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igor_vitrenko [27]
2 years ago
9

1. Is the following system consistent or inconsistent?

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer with Explanation:

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

If a system has no solution, it is said to be inconsistent . Represent parallel lines.

1)   8x + y + 4 = 0  

       y = -8x - 4

If we solve equation 8x + y + 4 = 0  for y, we get

y = -8x -4

So, both equations are same. That means both lines are same. So infinite many solutions.

System is consistent


2) Both line slope are same and parallel to each other.

So,  no solution

System is  inconsistent.


3) Both equation represent the same line. So, infinite many solution.

System is consistent.


4)  Both lines are intersect at a point.

Intersection point is (7,0).


5) Both lines are parallel. So, no solution.

System is inconsistent.

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2 years ago
Help!
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Answer:

2/16

1/8

Step-by-step explanation:

8/1=8

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1/8=1/8 is 2/16 simplified so they are the same

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6 0
2 years ago
X+2y=12. what does x equal​
PilotLPTM [1.2K]

Answer:

x = -2y + 12

Step-by-step explanation:

Let's solve for x.

x + 2y = 12

Step 1: Add -2y to both sides.

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x = −2y + 12

4 0
2 years ago
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Zolol [24]

Answer:

<h3>            BC = 29</h3>

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

7 0
3 years ago
identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8
VladimirAG [237]

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did <em>rise</em><em>\</em><em>run</em><em> </em>by moving one block <em>north</em><em> </em>over <em>one</em> block <em>west</em><em> </em>for the first three coordinates, but retracing back to the y-intercept, I moved one block <em>south</em><em> </em>over <em>one</em> block <em>east</em> for the last coordinate. It does not matter where you go, as long as you follow the pattern within this <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].

I am joyous to assist you anytime.

5 0
3 years ago
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