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2 years ago

Can you help please?

Mathematics

2 answers:

sesenic [268]2 years ago

8 0

-5/2 I learn this like last year but don’t quote me on it

lina2011 [118]2 years ago

5 0

-5/2

an example of how to write it is :)

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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

2 years ago

A yard of fabric costs $12.99. How much will 5 feet cost?

Aloiza [94]

Answer:

$21.65

brainliest?

Step-by-step explanation:

1 yard = 3 feet

so 5 feet would = to 1 2/3 yards = 5/3 yards

12.99*5/3

12 99/100=1299/100

1299/100 x 5/3=433/20

433/20 = 21 13/20

13/20 x 5/5= 65/100=0.65

0.65+21

$21.65

hope this helped!

have a good day!

8 0

2 years ago

Help please!! I'm very confused

lawyer [7]

Answer:

Step-by-step explanation:

it goes by two so I think it'll be six , not so sure tho :)

4 0

2 years ago

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D’E’F’G’H’I’.

S_A_V [24]

The answer is (x, y)→(x - 9, y - 3)
proof
according to the figure H (3, -1) and H' (-6, -4)
-6= 3 -9, and - 4= -1 -3,

3 0

2 years ago

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Determine the length of the model. -60 ft- 1 in. = 8 ft =

Stells [14]

Length of the model = 11.6 inch

3 0

2 years ago