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Papessa [141]
3 years ago
6

What is the scientific notation for 0.0001

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
Scientific notation is written as
(number<u>></u>1 and <10) times (10^x) so
count how many decimal places must be moved for the number to be <u>></u>1 and <10
the number must be 1.0 or 4 decimal places
put that in the x
but it makes the number bigger so make x negative

1 times 10^-4 is the scientific notation
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3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.
valentinak56 [21]

                   \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

            <em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em>                 3x-2y=4.</em>

<em />

<em>  </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

\rightarrow First, add 2y on both sides:-

                            \Large\textsf{3x+2y=4}

\rightarrow Now, subtract 3x on both sides:-

                  \Large\textsf{2y=-3x+4}

\rightarrow Divide by 2 on both sides

    \Large\text{$y=-\displaystyle\frac{3}{2}x +2$}

\rule{300}{3}

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

\Large\text{$-\displaystyle\frac{3}{2}$}

Now let's write the equation in point-slope form:-

\hookrightarrow\sf{y-y_1=m(x-x_1)}

Replace numbers with letters, as follows:-

\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}

Now, Add 5 on both sides:-

\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}

\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

4 0
2 years ago
I need help with this problem please help :)
wel
Hello! To find the answer to this, let’s do 6x + 4x = 180. Combine like terms and you get that 10x = 180. Divide each side by 10 in order to get 18. Angle 1 = 108 degrees and Angle 12 = 72 degrees. Odd number angles match each other and even number angles match each other. In this case, 5 has the same angle measurement as 1, which is 108. The answer is D: 108 degrees.
3 0
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How do you convert 5/33 into a decimal?
sukhopar [10]

Answer:You divide 5 by 33, which is 0.151515 (with the 15 repeating)

Step-by-step explanation:

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melomori [17]

Answer:

D

Step-by-step explanation:

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