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uranmaximum [27]
3 years ago
10

Find the equation of a line containing the given point and slope (10,5); m=9/20

Mathematics
1 answer:
ohaa [14]3 years ago
6 0
\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 10}}\quad ,&{{ 5}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{9}{20}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-5=\cfrac{9}{20}(x-10)\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-5=\cfrac{9}{20}x-\cfrac{9}{2}\implies y=\cfrac{9}{20}x-\cfrac{9}{2}+5\implies y=\cfrac{9}{2}x+\cfrac{1}{2}
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Studentka2010 [4]

Answer:

3/5   or

0.6

Step-by-step explanation:

You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.

x - 2/5 = 1/5                        Add 2/5 to both sides

x - 2/5 + 2/5 = 1/5 + 2/5     The left side cancels to 0.

x = 1/5 + 2/5                       The denominators (bottom the fraction) are the same. Just add the tops.

x = (1 + 2)/5

x = 3/5

=======================

If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5

2

÷

5

=

0.4

By the same method, 1/5 = 0.2

Substitute into the original equation

x - 0.4 = 0.2                       Add 0.4 to both sides

x - 0.4 +0.4 = 0.2 + 0.4    The left side reduces just to x

x = 0.2 +0.4

x = 0.6

If you let your calculator do the work, like this

3

÷

5              

=

0.6

The answers are the same.

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3 years ago
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Step-by-step explanation:

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3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the
Varvara68 [4.7K]

Answer:

650

Step-by-step explanation:

lets say the # of standard version is x and the # of high-quality version is y

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Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

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Diameter of the pot = 8 in

⇒ Radius = 4 in

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⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

                                   = 301.44 in³

  • Step 2: Convert inches to quarts.

1 in³ = 0.017316 liquid quarts

⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts

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