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aniked [119]
3 years ago
9

The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original numbe

r. Find the original number. Check your answer.
a. 18
b. 27
c. 36
d. 45
Mathematics
1 answer:
Paul [167]3 years ago
4 0

9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

<em>Check</em>

  45 + 9 = 54 . . . with the digits reversed

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Is my answer correct? 10 points + brainleist!
Liono4ka [1.6K]

Answer:

your answer is incorrect.  The correct answer is  h=-13  and k=13 .

Step-by-step explanation:

If a quadratic function is f(x)=ax^2+bx+c and a>0, then minimum value of the function at point \left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right).

The given function is

f(x)=x^2+bx+182

Here, a=1, b=b and c=182. So.

-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}

Put x=-\dfrac{b}{2} in the given function to find the minimum value of the function.

f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182

We know that minimum value is 13. So,

13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182

13-182=-\dfrac{b^2}{4}

-169=-\dfrac{b^2}{4}

169\times 4=b^2

Taking square root on both sides.

13\times 2=b

b=26

The value of b is 26.

So, the given function is  

f(x)=x^2+26x+182

Now, add and subtract square of half of coefficient of x.

f(x)=x^2+26x+182+(13)^2-(13)^2

f(x)=(x^2+2(13)x+(13)^2)+182-169

f(x)=(x+13)^2+13

On comparing with f(x)=(x-h)^2+k, we get

h=-13

k=13

Therefore, your answer is incorrect.

8 0
3 years ago
What is the value of y?
Ratling [72]
The answer to the question I believe is 3.
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3 years ago
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For the answer to the question, <span>what is the probability that he gets a number greater than 2 or an odd number? My answer is 
</span><span>all possible rolls are > 2 or odd, except (2), so 5/6

I hope my answer helped you. Feel free to ask more questions. Have a nice day! </span>
7 0
3 years ago
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4200ft divided by 20 ft per second divided by 60 seconds is 1400 minutes
5 0
3 years ago
Assuming that x=-2 and y=3 evaluate xy-x^3 ​
meriva
(-2^3) = -8.
-2 times 3 = -6.

The expression is now -6 - (-8).

-6 + 8 = 2.

The answer should be 2.
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