<h3><u>Question</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>
<h3><u>Statement</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>
<h3><u>Solution:</u></h3>
- Let one of the digit of the original number be x.
- So, the other digit = (13-x)
- Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
- The number obtained after interchanging the digits is 10x+(13-x) =9x+13
- Therefore, by the problem
130-9x-(9x+13) = 45
or, 130-9x- 9x-13 = 45
or, -18x = 45-130+13
or, -18x= -72
or, x = 72/18 = 4
or, x = 4
- So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>
The number is 94.
I think the answer you have given isn't right. The answer should be 94.
Answer:
(x + 4)(x + 1)(x + 1) or (x + 4)(x + 1)²
Step-by-step explanation:
Factor both denominators and see what you are missing between them
(x^4)/[(x + 1)(x + 1) -8/[x + 4)(x + 1)]
So in order to get a common denominator, we need
(x + 4)(x + 1)(x + 1) as a denominator, or (x +4)(x + 1)²
Given series is 2.4,-4.8,9.6,-19.2
To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.
Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2
Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4
Since those common differences are not equal the given series does not have common difference at all.
To check if it has common ratio or not let us find few ratios of consecutive terms.
Common ratio of first 2 terms =
= ![\frac{-4.8}{2.4} = -2](https://tex.z-dn.net/?f=%5Cfrac%7B-4.8%7D%7B2.4%7D%20%3D%20-2)
Common ratio of 2nd and 3rd terms = ![\frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0](https://tex.z-dn.net/?f=%5Cfrac%7B3rd%20term%7D%7B2nd%20term%7D%20%3D%20%5Cfrac%7B9.6%7D%7B-4.8%7D%20%3D%20-2.0)
So, the given series has common ratio as -2.0
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
![\frac{f}{m}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%7D%7Bm%7D%20)
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²
Answer: (0,-2)
Step-by-step explanation: uhdehdwhehehhH