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3 years ago

Please explain how to do this math

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

x=9

Step-by-step explanation:

First, distribute the 2 and each value in the parentheses.

2*x+2*5. This is the first half of the equation.

2*x+2*5= 3x+1 You can then simplify

2x+10=3x+1 Subtract 3x from both sides

(2x-3x)+10=(3x-3x[cancels out])+1

-x+10=1 Now subtract 10 from both sides

-x(10-10[cancels out to 0])=(1-10)

-x=-9 Since x is negative we need to solve for positive

x=9

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3 years ago

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

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

7 0

3 years ago

Please explain how to do this math​

Please explain how to do this math