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oksano4ka [1.4K]
2 years ago
11

Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?

Mathematics
1 answer:
lianna [129]2 years ago
3 0

Answer:

4 dimes

2 nickels

Step-by-step explanation:

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Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
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\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
2 years ago
H(n)=-2n^2+4; find h(4)
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Answer: h(4) = 36

Step-by-step explanation:

All you have to do is plug in 4 to the equation.

So, h(4) = 2(4)^2+4

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Answer:

(See explanation for further details)

Step-by-step explanation:

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Classification based on sides:

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Obtuse-Angled - One angle is obtuse. (0^{\circ} < \theta < 90^{\circ},90^{\circ}

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