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ch4aika [34]
4 years ago
8

Determine the equation of the line with the points (–13,10) and (16, 15).

Mathematics
1 answer:
Fantom [35]4 years ago
3 0

\bf (\stackrel{x_1}{-13}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-10}{16-(-13)}\implies \cfrac{5}{16+13}\implies \cfrac{5}{29}

\bf \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-10=\cfrac{5}{29}[x-(-13)] \\\\\\ y-10=\cfrac{5}{29}(x+13)\implies y-10=\cfrac{5}{29}x+\cfrac{65}{29}\implies y=\cfrac{5}{29}x+\cfrac{65}{29}+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{5}{29}+\cfrac{355}{29}~\hfill

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Ad libitum [116K]

Answer:

60 degrees

Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

The length of the arc of the sector is 12.56 cm.

We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

1/6 * 360 degrees = 60 degrees

4 0
3 years ago
If a roll of vinyl costs 37$ and is a total of 210 sq in how much is each square inch and how to I figure that out?​
fenix001 [56]

Answer:

0.176 $

Step-by-step explanation:

Write a proportion.

37 dollars is to 210 square inches as x dollars is to 1 square inch.

37 $ / 210 in² = x / 1 in²

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3 years ago
Question in image, please help
Nookie1986 [14]

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Step-by-step explanation:

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3 years ago
Could someone help with question 3?
Harlamova29_29 [7]

Answer:

The last option

Step-by-step explanation:

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y = 0.35(100) +1.5

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The sum of two numbers is 62, and their difference is 8. What are the<br> numbers?
Marina CMI [18]

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Step-by-step explanation:

We can solve this by using a system of equations

x will be the first number while y will be the second

x+y=62

This equation means the two numbers will add to get 62

x-y=8

This equation means when subtracted the two numbers will have the difference of 8.

Now I will solve by elimination

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When adding the two equations why was eliminated so now we can find the value of x

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Now sub in x into one of the original equations to find the value of y

35+y=62\\35-35+y=62-35\\y=27

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3 years ago
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