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Triss [41]
2 years ago
15

Show the following is a right triangle by using the Pythagorean Theorem. Dhow your work .

Mathematics
1 answer:
german2 years ago
5 0

Step-by-step explanation:

a=15

b=8

c=17

*

a^{2}  + b^{2}  = c^{2}

(15)^{2}  + (8)^{2}  = (17)^{2}

289=289

Proved

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
3 years ago
Helppppp rn please.
scoundrel [369]
1) neither. that’s not one of your answer choices so just pick one (maybe odd ‍♀️)
2) 2 is the answer. Plug in 1 for x, raise everything to its power (which will end up being 1), then use PEMDAS to solve
5 0
3 years ago
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V125BC [204]

Answer:

y = 2x+1

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did th
12345 [234]

Answer:

41.86 miles each hour

Step-by-step explanation:

Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did they drive each hour?

This Question is calculated as:

7 hours = 293 miles

1 hour = x miles

Cross Multiply

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x = 293 miles/7 hours

x = 41.857142857 miles per hour

x ≈ 41.86 miles per hour

Hence, they drove 41.86 miles each hour

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Answer

Step-by-step explanation:

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