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leva [86]
3 years ago
13

The matrix equation below represents a two variable linear system. Are there solutions? Explain.

Mathematics
2 answers:
almond37 [142]3 years ago
9 0

Answer:

The coefficient matrix is singular, so there are no solutions or infinite solutions.

The two equations in the linear system are the same, so there are infinite solutions.

Yes, there are solutions

Step-by-step explanation:

Marrrta [24]3 years ago
3 0

Answer:

The coefficient matrix is singular, so there are no solutions or infinite solutions.

The two equations in the linear system are the same, so there are infinite solutions.

Yes, there are solutions

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

By the midsegment theorem,

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Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

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3 years ago
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Answer:

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Step-by-step explanation:

To find the answer you add $112.65 , $29.75 and $48.33.

The answer then becomes $190.73

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8 0
3 years ago
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The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating two pies
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Answer: 7 pies

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Two fractions equivalent to 5/4
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Answer:

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Step-by-step explanation:

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