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Deffense [45]
3 years ago
13

The product of two consecutive integers is 110. find the integers?

Mathematics
2 answers:
Annette [7]3 years ago
8 0

<span>When 10 and 11 (or -10 and -11) are multiplied, they equal 110. </span><span>

<span>You can find the answer by solving<span> the following equation:</span></span>
x(x+1)=110
x^2+x-110=0
(x-10)(x+11)=0

<span>Therefore 10*11 and -10*-11 can be the possible answers to your question.</span></span>

Lesechka [4]3 years ago
6 0
Hello,

I shall not resoved an 2th degree for that:

10*11=110 (evident)


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In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs
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8 0
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6. A regular pyramid has a square base. The perimeter of the base is 64 inches and the height of the pyramid is 12 inches. What
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4 0
2 years ago
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
4 years ago
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