Question

Prove that t2 is irrational
and hence prove that
that 7√2/
--------
3 is irrational

​

Answer 1

Answer:

ANSWER EXPLANATION: Think of the equation as an equation for a line

y=mx+b

where in this case

C=

5

9

(F−32)

or

C=

5

9

F−

5

9

(32)

You can see the slope of the graph is

5

9

, which means that for an increase of 1 degree Fahrenheit, the increase is

5

9

of 1 degree Celsius.

C=

5

9

(F)

C=

5

9

(1)=

5

9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of

9

5

degrees Fahrenheit.

C=

5

9

(F)

1=

5

9

(F)

(F)=

9

5

Since

9

5

= 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of

5

9

degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C=

5

9

(F)

C=

5

9

(

5

9

)

C=

25

81

(whichis≠1)

An increase of

5

9

degree Fahrenheit leads to an increase of

25

81

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.