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Ierofanga [76]
3 years ago
7

Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

11.4

Step-by-step explanation:

l²+w²=d²

81+49=130

√ 130

11.40175425099138

11.4

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A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was
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A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
fgiga [73]

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\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

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