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aleksandrvk [35]
3 years ago
7

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o

f y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)
Mathematics
2 answers:
monitta2 years ago
7 0

Answer:

(1,3)

Step-by-step explanation:

AveGali [126]2 years ago
3 0

Answer:

B. (3, -1)

Step-by-step explanation: I got a 100 on the test

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

F(1, -3) → F'(3, -1)

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Suponga que desea utilizar un servicio de correo particular para enviar un paquete que tiene forma de caja rectangular con una s
statuscvo [17]

a) El volumen de la caja en función de su longitud es:

V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x

b) El dominio de la ecuación del volumen son todos los números reales.

c) Las dimensiones del paquete con el mayor volumen posible son:

longitud de la caja  x = 30 plg

lado de la sección transversal L = 17.5 plg

a)

Definamos x como la longitud de la caja y L como el lado de la sección transversal, que es cuadrada para este caso.

Sabemos que la suma de su longitud (x) y el perímetro de la sección transversal (P = 4L) es igual a 100 plg.

x+4L=100 (1)

Ahora, el volumen de esta caja rectangular está dada por:

V_{caja}=A_{base}*x

V_{caja}=L^{2}*x (2)

Pero necesitamos expresar el volumen en función de x.

Despejamos L de la ecuación (1) y remplazarlo en (2).

Por lo tanto el volumen en función de x será.

V_{caja}=(\frac{100-x}{4})^{2}*x

V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x

b)

Al ser la función un polinomio de orden 3 el dominio de esta función son todos los numeros reales.

c)

Observando la gráfica de esta función, podemos ver que para un valor aproxiamdo de x = 30 plg el valor de V tiene un punto de inflección, es por definición de maximización de una función que podemos usar ese punto para encontrar las dimensiones de la caja.

Por lo tanto si x = 30 plg el valor de L usando la ecuacion (1) sera:

L=\frac{100-x}{4}

L=\frac{100-30}{4}=17.5\: plg

Por lo tanto la máxima dimensión de la caja es:

x = 30 plg

L = 17.5 plg

Puedes aprender más sobre maximizar funciones aquí:

brainly.com/question/16339052

 

     

 

6 0
2 years ago
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 in
lukranit [14]

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

6 0
2 years ago
Lucas and his three brothers opened a bag with 48 cookies there are 16 cookies left if each boy ate the same number of cookies h
FrozenT [24]

Answer:

each boy ate 8 cookies

Step-by-step explanation:

48-16=32

32 divided by 4=8

so each of them ate 8 cookies

5 0
3 years ago
A cooler holds 20 cups of water. There are 12 3/4 cups of water in the cooler. Can the cooler hold an additional 6 5/6 cups of w
Fantom [35]
Yes. Since 12 3/4 cups can be rounded up to 13 and 6 5/6 can be rounded up to seven, and 13+7 equals 20, so you would be able to put the additional amount if cups into the cooler.
8 0
3 years ago
Read 2 more answers
What is 78.32+6.784?
IceJOKER [234]

Answer: 85.104

Step-by-step explanation: Adding decimals is something you will use a lot. Take the time to learn it now. So when you are adding decimals there are some important things to keep in mind. 1. Line the decimals up. Let me explain. Lets do a example. Lets say its 14.5+ 15.74. The first thing you would need to do is line them up like this-->

14.5

15.74

+____

After you do that, Do you see a black space next to the 14.5? When adding decimals this is a big nono. So what you can do is add a 0. Adding a zero is only applicable when you have one number that has 1 more number(its my best way to explain it).( so like you would add a zero if your equation was like 23.5 +18.99. but you wouldn't do it if it was 17.5+19.4).  Example equation should look like this:

 14.5 0<---- add the zero!

 15.74

+____

Step 2. Put the decimal down to where it lines up. Like this:

 14.5 0

 15.74

+____

     .<------ make sure it lines up!

Step 3. Add regularly. Just ignore the decimal in the equation and just add. The answer would be 30.24. If you don't know how to add, I don't think your old enough for a brainly account:)

Step 4. Remove the zero. Zero as a number means nothing. So its ok in math to add a zero at the end of a decimal. So 4.0 is the same as 4 or 4.0000000000000. So when you have another problem, and your answer is something like 95.320, you can just remove the zero. So it would be 95.32:)

Hope I Helped! (this took me a long time to type out)

:)

7 0
3 years ago
Read 2 more answers
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