Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16) A. y = x + 14
B. y = x – 6
C. y = x + 6
D. y = x

Answers

Answer 1
Answer: y = x + 8...slope here is 1. A parallel line will have the same slope.

y = mx + b
slope(m) = 1
(2,16)...x = 2 and y = 16
now we sub and find b, the y int
16 = 1(2) + b
16 = 2 + b
16 - 2 = b
14 = b

so ur parallel equation is : y = x + 14

Answer 2
Answer: The answer is A. y = x + 14

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Find the value of 5p + 2q when p= 4 and q= -7
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PLS PLS HELP MEEEEEE!!

Answers

Answer:

First you can substitute y with the value of it. So -3x=(4x+17)+4. Once you've found x plug in that value in -3x and solve for y.

plug the first equation into the second
-3x = 4x+17 + 4
-7x = 21
x = -3

plug this value into the he first equation
4(-3) + 17 = y
5 = y

5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer:

La fracción de bombones que se comieron entre los dos es (7)/(10)

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

(1)/(5) +(1)/(2)

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

  • 10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.
  • 10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)

Ahora  simplemente sumas los denominadores:

(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)=(7)/(10)

La fracción de bombones que se comieron entre los dos es (7)/(10)

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

1-(7)/(10)

Restando de manera similar al procedimiento usado para la suma se obtiene:

1-(7)/(10)=(3)/(10)

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

cantidad total de bombones=(1*12)/((3)/(10) )

cantidad total de bombones=40

La caja tenía 40 bombones.

Simplify the expression (2x + 3y) + yusing the properties of operations. Show
your work.

Answers

(2x + 3y) + y

2x + 4y

The x and y cannot be combined but the y can be added to the 3y. If you ever have a letter that had no number in from of it it just means it’s 1. No need to put it like 1y because some teachers count it wrong. So just keep it as the single letter. Hope this helps good luck!

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.A. 4/10
B. 2/5
C. 42/48
D. 245/1152

Answers

the answer is B.2/5
flip 35/48 so it looks like this 48/35 then chance the divide symbol and put the multiply symbol 7*48=336, and 24*35=840. your answer is 336/840 then simply reduce to get 2/5. 
  7          35
------  ÷  --------  =  ?
 24         48

 48
------
 35 

  7         48        
------- × -------- 
  24       35 

7 × 48 = 336

24 × 35 = 840

 336        2
-------- =  -------
 840        5

SO, Your answer would be B. 2/5.

  7        35        2
------  ÷ ------- = -------  
(Simplest Form) 
 24        48       5

Hope I helped:P

Charlie solved an equation, as shown below:Step 1: 5x = 30

Step 2: x = 30 - 5

Step 3: x = 25

Part B: How many solutions will this equation have?

Answers

well the equation should lead up to about four solutions byut my calculation might be wrong

There exists a similarity transformation that maps ABC to A'B'C. The measure ofthe measure of

Answers

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'