Answer:
See below.
Step-by-step explanation:
p^2 + 2
= (6n + 1)^2 + 2
= 36n^2 + 12n + 1 + 2
= 36n^3 + 12n + 3
= 3(12n^2 + 4n + 1).
- which is divisible by 3.
Answer:follow me on ig lol
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
The cost of 5 t-shirts and 3 skirts
= 5(x - 3) + 3(x + 6)
= 5x - 15 + 3x + 18
= (5x + 3x) + (-15 + 18)
= 8x + 3
Answer:
x = 10,000.
Step-by-step explanation:
solve log x = 4
This is a log to the base 10 so
x = 10^4
x = 10,000.
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*