Question

$\huge{\color{#FF8566}{Question}}$
The Fehrenheit temperature F and absolute temperature K satisfy a linear equation. Given that K = 273 when F = 32 and that K = 373 when F = 212.
Express K in the terms of F and find the value of F, when K = 0.​

Answer 1

$\huge\sf{\underline{\underline{\orange{Solution}}}}$

៚ Assuming F along x-axis and K along y-axis.

៚ We have two points (32,273) and (212,373) in XY-plane.

★ By two-point form, the poit (F,K) satisfies the equation..

⟾ $\bf{K - 273 = \dfrac{373 - 273}{212 - 32}(F - 32)}$

⟾ $\bf{K - 273 = \dfrac{100}{180}(F - 32)}$

⟾ $\bf{K = \dfrac{5}{9}(F - 32) + 273}$

$\therefore\green{The\: required\: relation\: is}$

$\large{\boxed{\pink{K = \dfrac{5}{9}(F - 32) + 273}}}$......[1]

$\large\mathcal{\underline{Now}}$

★ When K = 0, Equation [1] gives

⟾ $\bf{0 = \dfrac{5}{9}( F - 32) + 273}$

⟾ $\bf{F - 32 = \dfrac{- 273 × 9}{5}}$

⟾ $\bf{F - 32 = -491.4}$

$\large{\boxed{\purple{F = -459.4}}}$

_________________________

Answer 2

Answer:

BRAINLIST

Step-by-step explanation:

K–273 = 373-237 / 212-32 (F- 32)

K - 273 =100/180 (F- 32)

K- 5/9 (F- 32) + 273

putting K=0 we get,

0=5/9 (F- 32) + 273

F - 32 = - 237×9 /5

F = 32 - 491.4 = - 459.4