Let's V the speed of the girl in step
v the speed of the escalator in step
L the length between ground and floor.
V*60+v*60=L ==> V+v=L/60
V*90-v*90=L ==> V-v=L/90
2V=L(3+2)/180
==>V=5L/360
Time to climb (in step) with v=0 (escalator standing still)
V*t=L==> t=L/V=L/(L*5/360)=72
The girl will count 72 steps.
Given:
(x₁,y₁) = (-2,4)
(x₂,y₂) = (0,2)
Determine the slope of the function
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 4) / (0 + 2)
m = -2/2
m = -1
Determine the equation
y - y₁ = m(x - x₁)
y - 4 = -1(x - (-2))
y - 4 = -1 (x + 2)
y - 4 = -x - 2
y = -x - 2 + 4
y = -x + 2
f(x) = -x + 2
The correct answer is first option
2n + 1
the number before n is the difference (what it goes up in), and the second is the ‘zeroth’ term: you take away the 2 you got from the first value, 3, and get 1 :)
The area is the area of the rectangle minus the semicircle.
The radius is 8 mm, and the length of the rectangle is 16 mm, the diameter.

27.52 mm²
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is
.
Here are the transformations of a rational function:

a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to
, we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!