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IceJOKER [234]
3 years ago
14

The product of two consecutive positive even integers is 440. what are the integers

Mathematics
1 answer:
Natali [406]3 years ago
4 0
1st integer: x
2nd integer: x+2 

Multiply them: x(x+2)=440
X^2+2x-440=0 
Use the quadratic formula 
x=-22 or x=20 
Since x must be a positive integer number, x=20.

Answer: 
1st: 20.
2nd: 22 

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Given that Phil traveled with his family by car. They started their trip from Lexington to Louisville, driving directly west for 60 miles.

So AB=60


They then turned North, driving to Indianapolis which is 100 miles from Lexington.

So AC=100


Then, they turned to the West again, and drove to Decatur which which is 170 straight miles from Louisville.

so BD=170


Now we have to find about how many miles did they cover in total driving from Lexington to Decatur.

That means we have to find length of (AB+BC+CD)

We can use Pythogorean theorem to find the values of BC and CD.

BC=\sqrt{AC^2-AB^2}=\sqrt{100^2-60^2}=\sqrt{10000-3600}=\sqrt{6400}=80


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then (AB+BC+CD)=60+80+150= 290

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