Prove that the sum of ab and ba is divisible by the sum of a and b
1 answer:
Answer:
It is divisible by 11 and (a + b) !
Step-by-step explanation:
Given a two digit number , the digits written in reverse order is
.
Note that a two digit number ab = 10a + b.
For example: 24 = 10(2) + 4
Similarly, ba = 10(b) + a
Now, the sum of the numbers ab and ba = 10a + b + 10b + a
= 11a + 11b
= 11(a + b)
Hence, the sum of any two digit number ab and the reverse of the number ba, is divisible by 11 and (a + b).
Hence, proved.
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Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.
Step-by-step explanation:
Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.
To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.
To convert °F, we have the formula (112°F − 32) × () + 273.15, so
110 °F = (110 - 32) × () + 273.15 = 316.483 K,
112 °F = (112 - 32) × () + 273.15 = 317.594 K.
Step 2; By rewriting all the values on the same unit, we get;
Sample A = 317.15 K,
Sample B = 320 K,
Sample C = 316.483 K,
Sample D = 310 K,
Sample E = 317.594.
The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.