I know that -40 degrees celsius is = to -40 degrees fahrenheit. This can be proved by using the formula Y=5/9(x-32), with x being degrees in fahrenheit and y being celsius. My question is, without using the trial and error method, how would I discover that -40 degrees is where both are the same number. What is the formula I would use to find -40 with only knowing that I needed to find the number were the two different measurements are the same number?
2006-06-13 10:30:39 · 6 answers · asked by Diane H 2 in Education & Reference ➔ Homework Help
Set y=x, since you want both temperatures to be equal in the end.
So then you have x=5/9(x-32).
And then you solve for x.
Multiply both sides by 5/9:
(9/5)x=x-32
Subtract x from both sides:
(4/5)x=-32
Divide by 4/5:
x=-40
2006-06-13 10:41:11 · answer #1 · answered by alleycat2007 2 · 1⤊ 0⤋
Use the same equation (formula) for your conversion you already gave where y=x
So x=5/9(x-32) Multiplying both sides by 9/5 to get the formula 9/5x=9/5x5/9(x-32) or 9/5x=x-32
Subtract x from both sides so 9/5x-x=-32 or 4/5x=-32
Multiply both sides by 5, solve 4/5x=-32 or 4x=-160 or x=-40
2006-06-13 10:47:12 · answer #2 · answered by donaldvf 3 · 0⤊ 0⤋
If you multiply the known factor (-40 Celsius) by 1.8 and then add 32, you will have your proof. For example, you know that 0 Celsius is freezing and 32 Fahrenheit is freezing. 0 x 1.8 is 0, and then add 32. Try it with -40 and you'll see what I mean.
2006-06-13 10:46:12 · answer #3 · answered by njswan4 1 · 0⤊ 0⤋
since you want x and y to be the same (or degrees F and C), then do that...let x=y
x=5/9(x-32)
solve for x, and that will be your number!
2006-06-13 10:34:42 · answer #4 · answered by powhound 7 · 0⤊ 0⤋
Br + Ad + 40b = -40F and -40C
Boat ride + antarctic destination + 40 below = -40F and -40C
2006-06-13 10:36:58 · answer #5 · answered by jbethtoday 1 · 0⤊ 0⤋
let me call my math teacher
2006-06-13 10:34:47 · answer #6 · answered by dirt29180 3 · 0⤊ 0⤋