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butalik [34]
3 years ago
11

Which expressions are equivalent to 3 1/4 - (-1/2) select all that apply

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
3 \dfrac{1}{4} - ( -  \dfrac{1}{2} ) =  3 \dfrac{1}{4} +  \dfrac{1}{2}  =  3 \dfrac{1}{4} +  \dfrac{2}{4}  =   3 \dfrac{3}{4}
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Find the area of a triangle with sides 8 equals 5 b equals 8 and C equals 11
IceJOKER [234]
I round the answer to the second digit and get 18.33

4 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!
4 0
3 years ago
At the grocery store, an 8-inch cherry pie costs $4.39 and a similar 10-inch cherry pie cost $6.15. which is the better deal?
ValentinkaMS [17]
For the 8 inch pie you are paying about 55 cents per inch 
for the 10 inch pie you are paying about 61 cents per inch 
so the 8 inch pie is a better deal 

hope this helped 
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5 0
3 years ago
$46.80 x 12?<br> im accually confused
777dan777 [17]

Answer:

$561.6

Step-by-step explanation:

You are basically multiplying 46.80 twelve times.

Hope this helps youuu ;)

6 0
3 years ago
Read 2 more answers
Principal Leroy Jenkins wants to build a circular garden in the school courtyard. The garden will have a diameter of 20 feet. Pr
Dovator [93]

Answer:

62.8ft

Step-by-step explanation:

we are to determine the circumference of the garden

circumference = πD

= 3.14 x 20 = 62.8 ft

8 0
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