4 years ago

Which statement about this equation is true?

Mathematics

1 answer:

WINSTONCH [101]4 years ago

8 0

The equation has one solution

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A and C

Step-by-step explanation:

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Change: f(x) = (x+2) (x-2) to standard form

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X^2 -4

Step-by-step explanation:

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3 years ago

in abbys grade, there 70 students. currently, 10% of them are enrolled in health. how many students are enrolled in health?

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Step-by-step explanation:

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3 years ago

Consider the formula d = , where

Zepler [3.9K]

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3 years ago

<img src="https://tex.z-dn.net/?f=x%5Ea%3Dy%5Eb%3Dz%5Ec%20%5C%5Cxyz%3D1%5C%5Cab%2Bbc%2Bca%3D%3F" id="TexFormula1" title="x^a=y^b

SashulF [63]

Answer:

Step-by-step explanation:

We are given:

$x^a=y^b=z^c$

xyz=1

Separating equations:

$x^a=z^c$

$y^b=z^c$

Solving the first equation for x:

$\displaystyle x=z^\frac{c}{a}$

Solving the second equation for y:

$\displaystyle y=z^\frac{c}{b}$

Substituting in

xyz=1:

$\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1$

Adding the exponents:

$\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1$

Since $1=z^0$ :

$\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0$

The base is z on both sides so we get rid of them:

$\displaystyle \frac{c}{a}+\frac{c}{b}+1=0$

Multiplying by ab:

bc+ac+ab=0

Reordering:

ab+bc+ca=0

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3 years ago