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BigorU [14]
3 years ago
7

The sum of the squeres of two consecutive positive even numbers is 340. Find the numbers

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

The numbers are 12 and 14 ONLY

Step-by-step explanation:

To find the answer, set up an equation.

Set  

x

equal to the lower number, and  

x

+

2

as the higher number since they are consecutive even numbers so they are two apart.

Now write out the equation according to the question

(

x

)

2

+

(

x

+

2

)

2

=

340

x

2

+

x

2

+

4

x

+

4

=

340

Combine like terms.

2

x

2

+

4

x

+

4

=

340

Set equal to zero so you can factor.

2

x

2

+

4

x

−

336

=

0

(

2

x

+

28

)

(

x

−

12

)

=

0

x

=

−

14

,

12

x

=

12

because the answer must be positive according to the question.

That means  

x

+

2

is 14.

You can double check:

(

12

)

2

+

(

14

)

2

=

340

 

144

+

196

=

340

340

=

340

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7 0
2 years ago
I'm am very confused with this question.
stich3 [128]

Answer:

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Step-by-step explanation:

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<u>Opposite angles are supplementary:</u>

  • ∠A +  ∠C = 180°
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<u>Find x:</u>

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bekas [8.4K]

Answer:

no

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Step-by-step explanation:

First determine how long it will take her to read the entire book

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--------------  = ----------------

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Using cross products

20x = 35*47

20x=1645

Divide by 20

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x =82.25 minutes

This is more than 1 hour ( 1 hour = 60 minutes)

82.25 minutes - 60 minutes = 22.25 minutes

She will need 22.25 more minutes

3 0
3 years ago
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mafiozo [28]

Answer:

Step-by-step explanation:

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7 0
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