Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
10x²+11-2x
Step-by-step explanation:
I hope you mean 7x²+8+5, not 7x²+8x+5.
We need to combine like terms. Anything with squared should be added together, et cetera.
(7x²+8+5)+(3x²-2x-2)
You can take out the parenthesis, because they don't matter in addition.
7x²+8+5+3x²-2x-2
Add the terms, step by step. Each bold pair needs to be added together.
7x²+8+5+3x²-2x-2
10x²+8+5-2x-2
10x²+11-2x
Now there's no more we can add together.
Answer:
520 feets
Step-by-step explanation:
The height of the building, h can be obtuined using trigonometry ;
From the attached diagram, opposite side = 300 feets ; height, h = adjacent side
Hence,
Tan θ = opposite / Adjacent
Tan 30° = 300 / height
0.5773502 = 300 / height
Height = 300 / 0.5773502
Height = 519.615
Height = 520 feets
Answer:
angles in linear pair are 90° hope it helps u ♥♥♥♥♥♥♥
