Find the mean absolute deviation of the set of data. 6, 6, 8, 10, 10

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

$\sf \longrightarrow y - y_1 = m(x - x_1)$

Now on substituting the respective values we have,

$\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\$

$\sf \longrightarrow 2(y-1 )= x -8 \\$

$\sf \longrightarrow 2y -2=x-8\\$

$\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}$

5 0

2 years ago

40 POINTS PLEASE HELP ASAP!!

eduard

The answer world be D 8 pounds

7 0

3 years ago

Read 2 more answers

Could someone please help with this?

saveliy_v [14]

9514 1404 393

Answer:

5. 88.0°

6. 13.0°

7. 52.4°

8. 117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

__

<em>Additional comment</em>

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

5 0

3 years ago

Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people

makvit [3.9K]

Answer:

8 tables

Step-by-step explanation:

She has total of five tables and 6 people seat on each table

So total number of people who seat om the table =5×6=30

It is given that no more than 62 people attend

So total number of people who will come =62

Number of people who are not seated on the table =62-30=32

Now he needs table on which 4 people can seat

So total number of tables $=\frac{32}{4}=8$

6 0

2 years ago

A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the

Kitty [74]

The probability is 0.5 tiles will be green

7 0

3 years ago