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2 years ago

Twice the difference of a number and 3 is equal to 2

Mathematics

1 answer:

REY [17]2 years ago

3 0

Answer: x = 4

Step-by-step explanation:

We'll call the number "x."

"Twice the difference of a number and 3" means 2(x-3)

is equal to 2: =2

Put them together:

2(x-3) =2

2x - 6 = 2

2x = 8

x = 4

Check:

2(x-3)

Twice the difference of a number and 3 is equal to 2

2(4 - 3) = 2 ?

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Step-by-step explanation:

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2 years ago

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andre [41]

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

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Also notice, the "c" distance from the center to either foci, is just 5 units.

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

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
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\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
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