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Ludmilka [50]
3 years ago
15

When you solve a linear equation how do you recognize if the equation has 1 solution no

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer:

If you solve a linear equation you have two different lines.

Now with that being said the solutions are as follows;

<u>One Solution</u>: The slopes are different

<u>No solution</u>: The slopes are the same and the y intercepts are different

<u>Infinite Solutions</u>: The slopes are the same and the y intercepts are different

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What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
3 years ago
Two train leave stations 210 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour w
Brrunno [24]

SOLUTION

At the same time t,

Train 1 would have covered a distance of 80t, since distance = average speed x time.

Train 2 would have covered a distance of 70t.

Now both added should give 210 miles

That is 80t + 70t = 210

150t = 210

t = 210/150

t = 1.4 hours

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MrMuchimi

Answer:

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Ajar contains 17 blue cubes, 4 blue spheres, 5 green cubes, and 16 green spheres. What is the probability of randomly selecting
Kitty [74]

Answer:

The answer would be 3/16

Step-by-step explanation:

Total no.of beads = 16  

No.of blue beads = 3  

Probability of picking a blue bead = 3/16

8 0
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10 Topic Asessment Form A
Vedmedyk [2.9K]

Answer:

the answer would be 5

Step-by-step explanation:

:3

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