Answer:
The given expressions simplifies to tan (4x).
Step-by-step explanation:
Here, the given expression is : 
By TRIGONOMETRIC IDENTITY:

Putting this identity here, and taking A = 9 x, B = 5 x, we get

= tan(4x)
Hence, the given expressions simplifies to tan (4x).
Answer:
The equation of the line in point-slope form is
.
Step-by-step explanation:
According to the statement, let
and
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
,
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that
and
, then the equation of the line in point-slope form is:



From (2):


By (1):

The equation of the line in point-slope form is
.
Jocelyn makes more than $195 but not over $645. The amount she has to pay is 15% of the excess of 196. Find this first via subtraction.
421 - 195 = $226 over
Take 15% of this
226 x .15 = $33.9
The tax also includes a $14.4 addition to this 15%.
33.9 + 14.4 = $48.3 total income tax
Important: 35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:
</span><span>35x^2 + 12x − 36 = 0. Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.
I am assuming that you meant </span>35x^2 + 12x − 36 = 0.
If that is indeed the case, then a = 35, b = 12 and c = -36
and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.
Since the discriminant is positive, this equation has 2 real, unequal solutions. They are
-12 plus or minus sqrt(5184)
x = -----------------------------------------
2(35)