Which rule represents a dilation with respect to the origin? d1.8(5, 10) = (9, 14) d1.8(5, 10) = (9, 18) d1.8(5, 10) = (13, 18) d1.8(5, 10) = (13, 26)

D1.8(5, 10) = (9, 18)

Step-by-step explanation:

It is required to find which rule represents a dilation with respect to the origin.

So, the corresponding value of x and and y should be in proportion and should be equal the dilation ratio.

Check the options to find the true rules:

1) D1.8(5, 10) = (9, 14)

9/5 = 1.8  , 14/10 = 1.4 ⇒ 9/5 ≠ 14/1 ⇒ Wrong rule

2) D1.8(5, 10) = (9, 18)

9/5 = 1.8  , 18/10 = 1.8 ⇒ 9/5 = 18/10 = 1.8 ⇒ True rule because of D1.8

3) D1.8(5, 10) = (13, 18)

13/5 = 2.6  , 18/10 = 1.8 ⇒ 13/5 = 18/10 ⇒ Wrong rule

4) D1.8(5, 10) = (13, 26)

13/5 = 2.6 , 26/10 = 2.6 ⇒ (13/5 = 26/10) but ≠ 1.8 ⇒ Wrong rule

So, The rule which represents a dilation with respect to the origin is:

D1.8(5, 10) = (9, 18)

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step-by-step explanation:

the

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: