Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:
-cot(x)
Step-by-step explanation:
tanx-(sec^2x / tanx)
Lets get a common denominator of tan
tan x * tan x/ tan -sec ^2 x/ tan x
tan ^2 x - sec ^2 x
---------------------------
tan x
We know than sec^2 - tan^2 =1 (trig identity) so factor out -1
-1(-tan ^2 x + sec ^2 x)
---------------------------
tan x
-1(1)
---------------------------
tan x
-1
----------
tan (x)
We know 1/ tan x = cot (x)
- cot(x)
Answer:
100 is always divisible by 4. Therefore it doesn't matter which number is up front.
the two other digits are important because there are 2-digit-numbers that are not divisible by four. "14" is not divisible by four, but "24" is.
34 isn't divisible, 44 is, 54 isn't.
So both digits will need to form a number that is divisible by 4, or it will not work.
Step-by-step explanation:
n/A
Well your formula would be
A = P Q
---
2
hope that helped
