Answer:
<em>4.52secs</em>
Step-by-step explanation:
Given the height of a falling object expressed as;
d=3t+5t^2
If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;
84 = 3t+5t^2
3t+5t^2 - 84 = 0
t = -5±√25-4(3)(-84)/2(3)
t = -5±√25+1008/6
t = -5±32.14/6
t = -5+32.14/6
t = 27.14/6
<em>t = 4.52 secs</em>
<em>Hence it will take 4.52secs for the object to travel 84feet</em>
This system of equations is consistent and independent, because there is only one solution. the answer is C
<span>3.the function is f^2(4) = f(3) = 1/2 x 1 = 2.5
i believe thats right still working on the others</span>
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 *
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
hypotenuse =
<span>
<span>
<span>
11.3137084990
</span>
</span>
</span>
Source:
http://www.1728.org/trig2.htm