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skad [1K]
3 years ago
13

When the number formed by reversing the digits of a two digit number is added to the original number, the sum is 99. If the same

number is subtracted from the original number, the difference is 27. Find the original number.​
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

The sum of the digits of a two digit number is subtracted from the original number. The new number must be divisible by what numbers?

Step-by-step explanation:

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Solve using the quadratic formula 2x^2+8x-5=0
Ede4ka [16]

Step-by-step explanation:

Hey there!!

Given,

{x}^{2}  + 8x - 5 = 0

Comparing it with ax^2+bx+c =0 we get,

a= 1, b= 8, c= -5.

Using formula,

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}

Keep all values,

x =   \frac{ - 8 +  -  \sqrt{ {8}^{2}  - 4 \times 1 \times ( - 5)} }{2 \times 1}

x =  \frac{ - 8 +  -   \sqrt{64 + 20}  }{2}

x =    \frac{ - 8 +  -  \sqrt{84} }{2}

x =  \frac{ - 8 +  - 2 \sqrt{21} }{2}

Taking negative,

x =   \frac{ - 8 - 2 \sqrt{21} }{2}

x =   \frac{ - 2(4 +  \sqrt{21}) }{2}

x = 4 +  \sqrt{21}

Similarly, taking positive,

x =  \frac{ - 8 + 2 \sqrt{21} }{2}

x =  \frac{ - 2(4 -  \sqrt{21} ) }{2}

x = 4 -  \sqrt{21}

Therefore, x= (4 + root 21, 4 - root 21).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
What is the greatest common factor of 72 and 45
luda_lava [24]
AWNSER:
9

Explanation:

7 0
3 years ago
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Can you please help me what is the vertex form of f(x)=x²-6x+14 please help :&lt;​
makkiz [27]

hye you want answer of this question ?

6 0
4 years ago
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Find the volume and surface area of this triangular prism. 12 cm 13 cm 18 cm and 5 cm ​
Ipatiy [6.2K]
⇒ s = a+b+c2=5+12+132 a + b + c 2 = 5 + 12 + 13 2 = 15 cm.
Area of the base = √s(s−a)(s−b)(s−c)
= √15×10×3×2 15 × 10 × 3 × 2 cm2 = 30 cm2
3 0
2 years ago
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A fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answ
Leni [432]

Answer:

50%

Step-by-step explanation:

So, we divide by another 2! to cancel out double counting of two T's. Finally, if we divide all 6 different ways of getting exactly 2 heads (and 2 tails) in 4 flips by all possible outcomes 2 * 2 * 2 * 2 = 16 we would get the probability of exactly 2 heads in 4 flips.

5 0
3 years ago
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