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Nitella [24]
3 years ago
9

Under which condition will two lines not have a common solution

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

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Solve the system restrictions by graphing if there is no solution or an infinite number solutions so state you set notation to e
Bingel [31]

Answer:

  (x, y) = (4, 16)

Step-by-step explanation:

The first equation is a proportion, so you know right away that (0, 0) is on the graph. Pick any value you like for x, and y will be 4 times that. So, for example, the point (5, 20) will also be on the graph of y=4x.

The second equation has a y-intercept of 20 and a slope of -1. So, however many unit to the right of the y-axis you choose to go, the y-value will be down that number of units from 20. In addition to (0, 20), the point (5, 15) will be on the graph of y = -x+20.

__

Personally, I like to use a graphing calculator to show the graphical solution.

Here, the solution is (x, y) = (4, 16).

7 0
4 years ago
If a varies directly with b and a = -2 when b =3 what is the constant of variation
lina2011 [118]
A varies directly with b → a = kb where k is the constant of variation (i.e. slope)

-2 = k × 3 ← substitute values into the formula above

-2/3 = k ← result of dividing both sides by 3

Answer: k = -\frac{2}{3}
3 0
4 years ago
Tameka built 1/2 of a shed on Monday and 2/5 of the shed on Tuesday. Tameka finished building the shed of Wednesday. What fracti
Doss [256]

Step One

Find the sum of the fractions for Monday and Tuesday

1/2 + 2/5

The common denominator for these 2 days is 10

1/2: 1*5/(2*5) = 5/10

2/5:2*2/(2*5) = 4/10

Add these two equivalent fractions together.

5/10 + 4/10 = 9/10

The first 2 days resulted in 9/10 of the shed being completed.

Step Two

Find out how much (in terms of fractions) is left of the shed.

Let the whole shed = 1

Let what has been done = 9/10

What remains is 1 - 9/10 = 1/10

Answer: 1/10 of the shed needs to be done

4 0
4 years ago
The pirce of an item yesterday was$125 . Today, the price fell to 75. Find the percentage decrease.
Julli [10]

Answer:

Im sure the answer is 40%

<em>GL Deary</em>

<em>Hope I helped!!!</em>

<em><3</em>

8 0
4 years ago
A train leaves at 11:32 and arrives at 13:24. It travelled at an average speed of 85 km/h. How far did it travel? Give your answ
Mandarinka [93]
Hope that helps!!
Answer: 158.7 km

4 0
3 years ago
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