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kodGreya [7K]
2 years ago
5

The sum of two numbers is eight one number is four less than the other find the numbers

Mathematics
2 answers:
mash [69]2 years ago
4 0

Step-by-step explanation:

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

2y - 4 = 8

2y = 12

y = 6

x = y - 4 = 6 - 4 = 2

LuckyWell [14K]2 years ago
3 0

Answer: The answer is 6 and 2

Step-by-step explanation:

X is first number, Y is second

x + x - 4 = 8

2x = 12

x = 6

Y = x - 4

Y = 6 - 4

Y = 2

x = 6

Y = 2

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irakobra [83]

Answer:

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b) In this case u=\sec(2x) hence du=2\tan(2x)\sec(2x)dx. We rewrite the integral as \int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C.

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Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.  

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Answer:

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