Answer:
( -∞, -3 ) or any subinterval of ( -∞, -3 )
Step-by-step explanation:
h(t)=(t+3)^2+5 has the form
h(t) =(t-h)^2 + 5, indicating that h(t)=(t+3)^2+5 represents a parabola with vertex at (-3,5) that opens up. This (-3,5) is the minimum point of the graph.
To the left of t = -3, h(t) is decreasing; to the right of t = -3, h(t) is increasing.
Thus, it is on any interval to the left of t = -3 that the rate of change of this function is negative (the function is decreasing on ( -∞, -3 ).
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
26.4 m
Step-by-step explanation:
The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse. Hence,
sin 40° = 
= 
c = 
<u> c = 26.4 m (3 sf)</u>
Answer:
Step-by-step explanation:
The answer is "Impossible to solve" , because there is no rule for function at point x = 7 . The given function has domain ( - ∞ , 2 ) ∪ { 2 } ∪ ( 2 , 7 ) ⇒ 7 is not a part of domain!!!
Answer:
sorry dear but I don't understand your question