Describe, in general, the steps for producing a frieze pattern.

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

An infinite strip with a symmetric pattern is called a frieze pattern.

There are only seven possible frieze pattern.

1. Translation symmetry only.

2. Glide reflection plus translation symmetry.

3. Reflection over a horizontal line plus translation.

4. Reflection over a vertical line plus translation.

5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.

6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.

7. Reflection over a vertical line plus glide reflection plus translation.

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Mark estimated that the drive would take 3,000 minutes. It ended up taking 2 days. Did the drive take longer or shorter than he

Arlecino [84]

Answer:

The driver took shorter than estimated

It took shorter by 2 hours( 120

minutes)

Step-by-step explanation:

Firstly we want to know if the drive took longer or shorter

By 2 days, the number of hours will be 2 * 24 = 48 hours ( recall 24 hours = 1 day

now , since 60 minutes give one hour, then 48 hours will me 60 * 48 = 2,880 hours

This is less than 3,000 hours

By how much?

Simply subtract the value of minutes in 48 hours from 3,000 = 3000-2880 = 120 minutes ( or two hours)

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3 years ago

Which graph below solves the following system of equations correctly? y = three over four times x squared minus 3 y = negative t

Zielflug [23.3K]

Let's rewrite the system of equations:
y = three over four times x squared minus 3
y = (3/4) x ^ 2 - 3
y = negative three over four times x squared plus 3
y = (-3/4) x ^ 2 + 3
The system of equations is:
y = (3/4) x ^ 2 - 3
y = (-3/4) x ^ 2 + 3
The solutions are:
(-2, 0)
(2, 0)
Answer:
See attached image