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prisoha [69]
3 years ago
9

Systems of equations with different slopes and different y-intercepts have one solution?​

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

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One-fifth of a number plus 51 is equal to twice the number plus 42.
AlladinOne [14]

Answer:

1/5x+51=2x+42

Step-by-step explanation:

1/5 of x, the number, plus 51  is equal to 2 times the number plus 42.

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a 4.50 g coin of copper absorbed 54 calories of heat. what was the final temperature of the copper if the initial temperature wa
I am Lyosha [343]

The final temperature of copper is 155.43°C.

Step-by-step explanation:

The formula to apply is Q=m*Δt*c where ;

Q=heat energy, m=mass, c=specific heat capacity and Δt= change in temperature

Given that Q=54 calories , m=4.50 g and c=0.092 cal/g°C

In this question find Δt then ,the final temperature.

Δt=Q/m*c

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To find final temperature, apply the formula;

Δt=Final temperature - Initial temperature

130.43°C=Final temperature-25°C

130.43°C+25°C=Final temperature

155.43°C

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Specific Heat Capacity : brainly.com/question/12431744

Keyword : specific heat capacity

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Eggs are put in tray of 12, the trays are packed in boxes, each box contains 180 eggs. How many trays are in each box
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180/12=15.

That is the equation since we know the box has 180 eggs, and the eggs have to be separated into 12
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7%

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