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AleksAgata [21]
3 years ago
13

Can anyone please help me with this???

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

x=8a

Step-by-step explanation:

(3/a) x - 4 = 20

add 4 to both sides

(3/a) x = 24

Divide by 3/a

x = 24 / (3/a)

Use KCF (keep change flip)

x = (24/1) x (a/3)

x = 24a / 3

simplify

x = 8a

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notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

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
\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
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\sqrt{5^2-4^2}=b\implies \boxed{3=b}
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7 0
4 years ago
&gt;<br> 40 cm out of 3.5m .
vovikov84 [41]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Using a calculator and the formula above, calculate the APR. Choose the correct answer.
GarryVolchara [31]
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7 0
4 years ago
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
vlada-n [284]

Answer:  D) 154 degrees clockwise about point A

========================================================

Explanation:

We have n = 7 sides here, so this is a heptagon.

Assuming this is a regular heptagon, then we can say that 360/n = 360/7 = 51.4285714285714 is the angle in which we can rotate the figure to have it map onto itself.

What does that mean? It means that if we were to apply this rotation, then the "before" and "after" (aka preimage and image) will be identical.

The angle value 51.4285714285714 rounds to 51, and unfortunately none of the answer choices come closer to this.

But we can scale things up. Instead of doing 1 rotation, we can do 3 rotations of 51.4285714285714 degrees each to get 3*51.4285714285714 = 154.285714285714

The value then rounds to 154 degrees. This can happen clockwise or counterclockwise.

3 0
3 years ago
(x+5) (x-6)<br> Please give me the answer
o-na [289]

Answer:

x2−x−30 is the solution

5 0
3 years ago
Read 2 more answers
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