3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Y=4/3x-7 y-intercept is -7 and slope is 4/3

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3 years ago

Which ordered pair would form a proportional relationship with the point graphed below? 40 (-20,40) 30 20 10 -40-30-20-190 10 20

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(15,-30)

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By forming a proportional relationship with the marked point, what we are saying is that the same dilation if applied to each coordinates of the marked point will form the new point

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If we dilate this by -0.75 units

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A model rocket is launched with an initial upward velocity of 100 ft/s. The rocket's height h (in feet) after t seconds is given

tamaranim1 [39]

$\bf \stackrel{h}{34}=100t-16t^2\implies 16t^2-100t+34=0\\\\\\ 8t^2-50t+17=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\stackrel{\stackrel{a}{\downarrow }}{8}t^2\stackrel{\stackrel{b}{\downarrow }}{-50}t\stackrel{\stackrel{c}{\downarrow }}{+17}=0
\qquad \qquad 
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$\bf t=\cfrac{ - (-50) \pm \sqrt { (-50)^2 -4(8)(17)}}{2(8)}\implies t=\cfrac{50\pm \sqrt{2500-544}}{16}
\\\\\\
t=\cfrac{50\pm\sqrt{1956}}{16}\implies t=\cfrac{50\pm\sqrt{4\cdot 489}}{16}\implies t=\cfrac{50\pm\sqrt{2^2\cdot 489}}{16}
\\\\\\
t=\cfrac{50\pm 2\sqrt{489}}{16}\implies t=\cfrac{25\pm \sqrt{489}}{8}\implies t\approx
\begin{cases}
5.88916805\\
0.36083195
\end{cases}$

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