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SCORPION-xisa [38]
3 years ago
5

Is the following statement correct? Explain.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:  The answer is NO.


Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

2x+5y=10,\\\\6x+15y=30.

Thus, the given statement is not correct.


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How would the following triangle be classified?
yulyashka [42]

Step-by-step explanation:

All sides are congruent, therefore is an equilateral triangle.

It's also an isosceles acute triangle because two sides are congruent and all angles are acute.

It's also an isosceles triangle because two sides are congruent.

7 0
3 years ago
Choose the number that is 5 more than a square number.<br> 21<br> 34<br> 35<br> 65<br> 76
Ipatiy [6.2K]
5 more than a square number would be 21 which is 5 more than 16 (the square of 4)
3 0
3 years ago
Read 2 more answers
For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?
9966 [12]

Answer:

300 m/min

Step-by-step explanation:

Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5 \frac{20}{60}=\frac{1}{3}

5\frac{1}{3}=\frac{16}{3}

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3:  3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

4 0
3 years ago
A figure has vertices at points (0,3),(6,3), and (3,6)what polygon is made
VladimirAG [237]

Answer:

The polygon that is made is a triangle

Step-by-step explanation:

5 0
3 years ago
If all perpendicular lines are also intersecting lines, are all interesting lines also perpendicular lines? Explain, you'r answe
DerKrebs [107]

No.

Perpendicular lines are lines that intersect at a 90° angle.

If two lines are perpendicular, they create four 90° angles.

However, for two lines to intersect, they do not necessarily have to intersect at a 90° angle.

<em>All roses are flowers, but not all flowers are roses.</em>

<em>All perpendicular lines are intersecting lines, but not all intersecting lines are perpendicular.</em>


3 0
3 years ago
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