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3 years ago

Please answer it would mean so much to me :)

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

y = $\frac{1}{3}$ x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y = 4 ( subtract 3x from both sides )

y = - 3x + 4 ← in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$

Given c = 2 , then

y = $\frac{1}{3}$ x + 2 ← equation of perpendicular line

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andriy [413]

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He will eat 63 pounds of fruit each year!

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3 years ago

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The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

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$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

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$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

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Paladinen [302]

I think you intended writing #30 as his pay rise instead of #30000. I solved the problem using #30 as his annual pay rise.

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Step-by-step explanation:

Extracting the key information from the question:

*** A man got a pay raise for 10 years.

*** His current salary is #1,014

*** He gets a pay raise of #30 annually.

*** We are simply required to calculate his initial salary before he started receiving pay rise.

Now, To calculate his initial salary before he started receiving pay rise, let us denote that initial salary that we are currently unaware of by "a".

Since his salary as at today is #1,014 and he has also received this pay rise of #30 for 10 years, we can calculate his initial salary before he started receiving pay rise every year with the following equation:

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4 years ago

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