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ICE Princess25 [194]
3 years ago
5

Help on this please

Mathematics
1 answer:
sveta [45]3 years ago
4 0
Answer:

y = 1/6x + 3

Step-by-step explanation:

Q = y = -6x + 1

R is perpendicular to line Q and passes through the point (6, 4)

First graph y = -6x + 1

And then plot (6, 4) on the graph

Next draw a perpendicular line

Finally write the equation of line Q

Q: y = 1/6x + 3
You might be interested in
The volume of a cube with sides of length s is given by v = s^3. find the rate of change of the volume with respect to s when s
katrin2010 [14]

The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

<h3>What is the volume?</h3>

The formula for volume of a cube is given as;

Volume = a³

Where:

a = length of its side

From the information given, we have;

V = s³

Where s = 15 centimeters

Substitute the value into the formula

v = (15)³

v = 3375 centimeters

Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters

Learn more about a cube here:

brainly.com/question/1972490

#SPJ4

5 0
1 year ago
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
sdas [7]

Given

 One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had  coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had  coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore  the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0
3 years ago
How to I make 3x+6y=18 into y=my+b
kirza4 [7]

Answer:


Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    3*x+6*y-(18)=0


Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :


  3x + 6y - 18  =   3 • (x + 2y - 6)


Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0


This equation has no solution.

A a non-zero constant never equals zero.


Equation of a Straight Line

2.2     Solve   x+2y-6  = 0


Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).


"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.


In this formula :


y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis


The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-6  = 0 and calculate its properties


Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000


 y-intercept = 6/2  =  3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000


 x-intercept = 6/1  =  6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)


   Slope     = -1.000/2.000 = -0.500

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3


3 0
3 years ago
How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?
My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=Length*Width*Height

Length=2 cm\\\\    Width=1 cm\\   \\ Height=3/2 cm = 1.5 cm

Volume of Prism = 2*1*1.5

                      =3.0 cm^3

Volume of the Cube:

                                    Side*Side*Side\\\\=0.5*0.5*0.5

                                      = 0.125 cm^3

Number of cubes that fills the prism:

                                        3.0/0.125\\\\=24 cubes

So, the number of cubes that can fill the prism is '24'

8 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!! DUE SOON
PilotLPTM [1.2K]

Answer:

i cant reall read the screen sorry

Step-by-step explanation:

7 0
3 years ago
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