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Aleks04 [339]
3 years ago
10

I need help with classifying angles

Mathematics
2 answers:
weeeeeb [17]3 years ago
8 0
Acute has the word cute in it and small things can be cute so to remember a small angle/ acute angle use that trick.
Obtuse sounds big so it is a big angle
givi [52]3 years ago
3 0
Angles<span> can be either straight, right, acute or obtuse. An angle</span><span> is a fraction of a circle where the whole circle is 360°. A straight </span>angle<span> is the same as half the circle and is 180° whereas a right </span>angle<span> is a quarter of a circle and is 90°

hope this helped.</span>
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the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

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