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Phoenix [80]
2 years ago
8

3x - 12y = 6 x - 4y = 2 solve by elimination

Mathematics
2 answers:
Reika [66]2 years ago
6 0

3x-12y=6

  • x-4y=3--(1)
  • x-4y=2--(2)

Lets convert to slope intercept form

  • 4y=x-3
  • 4y=x-2

Slopes are equal so lines are parallel

Hence no solutions

OverLord2011 [107]2 years ago
5 0

Answer:

the problem has an infinite number of solutions

Explanation:

3x - 12y = 6

x - 4y = 2

make the coefficient of x same by multiplying the entire following by 3

⇒ ( x - 4y = 2 ) * 3

⇒ 3x - 12y = 6 __ equation 2

3x - 12y = 6 __ equation 1

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

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The four digit numeral 3AA1 is divisible by 9. What digit does A represent
dexar [7]

Answer:

A = 2, the number is 3221

Step-by-step explanation:

In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.

In our case, 4+A+A+1= 9k where k is an integer. the easiest way happens when k=1

5+2A= 9 \rightarrow 2A=4 \rightarrow A = 2

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.

4 0
2 years ago
The 3kg object in Figure is released from rest at a height of on a curved frictionless ramp.
yanalaym [24]

The object compresses the spring up to 0.8577m.

<h3>What is Potential Energy?</h3>

Potential Energy is the energy possessed by an object at rest.

The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.

The total amount of potential energy at the top of the ramp is given by

Ep=mgh

Ep=3 * 9.81 *5

Ep=147.15 Joules

This is equal to kinetic energy.

From the formula for elastic potential energy

The distance up to which the spring is compressed is determined

The force constant = 400N/m

147.15 =(1/2)k(x²)

294.3=(400)(x²)

0.73575=x²

x=0.8577 m

So, the object compresses the spring up to 0.8577m.

  • When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.

To know more about Potential Energy

brainly.com/question/24284560

#SPJ1

3 0
1 year ago
Gabriele's Pie Shop sold 80 pies last month: 7/10 were apple pies and 1/10 were peach pies. How many pies were neither apple nor
AleksAgata [21]

Answer:

16 pies were neither apple nor peach.

Step-by-step explanation:

8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.

7 0
3 years ago
Please help me. solve for X
Vinil7 [7]

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

6 0
3 years ago
Is 3^2 + 3^3 equal to 3^5?Explain.
Whitepunk [10]

Answer:

tehe

Step-by-step explanation:

tehetehetehetehe

5 0
3 years ago
Read 2 more answers
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