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3 years ago

Ahh, I need help again. I’m really bad at math. Someone please help me.

Mathematics

1 answer:

Reil [10]3 years ago

6 0

The answer is 8% because each rate (2%) goes up $200, making $1200 at 6% into $1800 at 8%.

Hope this helps!

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Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!

IgorC [24]

Hey there, hope I can help!

$-4x^2+9y^2+32x+36y-64=0$

$\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \ 9y^2+32x+36y-4x^2=64$

$\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \ -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4$
$-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9$
$-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}$

$\mathrm{Convert}\:x\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert}\:y\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \ -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1$

$Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1$

For me I used
$\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1$
$As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}$

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
$\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1$

Hope this helps!

4 0

3 years ago

The Lars family has a moisture farm on the planet Tatooine. They owned 5 acres of land. They sold 2/7 of their land to the Tuske

jeka57 [31]

Answer:

25/7 acres or 3 4/7 acres

Step-by-step explanation:

The sold 2/7 of the land.

1 - 2/7 = 7/7 - 2/7 = 5/7

They have 5/7 of the land left.

5/7 of 5 acres = 5/7 × 5 acres = 25/7 acres = 3 4/7 acres

7 0

2 years ago

A local museum had a total of 38,627 vsitors last year. The museum was open everyday except for four holidays. On average how ma

sweet-ann [11.9K]

38,627/361 = 107.

107 people visit the museum every day according to the information given.

8 0

3 years ago

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there are 5 walnut trees currently in the park park workers will plant 8 more walnut trees today how many walnut trees will the

Salsk061 [2.6K]

Answer:13

Step-by-step explanation:

8 0

3 years ago

Help please <br> Question on left answer bank on right <br> Brainiest answer to whoever is first

allsm [11]

342
Explanation (18*8)+(9*10)+(18*6)

3 0

2 years ago