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fredd [130]
2 years ago
5

during a figure skating routine Jackie and Alex begin together and skate apart. The angle between them is 20 degrees Alex skates

5 meters while Jackie skates 3 meters
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
7 0
What’s the question?
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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
Help a brother out #2
valentinak56 [21]

Answer:

He is αβ 60° and 30° i need some in my answers 5 brain list answers

5 0
2 years ago
i need you to increase the number of customers you talk to daily by 20% i talk to an average of 8 customers per hour during an 8
Scrat [10]
I hope this helped your question

4 0
2 years ago
What is the value of log, 3437
Romashka [77]

Answer:

i got 3.5....................

8 0
3 years ago
Simplify.<br>y^5 ÷ y^3 × y^2 <br>NEED HELP ASAPP PLEASEEE ??? <br>Will get BRAINLIEST***​
Volgvan

Answer:

y^5  ÷  y^3 * y^2 = y^4

Step-by-step explanation:

https://www.symbolab.com/solver/factor-calculator/Simplify%20y%5E%7B5%7D%5Cdiv%20y%5E%7B3%7D%C3%97y%5E%7B2%7D%20

(use that link if you want to see the work for yourself)

:)

3 0
3 years ago
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