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1 year ago

A hyperbola has vertices (±5, 0) and one focus (6, 0). what is the standard-form equation of the hyperbola?

SAT

1 answer:

Leya [2.2K]1 year ago

7 0

Answer:

x²/25 - y²/11 = 1

Explanation:

The standard form equation of the hyperbola:

x² / a² - y² / b² = 1

a = 5,

a² = 25

c = 6

c² = a² + b²

36 = 25 + b²

b² = 36 - 25

b² = 11

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<h3>Definition of molarity</h3>

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

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Molarity is expressed in units $\frac{moles}{liters}$ .

<h3>Concentration of CH₃OH</h3>

In this case, you know:

number of moles= 50 g× $\frac{1 mole}{32.04 g}$ = 1.56 moles, being 32.04 $\frac{g}{mole}$ the molar mass of CH₃OH
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Replacing in the definition of molarity:

$Molarity=\frac{1.56 moles}{0.500 L}$

Solving:

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