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3 years ago

Gerald walks 1 km in 15 min. Express as a unit rate and explain step by step please

1 answer:

5 0

The rate is 1km/15min

It's a fraction where the denominator is 15 minutes.
To make it a unit rate, we need to make the denominator 1.

A unit rate would be 4 km / hour.

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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

Someone help me pls pls

victus00 [196]

The correct answer is A

7 0

3 years ago

The radio of 2,787 to 1,750 is ____

pishuonlain [190]

Answer:

1.59

Step-by-step explanation:

Divide 2,787 by 1,750

3 0

4 years ago

Triangle QRS is dilated according to the rule DO,2 (x,y).

pogonyaev

I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment.

Based on the attachment, the correct statements are:

1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
Q'(-6,6) S'(-2,2)
m = y1 - y2 / x1 - x2
m = 6 - 2 / -6 - (-2)
m = 4 / -4
m = -1
5) The distance from Q' to the origin is twice the distance from Q to the origin.

8 0

3 years ago

Read 2 more answers

What is the equation for the line? Enter your answer in the box.

Tema [17]

i think it is 2 and half

7 0

3 years ago

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