1 5/12 + 2 2/3 + 3 1/4

Mathematics

2 answers:

LiRa [457]2 years ago

7 0

Answer:

88/12 = 7 4/12

Step-by-step explanation:

First, let's convert the mixed fractions into improper fractions. Next, I am going to make the denominators same. Then I am going to add the fractions to obtain my answer.

1 5/12 + 2 2/3 + 3 1/4
=> 17/12 + 8/3 + 13/4
=> 17/12 + 32/12 + 39/12
=> 49/12 + 39/12
=> 88/12 = 7 4/12

Hence, the solution is 88/12 or 7 4/12.

Vlada [557]2 years ago

5 0

Answer:

1/3

Step-by-step explanation:

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PLEASE HELP!!! WILL GIVE BRANLIEST

Rus_ich [418]

Check the picture below, so the hyperbola looks more or less like that.

based on the provided vertices, its center is at the origin, as you see there, the "a" component or traverse axis is 4, the "c" distance is 5.

$\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h, k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------$

$\bf \begin{cases}
h=0\\
k=0\\
c=5\\
a=4
\end{cases}\implies \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{b^2}=1
\\\\\\
\stackrel{c}{5}=\sqrt{4^2+b^2}\implies 5^2=16+b^2\implies 25=16+b^2
\\\\\\
9=b^2\implies \sqrt{9}=b\implies \boxed{3=b}
\\\\\\
\cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{3^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{9}=1$