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yKpoI14uk [10]
3 years ago
13

Which are true if figure DEFG is reflected across the x-axis? Check all that apply.

Mathematics
2 answers:
meriva3 years ago
7 0

Answer: The correct options are 1,2 and 3.

Explanation:

If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.

According to the reflection rule across the x-axis,

(x,y)\rightarrow(x,-y)

From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).

After reflection,

D(0,4)\rightarrow D'(0,-4)

E(-2,0)\rightarrow E'(-2,0)

Therefore the option 1 and 2 are correct.

From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.

Therefore, the option 3 is correct.

From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.

Therefore, the option 4 is incorrect.

From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.

EleoNora [17]3 years ago
5 0

<u>1st</u>, <u>2nd</u>, and <u>3rd</u> are correct:)

Have an awesome day!

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I will give brainliest to correct answer
FromTheMoon [43]

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x^{1} and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

−2 = p(3) = (3+k)q(3) + r

Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

A. −2=p(3)=(3+(−5))q(3)+0

−2=(3−5)q(3)

−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

−2=(−1)q(3)

This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

−2=(5)q(3)

This could be true, but only if q(3) = −2/5

D. −2=p(3)=(3+(−3))q(3)+(−2)

−2=(3−3)q(3)+(−2)

−2=(0)q(3)+(−2)

This will always be true no matter what q(3) is.

Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

The final answer is D.

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