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sergij07 [2.7K]
2 years ago
15

The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determin

ed by its length (x).
Which describes what the point (2, 0) represents?
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
3 0
200 would be the correct answer
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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
If two lines intersect, then their intersection is exactly one point. ...draw a sketch to illustrate
Lostsunrise [7]
Just sketch two lines crossing each other like a street intersection.
4 0
3 years ago
la razon entre los pesos de juan y su padre es 2:5, si sus pesos suman 105 kg, ¿cuanto pesa juan y cuanto pesa su papa?
Afina-wow [57]
Is Kevin Nash
La u si
8 0
3 years ago
I need help with solving this
leva [86]

Answer:

49

Step-by-step explanation:

Positive 49 not -49

3 0
3 years ago
Choose the point-slope form of the equation below that represents through the points (-3,2) and (2,1)
s2008m [1.1K]

Answer:

-1/4

Step-by-step explanation:

2-1 over -3-1 = 1/-4

3 0
3 years ago
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