Mathematics: The difference between two numbers is 14 and the difference between their squares is 448, then find the numbers.

The difference between two numbers is 14 and the

Ответ:

alondrasanchezvillan

31.12.2021

Mathematics

23, 9

Step-by-step explanation:

Let a, b - be the numbers.

$a-b = 14\\a^2-b^2=448 = (a-b)(a+b) = 448\\(14)(a+b)=448\\a+ b = 448/14 = 32$

$a - b = 14\\a + b = 32\\2a = 46\\a = 23 = b = 9$

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Ответ:

dylanolmeda9

19.02.2023

Mathematics

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

$A = \frac{(n-2)*180}{n}$

For A = 160 degrees:

$160n=(n-2)*180\\(180-160)n=360\\n=18\ sides$

If each side is 100 ft long, the total distance that Rebecca has walked is:

$d = 18*100\\d=1,800\ ft$

She walked 1,800 ft.

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The difference between two numbers is 14 and the difference between their squares is 448, then find the numbers.

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