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faust18 [17]
3 years ago
9

Which expression will you generate if you apply the Distributive Property and combine the like terms in the expression x + 3y −

y + 3x + 2(2 + 4 + y)?
A: 5x+8y+15

B: 4x+4y+12

C: 4x+3y+24

D: x+3y+14
Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0

apply the Distributive Property and combine like terms in the expression

x + 3y − y + 3x + 2(2 + 4 + y)

= 4x + 2y+ 12 + 2y

= 4x + 4y + 12

answer

B: 4x+4y+12

NeX [460]3 years ago
5 0
<span>apply the Distributive Property and combine like terms in the expression
</span><span>
x + 3y − y + 3x + 2(2 + 4 + y)
= 4x + 2y+ 12 + 2y
= 4x + 4y + 12

answer

</span>B: 4x+4y+12
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Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.

<h3>¿Qué es un sistema de ecuaciones?</h3>

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables son:

  • Variable x: Edad de Juan.
  • Variable y: Edad de su madre.

La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:

x = \frac{y}{3} - 1

Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:

y + 5 = 2(x + 5) + 10

y + 5 = 2x + 20

Como x = \frac{y}{3} - 1:

y + 5 = \frac{2y}{3} + 18

3y + 15 = 2y + 54

y = 39

x = \frac{y}{3} - 1 = \frac{39}{3} - 1 = 13 - 1 = 12

Juan tiene 12 años e su madre tiene 39 años.

Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040

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The image below shows y = 5/3x - 9 being graphed.

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What is 1/2x1/3 in simplest form
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3 years ago
Please help (geometry)
serious [3.7K]

Answer:

The statement BI = BK is true from the given information ⇒ B

Step-by-step explanation:

If a line is a perpendicular bisector of a line segment, then

  • The line intersects the line segment in 4 right angles
  • The line intersects the line segment in the mid-point of the line segment
  • Any point on the line is equidistant from the endpoints of the line segment

Let us find the true statement

∵ Line AB is the perpendicular bisector of segment IK

→ By using the 1st note above

∴ AB ⊥ IK

∴ ∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles

→ By using the 2nd note above

∴ J is the mid-point of IK

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∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note

∴ AI = AK

∴ BI = BK

∴ The statement BI = BK is true from the given information

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