A cylinder has a base diameter of 20 meters and a height of 10 meters. What is its

Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.

nadezda [96]

Answer:

The equation of the line is y + x + 1 = 0.

Step-by-step explanation:

The given equations are : x + 2y = 0 and 3x + y + 5 = 0

Now, finding the intersection point of the above system:

from (1) , x = -2y

put in (2), 3 (-2y) + y + 5 = 0

or, 5y = 5 ,or y = 1

If y = 1, pitting in (1), x = -2

So, the intersection lines is (-2,1).

the other point on line is (-3,2)

Now, finding the slope m of the line : $m =\frac{y_2 -y_1}{x_2 - x_1} =\frac{2 -1}{-3 - (- 2)}$

or, $m = -\frac{1}{1}$ = -1

So, by POINT SLOPE FORM: the equation of a line is

(y - y0) =m (x -x0),

now for (-3,2) : equation is ( y - 2) = (-1) (x +3)

or, y + x + 1 = 0

Hence, the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0 is y + x + 1 = 0.

6 0

3 years ago

Read 2 more answers

Please help me with this

krek1111 [17]

Answer:

2827.4ft.^3

Step-by-step explanation:

Volume of a Cone:

V = πr^2 h/3

V = π·15^2·12/3

= 2827.43339

Rounded to the nearest tenth = 2827.4ft.^3

Hope this helps :)

7 0

3 years ago

Turn this fraction into a decimal. Show your work. 13/16.

Lady bird [3.3K]

Answer:

0.8125

Step-by-step explanation:

First , we all know that fraction is like division.

So I divided 13 by 16

Then I got my answer

7 0

3 years ago

Read 2 more answers

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .

P(X = 8)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033$

P(X = 9)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688$

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.1033 = 20.66$

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.0688 = 13.76$

8 0

3 years ago

Rectangles ABCD and EFGH have the same shape. What is the length oh FG

tangare [24]

The length of FG would be BC. This is because FG and BC corresponds on the shape letter sequence. This would mean that EF would be AB, that GH would be CD, and that HE would be DA.

4 0

3 years ago