<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B5x%2B2" id="TexFormula1" title="2x^{2} +5x+2" alt="2x^{2} +5x+2" align="absm

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VladimirAG [237]

3 years ago

iddle" class="latex-formula">

Mathematics

1 answer:

Allushta [10]3 years ago

5 0

Answer:

(2x+1)(x+2)

Step-by-step explanation:

Ez pz

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Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

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1 year ago

Convert percents to fractions (Write the answer in SIMPLEST FORM)

Grace [21]

1/4;2/5;83/100;3/2;7/10;4/5

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3 years ago

Write all pairs of numbers satisfying the equation <br> x2 + y2 =5 and x2 + y2= 25

lorasvet [3.4K]

Answer:

There is no solution for this set of equations.

The sum of two numbers can not have two different solutions.

6 0

3 years ago

Please help I think it's A but im unsure

Likurg_2 [28]

Answer:

b is the correct answer I am also not sure

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3 years ago

Hi, thx for helping

Sliva [168]

Answer:

C. 8.52624...

Step-by-step explanation:

The reason that C is different is because all of the other decimals are terminating decimals (meaning that they end or stop), while C is a repeating decimal, because it never ends.

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4 years ago