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agasfer [191]
3 years ago
14

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)

Mathematics
1 answer:
vredina [299]3 years ago
8 0

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}

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$25.75 is how much money she saved up each week
5 0
3 years ago
In a video game, Agnes scored 20% fewer than Amy. Amy scored 860
vovangra [49]

Answer:

\huge\boxed{\sf Agnes\ Score = 688\ points}

Step-by-step explanation:

\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points

Since, Agnes scored 20 % fever than Amy.

So,

Agnes Score = Amy's Points - 20 % of Amy's Points

Agnes Score = 860 - 172

Agnes Score = 688 points

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
8 0
3 years ago
If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people li
labwork [276]

\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}

  • Cricket = 55%
  • Football = 30%
  • Other games = Remaining (?)

So, the percent of people who like <u>other games</u> equals:

= 100 – (55 + 30)

= 100 – 85

= 15%

<u>If </u><u>the </u><u>total </u><u>no.</u><u> </u><u>of.</u><u> </u><u>people</u><u> </u><u>is </u><u>6</u><u>0</u><u>,</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u>:

★ Cricket

= 60,00,000 × 55/100

= 33,00,000

★ Football

= 60,00,000 × 30/100

= 18,00,000

★ Other sports

= 60,00,000 × 15/100

= 9,00,000

6 0
2 years ago
How many virtical angles are there?<br><br><br> a)m 4<br><br> b) 8<br><br> c) 11<br><br> d) 14
lara31 [8.8K]
A) 4

∠14 & ∠12
∠11 & ∠13
∠10 & ∠8
∠7 & ∠9

vertical angles are angles directly opposite of each other and are of the same measurement.

hope this helps
5 0
3 years ago
Which relation is a function.
GREYUIT [131]

Answer:

its B

Step-by-step explanation:

I just did it

7 0
2 years ago
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