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2 years ago

I really need help

Mathematics

1 answer:

kotegsom [21]2 years ago

7 0

Answer:

Option C. is the correct answer

Step-by-step explanation:

Choose any value of x and find the values of y. Then plot a graph using all that points. These will neither parallel nor perpendicular.

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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

2 years ago

This meal originally costs $75. Fatima used a 20% off coupon and then tax was added. The total after coupon and tax was $75.

Savatey [412]

The discount given on the cost of the meal is $15

<h3>How to calculate tax on a given price</h3>

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

Required

The number of coupons given

coupon amount = 0.2 * 75
coupon amount = $15

Hence the discount given on the cost of the meal is $15

Learn more on discounts here: brainly.com/question/24304697

5 0

1 year ago

9/16 divided by 9 plz help thx for everyone that has helped me

Verizon [17]

0.5625 will be the answer to 9 divided by 16

3 0

2 years ago

Jordan’s baked 4 apple pies.She wants to share them equally among 3 of her neighbors.What fractional part of the pies will each

kodGreya [7K]

Answer:

they will each get 1 and 1/3 pie

Step-by-step explanation:

5 0

3 years ago

What is the value of the function when x = 0?<br><br> x −2 0 1 3 6<br> y 1 3 4 2 0

labwork [276]

$\begin{array}{ccccccccccc}x&|&-2&|&\boxed0&|&1&|&3&|&6\\-&-&-&-&-&-&-&-&-&-&-\\y&|&1&|&\boxed3&|&4&|&2&|&0\end{array}\\.\\\\\boxed{f(0)=3}$

6 0

2 years ago

I really need help ​

I really need help