3 years ago

Use the graph to find the slope of the line. Tell what the slope means in this context.

Mathematics

1 answer:

lys-0071 [83]3 years ago

6 0

The slope means the depth per second

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$

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2 years ago

I need help with these two

Alika [10]

Answer:

19. A

20. A

Step-by-step explanation:

19. tan(53)=15/x

x(tan(53))=15

x=15/(tan53))

x=11.3 feet

20. tan(60)=12/x

x(tan(60))=12

x=12/(tan(60))

x=6.93, or 4sqrt3

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3 years ago

Tim Worker decided to purchase a new DVD player on an installment loan. The DVD player was $295.00. Tim agreed to pay $31.00 per

Kryger [21]

Hi there

Total paid
31×12
=372
finance charge
372−295
=77

Hope it helps

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the 25 members of the reading club are buying a book to discuss at the next meeting but Club leader got a special price the book

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25*8.14=?

Multiply the cost of the book per person ($8.14) by the number of people (25).

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hoa [83]

Answer:

Step-by-step explanation:

I had the same question

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