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Furkat [3]
4 years ago
14

The sum of two positive integers is 13 the difference between these numbers is 7 what is their product ? Explain :

Mathematics
2 answers:
olasank [31]4 years ago
5 0
A+b=13
a-b=7
add the two equations using system of equations
2a=20
a=10
10+b=13
b=3
DerKrebs [107]4 years ago
4 0

Answer:

Step-by-step explanation:

Let one number be x

Other number = 13 - x         {as sum of two numbers is 13}

x - [13 -x] = 7   { difference of two numbers is 7}

x - 13 +x =7

2x - 13 = 7

2x = 7 + 13

2x = 20

x = 20/2

x = 10

One number = 10

Other number = 13 - 10 = 3

Product = 10 * 3 = 30              

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3 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

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3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
At which approximate x-value are these two equations equal? A. 0. 5 B. 0. 8 C. 1. 2 D. 1. 4.
Alinara [238K]

Answer:

What are the two equations?

Step-by-step explanation:

Once u answer that I'll edit this and answer ur question :)

5 0
2 years ago
Find the greatest common factor of these three expressions.<br> 18u^3 , 45u^2 , and 27u
stiv31 [10]

Answer:

9u

Step-by-step explanation:

18u³ / 9u = 2u²

45u²/9u = 5u

27u / 9u = 3

4 0
4 years ago
How does the multiplicity of a zero affect the graph of the polynomial function?
enot [183]

Answer:

The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis

Step-by-step explanation:

Tbh I don't know the answer I just hope this helps

7 0
3 years ago
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