Please show the working. (Standard form)

9514 1404 393

  12.8 light-years

Step-by-step explanation:

Multiply the distance by the conversion factor.

  (1.208×10^14 km) × (1 light-year)/(9.461×10^12 km)

  = (1.208/9.461)×10^(14-12) light-year ≈ 12.8 light-year

Additional comment

The term "standard form" in this context is somewhat ambiguous. In some parts of the world, "standard form" is "scientific notation." In that form, the distance is 1.28×10^1 light years.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4