The answer is D. All you have to do is graph the equation, and you will have the vertex and the roots. By the way, you can rule out B and C because those two do not follow the rules of a quadratic. Also, A and B have the wrong axis of symmetry, because the rocket lands after 10 seconds.
Answer. 4 hours
Step-by-step explanation:
48 + 8 + 8 + 8 + 8
$8 an hour and it $32 =4 hours and since they already using $48 for the movie if the they explore the town for 4 hours and then leave it will $80 in total spent
Answer:
12x3+6x2+34x+17
Step-by-step explanation:
(2x+1)(6x2+8+9)
=(2x+1)(6x2+8+9)
=(2x)(6x2)+(2x)(8)+(2x)(9)+(1)(6x2)+(1)(8)+(1)(9)
=12x3+16x+18x+6x2+8+9
=12x3+6x2+34x+17
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
