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2 years ago

M'(-5-4) is the image of M after a 90°

Mathematics

1 answer:

AleksAgata [21]2 years ago

6 0

Step-by-step explanation:

Let coordinate of M(x, y)

we know,

image of M(x,y)-------M'(-y,x)

From question

(-y,x)= (-5,-4)

or, -y = -5 and x= -4

So, y=5 and x= -4

Therefore M(x,y)=M(-4,5)

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Answer:

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Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

$x+5y=-2\\x+5y=4$

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

$y=3x+4\\-2x+y=4$

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

$3x+y=4$ ----> equation A

$-6x-2y=-8$ ----> equation B

Multiply equation A by -2 both sides

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$-6x-2y=-8$ ----> equation C

Compare equation B and equation C

Are identical lines

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therefore

Is a consistent dependent system

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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