Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3

1 answer:

8 0

I believe the answer is consistent because the 3x repeats it self on both sides of the equal sign.
But I am not sure I am a little rusty on this

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Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the

mel-nik [20]

Answer:

Segment LL' and segment OO' are congruent (same length) and parallel (same inclination).

hope this helps! :)

Explanation:

The transformation described by the rule (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.

That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.

Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.

3 0

3 years ago

A prism with a square base has a height of 15cm and a volume of 735cm3. Find the length of each edge of the base.

denis-greek [22]

Answer:

The length of each edge of the base is 7cm.

Step-by-step explanation:

The volume of a prism with square base is given by:

$V = l^{2}h$