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Gnom [1K]
2 years ago
6

Write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0

Mathematics
1 answer:
Alecsey [184]2 years ago
7 0

Answer:

y =  \frac{1}{x - 5}

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in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 l
Eddi Din [679]

Answer:

Distance between  the observer and the red car is 250 Sin \frac{\pi}{3}t

Step-by-step explanation:

Diameter of field = 500 m

Radius of field =\frac{Diameter}{2}=\frac{500}{2}=250 m

Let R be the radius and the speed at which the car completes race be w

So,w=\frac{2\pi}{T}

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = \frac{30}{5}=6

So, w=\frac{2\pi}{6}=\frac{\pi}{3}

Refer the attached figure

Angle between car and observer = wt

So, Distance between  the observer and the red car is give as A sin wt

So, Distance between  the observer and the red car=250 Sin \frac{\pi}{3}t

5 0
2 years ago
What’s the volume of the rectangular prism
LUCKY_DIMON [66]

Answer:

24cm3

Step-by-step explanation:

4 0
2 years ago
Complete the equation of the line through (-6,5) and (-3,-3)
lana66690 [7]

Answer:

y=-8/3x-11 is the equation of the line and the value of y

Step-by-step explanation:

Use point slope form m = y-y1/x-x1, or y-y1=m(x-x1)

Find the slope from the two points (-6,5) and (-3,-3)

m = y2-y1/x2-x1 = -3-5/-3+6 = -8/3

use one point say (-6,5) that passes through the line and the slope to form the equation y-5=-8/3(x+6) rearrange y= -8/3(x+6)+5

y=-8/3x - 48/3 +5 = -8/3x-16+5 = -8/3x-11

4 0
3 years ago
How many years will it take for the area of the glacier to decrease to 15 square kilometers
atroni [7]

Answer:

  20ln(3)

Step-by-step explanation:

Put 15 for A and solve for t.

  15 = 45e^(-.05t)

  15/45 = 1/3 = e^(-.05t) . . . . divide by 45

  ln(1/3) = -.05t . . . . . . . . . . . take natural logs

  20ln(3) = t . . . . . . . . . . . . . . multiply by 20, simplify

It will take 20·ln(3) years for the area to decrease to 15 km^2.

5 0
2 years ago
Please help me!<br> Will mark brailest if you are right!!!
Anon25 [30]

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = \frac{3-0}{1-0} = 3 , then

y = 3x ← is the equation of the graphed line

8 0
3 years ago
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