First, fint the roots of the equation 
1.
2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.
Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
yes, negative divided by a negative is positive
a negative multiplied by a negative is also positive
The correct given equation is:
v = [3 (h + 1)^2.5 + 580 h – 3] / 10 h
So to solve for the instantaneous velocity at t = 1, we
must set h = 0. However we cannot do that since h is in denominator and a
number divided by a denominator is infinite. Therefore we must set h to
something almost zero. In this case, h = 0.0000001, so that:
at t = 1
v = [3 (0.0000001 + 1)^2.5 + 580 (0.0000001) – 3] / 10 *
0.0000001
<span>v = 58.75 ft/s</span>
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
