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castortr0y [4]
3 years ago
15

100 Points! What are the classifications of each system?

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

x+5y=-2\\x+5y=4

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

y=3x+4\\-2x+y=4

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

3x+y=4 ----> equation A

-6x-2y=-8 ----> equation B

Multiply equation A by -2 both sides

-2(3x+y)=-2(4)

-6x-2y=-8 ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

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marin [14]

Answer:

MNK = TRP

MN is congruent to TR.

X = 6.3

Step-by-step explanation:

MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.

7 0
3 years ago
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Conni
Levart [38]

Answer:

43

Step-by-step explanation:

172/4= 43

4 0
3 years ago
R * p = -37.8 <br>but also<br>r + p = 13.5<br><br>what would r be?<br>what would p be?
Nana76 [90]

R * p = -37.8


Solve for either R or p.


R = -37.8/p


Now plug into R + p = 13.5


-37.8/p + p = 13.5


Solve for p.


After finding p, plug your p-value into either R + p or R*p to find R.


Take it from here.




5 0
3 years ago
Read 2 more answers
Each pitcher of power smoothie that Ginger makes jas 2 scoops of pineapple, 3 scoops of strawberries, 1 scoop of spinach, and 1
Virty [35]

Answer:

56 scoops

Step-by-step explanation:

.

8 0
3 years ago
What is the common number of 5,4,100,1
cestrela7 [59]

Answer:

1

Step-by-step explanation:

These number can be de composed in primer factors as it is shown:

100=5*5*2*2*1

5=5*1

4=2*2*1

1=1

Where we can see that the only common number is 1

6 0
3 years ago
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