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3 years ago

What is the equation for the line?

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

The slope of the line = (13-5) / -1 = -8.
The y intercept is at y = 5

so the equation is y = -8x + 5

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A spherical balloon has a -in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the b

4vir4ik [10]

$\frac{256}{3} Pi$

5 0

2 years ago

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

Milan drove 715 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours?

Gwar [14]

Answer:

585 miles

Step-by-step explanation:

Basically since he drove 715 miles in 11 hours you would have to divide the 2 numbers then you get 63.

63 is the rate so then you multiply by 9 hours then that's your miles.

585 miles

7 0

3 years ago

What is 5 4/8 + 3 5/8 equal?

tatiyna

9 1/8
4/8+5/8=9/8=1 1/8
5+3=8
8+1 1/8=9 1/8

8 0

3 years ago

Read 2 more answers

4x-2+4=4x-1-1 <br> Please help!

Vladimir [108]

Answer:

There are no solutions

Step-by-step explanation:

4 0

3 years ago