We know that domain of log(x) is ∀ x>0.
=>
domain of log(7x) is also ∀ x>0, or (0,∞) in interval notation.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A =
, tanA =
, cscA =
, secA = 
Consider the right side

= 
= 
=
× sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified
Answer:
y = 4x - 3
Step-by-step explanation:
When we re-write the given equation into its slope-intercept form, it will like this:
y = (-1/4)x - 6
This line has a slope equal to -1/4 so the slope of the required line has a slope of +4 (perpendicular to the given line). Use this new slope and the given point P0(-1, -7) into this equation:
y - y0 = m(x - x0) ---> y + 7 = 4(x + 1)
Rearranging the terms into its slope-intercept form, we get
y = 4x - 3
He earned 200 more dollars the 6th year than the 5th year
First one because 20 nickels = 1$ and 1 nickel is = 5€