The magnitude M of a star is a measure of how bright a star appears to the human eye. It is defined by

M = -2.5 log(B/B₀),

where B is the actual brightness of the star and B₀ is a constant.

(a) Expand the right-hand side of the equation.

(b) Betelgeuse is about 100 times brighter than Albiero. Use part (a) to show that Betelgeuse is 5 magnitudes less bright than Albiero. Let B1 be the brightness of the star Albiero and M1 be its magnitude.

Then 100B1 is the brightness of Betelgeuse, and its magnitude is .

answer: 1 and 3

step-by-step explanation:

b, i believe, but not sure.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: