3 years ago

Solve similar triangles (advanced) Solve for X X=?

Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

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Sarah and Gavyn win some money and share it in the ratio 5:3.Sarah gets £14 more than Gavyn.How much did Gavyn get?

liq [111]

Answer:

£21

Step-by-step explanation:

Sarah : Gavyn = 5:3

Sarah's share = 5x

Gavyn's share = 3x

5x - 3x = 14

2x = 14

x = 14/2

x = £ 7

Gavyn's share = 3x = 3 * 7 = £21

3 0

3 years ago

What is the vertex form of the quadratic equation represented on the table?

sergeinik [125]

Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table

$~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}$