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4 years ago

Three consecutive even integers have a sum of -126. What is the smallest integer ?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

-40, - 42 and -44

Step-by-step explanation:

The fastes way here is trying. Lets pick a number, intelligently, and then work on it.

We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:

(-42)+ (-44) + (-46) = - 132, so -42 no.

Lets go a step back: -40

(-40) + (-42) + (-44) = -126

So, the integers are -40, -42 and -44

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Step-by-step explanation:

The slope of diagonal BD is ...

slope BD = (change in y)/(change in x) = (-4/-2) = 2

The slope of diagonal AC is ...

slope AC = (change in y)/(change in x) = (4/-8) = -1/2

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