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Mazyrski [523]
3 years ago
10

Plz its due very soon i need help

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
29 cm. Is the answer
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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
What is the volume of this composite solid?
Marta_Voda [28]

Answer:

A: 64 cubic meters

Step-by-step explanation:

Multiply 7m, 2m, and 4m. You get 56

Then for the smaller cube multiply 2, 2, and 2

3 0
3 years ago
Read 2 more answers
What is the probability someone will randomly select a thin crust pepperoni pizza with tea to drink
Svetach [21]
There are 18 possibilities and only one of them is a thin crust pepperoni with tea so it is 1/18
5 0
3 years ago
Find the sin in the triangle
Ierofanga [76]

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

6 0
3 years ago
What is 340 pages; 20 percent decrease
mote1985 [20]
First you turn the % in to decimal .20
then you multiply .20 by 340=68.00
then you subtract 340.00-68.00=272.00
the final answer is 272.00 pages
:)
5 0
4 years ago
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