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3 years ago

6A.) Write an equation for:64 equals 33 more than a number y

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

Answer:

a) 64 = y + 33

b) y = 31

Step-by-step explanation:

follow the word problem and solve when needed

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Please help. ❗❗❗❗❗<br>osmqbshxissjwvgxkoqjwvwnmddk

Lunna [17]

Answer:

Step-by-step explanation:

This makes the most sense.

7 0

3 years ago

7m + 2 = 6n - 5<br> Write a formula for f(m) in terms of m.

vlada-n [284]

Answer: m = 6/7n-1

Step-by-step explanation: to get 7m alone dirst we must subtract 2 from both sides so 2-2 = 0 and -5 - 2= -7 so 7m= 6n-7 and divide both sides by 7 to get m alone so 6n divided by 7 = 6/7n and -7 divided by 7 equals -1 so we're left with m= 6/7n-1

8 0

3 years ago

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!

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3 years ago

15 POINTS can someone please help me with this?

jarptica [38.1K]

X=55 Explanation: the square is a right angle symbol and that means the angle is 90 degrees so just subtract 35 from the 90 to get x

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3 years ago

Carlos has 4 fifths of a tank of fuel in his car. He uses 1 tenth of a tank per day. How many days will his fuel last?

AnnyKZ [126]

8 days because 4/5 = 8/10 and he is using 1/10 a day.

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3 years ago

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