Mathematics: The difference of the squares of two positive consecutive even integers is 28. find the integers. use the fact that, if x represents an even integer, then x+2 represents the next consecutive even integer.

The difference of the squares of two positive consecutive

Ответ:

Kaesy24

16.03.2022

If x is the first even integer, then the next is x+2.
The difference of their squares is (x+2)^2 - x^2, and this is equal to 28.
Expanding:
x^2 + 4x + 4 - x^2 = 28
4x + 4 = 28
4x = 24
x = 6
x+2 = 8
Therefore, the two numbers are 6 and 8.

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Ответ:

sharondacarruth1656

30.07.2020

Mathematics

$\sqrt{\frac{9}{4}}$ < $\frac{5}{3}$ < $\sqrt{5}$ < 2.5

Step-by-step explanation:

Given the following numbers, $\sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3}$ , let's express each as whole or decimal numbers, to find out the least to the greatest.