Answer:
<u>To prove:</u>
<u>Expand the square:</u>
- 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1) + 1 = 3y + 1
Answer:
see explanation
Step-by-step explanation:
To find cscθ we require to find the third side of the triangle.
let 3rd side be x and using Pythagoras' identity
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = 
Then
cosθ = 
= 
cscθ = 
= 
tanθ = 
= 
Answer:
x=2
Step-by-step explanation:
logx (2x)^3 = 6
We can rewrite without the exponent
3 logx (2x) = 6
Divide by 3
3/3 logx (2x) = 6/3
logx (2x) = 2
Raise each side to the base x
x^ logx (2x) =x^ 2
2x = x^2
Subtract 2x from each side
2x-2x = x^2 -2x
0 = x^2 -2x
Factor an x
0 = x(x-2)
Using the zero product property
x =0 x-2 =0
x =0 x=2
We cannot have a base of 0, so x cannot equal 0
x=2
Answer:
6.9081 x 10^{9}
Step-by-step explanation:
