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yarga [219]
3 years ago
15

Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to find a

right triangle with leg lengths of 16 and an odd number.
Mathematics
1 answer:
Levart [38]3 years ago
5 0
Hi,
2xy is even ==>2xy=16==>xy=8 ==>(x=8 and y=1) or (x=4 and y=2)
1) if x=4 and y=2 thenx²=16 and y²=4 x²+y²=16+4=20 is not oddx²-y² =16-4=12 is not also odd: impossible
2) if x=8 and y=1 thenx²=64, y²=1x²+y²=64+1= 65 possiblex²-y²=64-1=63The triple is (63,5,65) and 63²+5²=65²

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8 0
3 years ago
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last summer at Camp okeefenokee the ratio of the number of a boy campers to the number of girl campers with 8:7. If there were a
Stels [109]
Number of boys=x
number of girls=y.

We can suggest this system of equations:
x/y=8/7                  ⇒x=8y/7
x+y=195

this system of equations can be solve by substitution method.

(8y/7)+y=195
least common multiple=7
8y+7y=1365
15y=1365
y=1365/15
y=91

x=8y/7
x=8*91 / 7
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Answer: there were 104 boy campers and 91 girl campers.
6 0
3 years ago
Which of the following is a factor of (x+y)³-(x+y)³
IgorC [24]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h3>Answer :</h3>

The factor of (x + y)³- (x³ + y³) is <u>3xy</u>

<h3>Step By Step Solution :</h3>

→ (x + y)³- (x³ + y³)

→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]

→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]

→ (x + y) (3xy)

→ 3xy

∴ Option d. 3xy is correct!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

6 0
3 years ago
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6 0
4 years ago
Round 14,456 to nearest ten
V125BC [204]

Answer:

14,460.

Step-by-step explanation:

14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.

7 0
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