If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
Answer:
1. is a 30 60 90 triangle so x = 30
pardon my bad handwriting for below
2.
STEP 1: subtract the angle you have from 180
STEP 2: add your x values together, if there is a non x number (such as + 10) balance it out on the other side by adding or subtracting
STEP 3: divide so that x has no coeffecient in front of it
STEP 4: substitute x values with the value you got
STEP 5: verify by adding the angles you got, it'll be correct if it equals 180
Answer:
7 + 6
5 + 11
Step-by-step explanation:
the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.
3 + 4 = 7 ≤ 8 no
7 + 6 = 13 > 12 yes
5 + 11 = 16 > 13 yes
4 + 6 = 10 ≤ 12 no
4 + 6 = 10 ≤ 10 no
Answer:C (-2, 1)
Step-by-step explanation:
Answer:
6. Z= -11
7. N= 15.25
Step-by-step explanation:
6. Subtract 10 from each side to get Z+3= -8
Then Subtract 3 from each side to get Z= -11
7. Subtract 4 from each side to get 3/4 n= 16
Then Subtract 3/4 to get N= 15.25
