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3 years ago

What are four kinds of parabolas

1 answer:

3 0

Solutions

A right handed parabola: $y^2=4ax$ 

A left handed parabola: $y^2=-4ax$ 

An up facing parabola: $x^2=4ay$ 

A down facing parabola: $x^2=-4ay$

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Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

$2^x + 2^{-x} = 3$

Queremos calcular:

$4^x + 4^{-x}$

Tambien sabemos que 4 = 2*2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}$

y sabemos que 2*2 = 2^2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}$

y ahora podemos usar la relación:

$(a^n)^m = (a^m)^n = a^{m*n}$

entonces:

$(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2$

Ahora podemos completar cuadrados sumando y restando el termino:

$2*(2^x)*(2^{-x})$

Asi tendremos:

$(2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Entonces de momento tenemos que:

$4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

$a^n*a^m = a^{n + m}$

en el termino de la derecha.

Asi tendremos:

$(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7$

7 0

3 years ago

How far is a football kicked if its y=-0.03x^2+1.53x

weqwewe [10]

The answer is 51 (not sure of the measurement unit). Assuming you mean the football hits the ground when it's kicked and lands somewhere downfield, y would be 0 (y means height from the ground, and if something is on the ground, it has no height. Hence, the 0). Set the equation equal to 0 and factor to solve for x. 0 = -.03x(x-51). 0 = -.03x and x = 0, or 0 = x-51 and x = 51

4 0

3 years ago

How many oounces are in 2 cups

nirvana33 [79]

16 fluid ounces is in 2 cups because every cup, is 8 ounces

3 0

3 years ago

Read 2 more answers

What does it mean to get a 150% salary raise? Explain in words and then give an example showing a calculation. pls and thx.

Simora [160]

if im correct its 50 more of the original amount.

example: if i make 100 a day , im now making 150 a day