x + 2y = 1
3(-3) + 2(5) = 1
-9 + 10 = 1
-1 = 1 
To simplify the equation. 2x - 4 + 3x, all you need to do is combine like terms, which are 2x and 3x. The resulting answer would be 5x - 4. Hope this helps and have a wonderful day!
Answer:
A
Step-by-step explanation:
v - 2u
= < - 2, 4 > - 2 < 2.5, - 4 > ← multiply each component by 2
= < - 2, 4 > - < 5, - 8 > ← subtract corresponding components
= < - 2 - 5, 4 + 8 > = < - 7, 12 >
Graph A shows the resulting vector
Answer:
55°
Step-by-step explanation:
Since a||b
Then corresponding angles are equal
So 55 is correspondent to X
Therefore X=55°