Answer:
y = -2x + 9
Step-by-step explanation:
The parallel line has an equation of y = -2x + 7;
And its slope is -2.
The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.
Taking another point (x,y) on the line that passes through (4,1):
slope(m) = change in y ÷ change in x
-2 = 
Cross multiplying gives;
y - 1 = -2x + 8
y = -2x + 9
Nola will make B. $ 3, 224 in one year.
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)
Answer:
Step-by-step explanation:
a) 310cos25 = 281 N
b) (620 - 281) / cos-18 = 356 N
40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
1,696 - 1,200 = 496
There are 496 more players in the NFL then in the MLB.
