Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
Answer:
h=6
Step-by-step explanation:
since
is an equation for a line which intersects with the curve
. The point of intersection, let's say
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

where
and
, as a result, the following equations can be deduced,

therefore, dividing both sides by 12

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What do you need help with : )
We would have
a + b = 360
a - 40 = b, so we solve as follows:
360-40=320,
320/2 = 160,
160 + 40 = 200.
Check: 200+160 = 360, so
200 is your answer.
Hope this helps and have a nice day:)