I need help in making a graph please help me<br><br> like this<br> image

What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y

motikmotik

Answer:

3y + 2x = 5

Step-by-step explanation:

3x-2y = -2

2y = 3x + 2

y = (3/2)x + 1

Slope is 3/2

Slope of the Perpendicular line is -2/3

y = (-2/3)x + c

x = -2 , y = 3

3 = (-2/3)(-2) + c

3 = 4/3 + c

c = 3 - 4/3 = 5/3

y = (-2/3)x + 5/3

3y = -2x + 5

3y + 2x = 5

5 0

3 years ago

Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14 for π

adelina 88 [10]

First you have to use the formula which is r to the second times height times pi
You would do 4 times 2 equals 8 then multiply 8 times 10 equals 80 then multiply that answer times 3.14 then your answer is 251.2

3 0

3 years ago

Branliest offered

Veseljchak [2.6K]

1/9
2
1 4/5
3 1/2

There's your answer.

8 0

3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago

- Factorise 121y² - m²

Otrada [13]

Answer:

$\boxed{ \bold{ { \boxed{ \sf{(11y + m)(11y - m)}}}}}$