Answer:
y= 4x + 11 and no.
Step-by-step explanation:
Because you spent the 11 dollars extra and rode the rides meanwhile your friend only went on the rides. If (x) equals the amount of rides and (y) means the total amount. Then your friends equation with be y= 4x. But, you already spent 11 dollars additionally so therefore your equation with be y=4x + 11.
I hope this helped.
Friend y=4x
You y=4x + 11
Answer:
Identity of Division Multiplication
Step-by-step explanation:
I know the properties.
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)
<u>x^2-10x+25</u>
=x^2-5x-5x+25
x(x-5)-5(x-5)
<u>=</u><u>(</u><u>x-5)</u><u>(</u><u>x-5)</u>
<u>x=</u><u>5</u><u> </u><u>,</u><u> </u><u>x=</u><u>5</u><u> </u>
hope it's helpful to you
