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Vanyuwa [196]
3 years ago
6

Write the equation of the line that is parallel to the line y=3x+6and passes through the point (4, 7)

Mathematics
1 answer:
coldgirl [10]3 years ago
4 0

Answer:

So, we will be using point-slope form to construct this equation.

Point-slope form's general formula is as follows:

Y - Y1 = m( X - X1)

M is the slope,

Y₁ is the Y-coordinate of the point

X₁ is the X- coordinate of the point.

So, our slope is 3 (since the equation is given in slope-intercept form)

Our Y₁ is 7 and out X₁ is 4    

So, now we just plug our numbers into the equation.

There's your equation.

Y - 7 = 3( X - 4).

Hope this helps!

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now, for the second one, we know the diameter is 10, thus its radius is half that or 5.

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ V=225 \end{cases}\implies 225=\cfrac{\pi (5)^2 h}{3}\implies 225=\cfrac{25\pi h}{3} \\\\\\ \cfrac{225}{25\pi }=\cfrac{h}{3}\implies \cfrac{9}{\pi }=\cfrac{h}{3}\implies \cfrac{27}{\pi }=h\implies 8.59\approx h\implies \stackrel{\textit{rounded up}}{8.6=h}

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4 years ago
Write an expression equivalent to<br> x^2+7x+6x
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2 years ago
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The answer is -0.48.

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