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Helen [10]
3 years ago
14

A line is parallel to y = 2x - 8 and

Mathematics
2 answers:
Bad White [126]3 years ago
7 0
Parallel line means having the SAME slope

so the slope of a line parallel to the given line is 2

plug in the given point and slope of 2 into point slope form
y+1 = 2 (x+4)

solve for slope intercept form
y+1 = 2x + 8
y = 2x + 7

answer: y=2x+7
Anton [14]3 years ago
7 0

Answer:

y = 2x + 7

Step-by-step explanation:

This should be your answer.

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A matea le encanta dibujar barquitos.Si traslado su barquito inicial 1 des veces,(2 y 3) ¿Cómo desplazo cada uno de sus puntos?
nydimaria [60]

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

6 0
3 years ago
A) 1 2 /5 x 2 1 /7 ÷ 1 4 /5 =
Pavel [41]

Answer:

a) (Assuming it's \frac{1\frac{2}{5} \times 2\frac{1}{7} }{1\frac{4}{5}}) he result is 1.

b) Smallest amount is $60,000. Total amount is $300,000.

Step-by-step explanation:

a) Let's do!

\frac{1\frac{2}{5} \times 2\frac{1}{7} }{1\frac{4}{5}}=\frac{\frac{7}{5} \times \frac{9}{7} }{\frac{9}{5}}=1\\

b) Let's have the proportion 2:3:5, then the paid amounts were

2x, 3x and 5x (total amount 10x)

The largest amount: 5x = $150,000

Then x = $30,000

i) The smallest amount is 2x = $60,000

ii) The total amount is 10x = $300,000

7 0
3 years ago
The sum of two numbers is 15. one number is 7 less then the other. what are the two numbers
Serjik [45]

Answer:

One number is 4, the other is 11

Step-by-step explanation:

"The sum of two numbers is 15" can be written as

 x + y = 15       where x is one number, and y is the other.  Their sum is 15

"one number is 7 less then the other' can be written as

x = y - 7            x is one number that is 7 less than the other

Now we know x = y - 7.  We can plug that into the first equation x + y = 15 and solve...

The first equation is now...

y - 7 + y = 15                      ('x' is substituted for y - 7)

Now solve...

 2y - 7 = 15                    (combine like terms)

       2y = 22            (add 7 to both sides to isolate the term with the variable)

          y = 11                  (divide both sides by 2 to isolate the variable)

If y = 11, then

x + 11 = 15                      (the 'y' in the first equation becomes 11)

Then x = 4                (subtract 11 from both sides to isolate x)

7 0
4 years ago
Read 2 more answers
Find the equation of a line that is parallel to the line -3x+2y=10 and goes through the point (0,7).
Delvig [45]

Answer:

  3x -2y = -14

Step-by-step explanation:

The parallel line will have a new constant that can be found by substituting the given point for x and y.

  -3x +2y = -3(0) +2(7) = 14

An equation for the parallel line is ...

  -3x +2y = 14

__

In standard form, the leading coefficient is positive, so the standard form equation is ...

  3x -2y = -14

6 0
3 years ago
Ahmed runs a baked potato stall at the market. He makes a profit of 40c on each potato he sells but he has to pay $50 each day f
Butoxors [25]
Amount of money make(profit) = $(0.40x-50)
3 0
3 years ago
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