I need steps on how to do this!
1 answer:
Answer:
3.856 seconds
Step-by-step explanation:
Set d=10 and solve for t.
10 = -12t^2 -3t +200
12t^2 +3t -190 = 0 . . . . . . subtract the expression on the right to put into standard form
This is a quadratic equation, so the quadratic formula can be used to find solutions. That formula tells you the solution to ...
ax^2 +bx +c = 0
is
x = (-b ±√(b² -4ac))/(2a)
__
We have a=12, b=3, and c=-190. The variable in our equation is t, not x. Putting these values into the formula, we find ...
t = (-3 ±√(3² -4(12)(-190)))/(2·12)
t = (-3 ±√9129)/24
t = (-3 ±95.546)/24 = -4.106, +3.856
The coconut will be about 10 ft off the ground after 3.856 seconds.
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We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
This is, indeed correct, thus, this <em>is </em><em>a right triangle.</em>
This is, indeed correct, thus, this <em>is </em><em>a right triangle.</em>
Answer:
a)
b)
c)
d)
e)
Step-by-step explanation:
a) 8 = 2 x 2 x 2
b) 32 = 2 x 2 x 2 x 2 x 2
c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
d) 5 x 2^3 / 64 = 5 x 8 / 64
= 40/64
= 5/8
=
e) 16 - (-2)^3 = 16 - (-8)
= 16 + 8
=