Acandle that is 12 inches tall is burning at a rate of 0.25 inches per hour. the equation, y = - 0.25x + 12 describes the height, y, of the candle after x hours. what do the rate of change and y-intercept of this function represent?

the burning rate: A quarter inch down (-0.25). The original height of a candle (12)

Step-by-step explanation:

This linear equation y = - 0.25x + 12 informs us that at each hour, a quarter inches of the candle melts down. This is why the burning rate i.e. slope is negative (-0.25).

The y-intercept represents the height of a  new 12" inches candle.

e) none of the above because the measure of angle cba is 101°

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.