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3 years ago

1. Is a rotation of 180° the same as a reflection over the y-axis? Please justify your answer in complete sentences.

Mathematics

1 answer:

sp2606 [1]3 years ago

5 0

Answer:

Not the same.

Step-by-step explanation:

Given that there is a rotation of 180 degrees . To check whether this is a reflection over the y axis.

Reflection over the y axis make the coordinates (x,y) as (-x,y)

i.e. this means rotation of 180 degrees about the origin anticlockwise.

Hence just rotation of 180 degrees is not the same as a reflection over y axis.

The conditions are:

i) 180 degree to be rotated anticlockwise

ii) Rotation is about the origin

Hence a rotation of 180 degrees need not always be the same as reflection over y axis.

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3 years ago

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Answer B

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4 years ago

Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.(a) Is

frez [133]

Answer:

(a) yes

(b) no; see below

Step-by-step explanation:

(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.

(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)

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k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers

The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have

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3 years ago

Use the properties of logarithms to expand the following expression as much as possible. simplify any numerical expressions that

FinnZ [79.3K]

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3 years ago

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navik [9.2K]

Answer:

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Step-by-step explanation:

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