We know that tanθ = sinθ/cosθ
For a number to be undefined, the denominator must equal to 0. At π/2, the cosθ value is 0 and sinθ is 1. Hence, tan(π/2) is undefined.
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Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
Answer: Are you french, because I effiel for u
Step-by-step explanation:
Answer:
2. Stepford is the least consistent in daily temperatures because its standard deviation is the highest.
Step-by-step explanation:
Standard deviation is the average amount that each data point is from the mean. The lower the standard deviation is, the closer each data point is to the mean; this means it is more consistent if it has a low standard deviation.
Stepford has the highest standard deviation; this means it is the most variable, or least consistent.
Answer:
20
Step-by-step explanation:
Scale factor = 8/16 = 1/2
So, 10/x = 1/2
x = 10*2
x = 20
