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4 years ago

Find the constant of variation k for the direct variation 3x+5y=0

Mathematics

1 answer:

Eva8 [605]4 years ago

3 0

Answer:

-3/5

Step-by-step explanation:

3x+5y=0

Subtract 3x from each side

3x+5y-3x=0-3x

5y = -3x

Divide each side by 5

5y/5 = -3x/5

y = -3/5 x

A direct variation is y = kx

y = -3/5 x

The constant of variation is -3/5

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(2a^x + b^x)^2 i need help ASAP

Finger [1]

Answer:

4 $a^{2x}$ + 4 $a^{x}$ $b^{x}$ + $b^{2x}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

(2 $a^{x}$ + $b^{x}$ ) = (2 $a^{x}$ + $b^{x}$ )(2 $a^{x}$ + $b^{x}$ )

Each term in the second factor is multiplied by each term in the first factor, that is

2 $a^{x}$ (2 $a^{x}$ + $b^{x}$ ) + $b^{x}$ (2 $a^{x}$ + $b^{x}$ ) ← distribute both parenthesis

= 4 $a^{2x}$ +2 $a^{x}$ $b^{x}$ + 2 $a^{x}$ $b^{x}$ + $b^{2x}$ ← collect like terms

= 4 $a^{2x}$ + 4 $a^{x}$ $b^{x}$ + $b^{2x}$

6 0

3 years ago

A small country had a population of 2,254,000 people in the year 2012. If the population grows steadily

Anuta_ua [19.1K]

Step-by-step explanation:

year 2012 population = 2,254,000*3.5%

= 78.89

each year up to 2020

so 2020 - 2012 =8

78.89*8 = 631

total population at end of 2020 =2,254,000 + 631

= 2,254631

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3 years ago

Which of the following best describes the graphs below?

Sholpan [36]

Answer: Your answer would be D

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3 years ago

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Solve for c. ab - c = 9

Butoxors [25]

Ab - c = 9 |subtract ab from both sides

- c = 9 - ab |change signs

c = -9 + ab

c = ab - 9

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3 years ago

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Hitman42 [59]

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