The graphs of the equations y=3x+13 and y-kx=15 are parallel when k

The value of k for both lines are parallel is 3

Step-by-step explanation:

Given The equation of two lines as :

y = 3 x + 13

y - k x = 15

I.e y = k x + 15

The standard equation of line is y = m x + c

Where m is the slope of line

Now, according to question , both the lines are parallel , so both have same slope.

I.e   =  

Now slope   from first line is 3

And slope   from second line is k

∵   =  

∴   3 = k

Hence The value of k for both lines are parallel is 3    Answer

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: