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PilotLPTM [1.2K]
3 years ago
12

Solve: 1/3(9k + 12) = 15

Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0

Answer:

21

Step-by-step explanation:

icang [17]3 years ago
3 0

Step-by-step explanation:

1/3(9k+12)=15

We move all terms to the left:

1/3(9k+12)-(15)=0

Domain of the equation: 3(9k+12)!=0

k∈R

We multiply all the terms by the denominator

-15*3(9k+12)+1=0

Wy multiply elements

-45k(9+1= 10

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Our work: -2x + 4 = 5 - 3x
Vikentia [17]

Answer:

x=1

Step-by-step explanation:

-2x + 4 = 5 - 3x

Add 3x to each side

-2x+3x + 4 = 5 - 3x+3x

x +4 =5

Subtract 4 from each side

x+4-4 =5-4

x =1

6 0
3 years ago
What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of
notsponge [240]

Answer:

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

Step-by-step explanation:

The question is as following:

The verticies of a triangle on the coordinate plane are

A(0, 0), B(2, 0) and C(0, 2).

What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of 1/3 ?

=============================================

Given: the vertices of a triangle ABC are A(0, 0), B(2, 0) and C(0, 2).

IF the triangle is dilated by a factor of k about the origin, then

(x,y) → (kx , ky)

that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

It is given that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

If a figure dilated by a factor of 1/3 about the origin

So, (x,y)\rightarrow (\frac{1}{3}x,\frac{1}{3}y)

<u>So, The coordinates of the triangle A'B'C' are:</u>

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

6 0
3 years ago
What is the factorization of the trinomial below 12x^2-x-35
Aleks04 [339]
12x^2-x-35
12x^2-21x+20x-35
3x(4x-7)+5(4x-7)
(4x-7)(3x+5)
Either,
x=7/4
Or,
x=-5/3
4 0
3 years ago
Read 2 more answers
12(3)+3y=60 solve for y​
frozen [14]

Answer: y = 8

Step-by-step explanation:

12(3)+3y=60

36 + 3y = 60

collect like terms

3y = 60-36

3y = 24

y = 24/3

y = 8

6 0
3 years ago
The gas tank of Mr. Sanchez’s car is completely empty. He fills it up with gasoline that costs 3$ per gallon. The total cost to
madreJ [45]

Answer:

i really dont know

Step-by-step explanation:

8 0
3 years ago
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