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kupik [55]
2 years ago
12

Figure ABCD is rotated clockwise about the origin through 90°. Identify the coordinates for the given figure after 90° rotation

about the origin.​

Mathematics
2 answers:
nydimaria [60]2 years ago
8 0

Answer:

D[3, 3], C[1, 4], B[0, 1], A[4, -1]

Step-by-step explanation:

Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [<em>y</em><em>,</em><em> </em><em>-</em><em>x</em>], meaning you take the <em>y</em><em> </em>and make it your <em>x</em><em>,</em><em> </em>then take your original <em>x</em><em> </em>and put its OPPOSITE.

90° counterclockwise rotation → [<em>-y, x</em>]

90° clockwise rotation → [<em>y, -x</em>]

I hope this helps, and as always, I am joyous to assist anyone at any time.

zvonat [6]2 years ago
7 0

that's a hard one there

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aksik [14]
We are given that 4f(x)+f(5-x)=x^2.

Substitute x with 5-x, then the above equation becomes:

4f(5-x)+f(5-(5-x))=(5-x)^2, that is

4f(5-x)+f(x)=(5-x)^2


So, we have the following system of equations:

i) 4f(x)+f(5-x)=x^2
ii) 4f(5-x)+f(x)=(5-x)^2

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) -16f(x)-4f(5-x)=-4x^2
ii) 4f(5-x)+f(x)=(5-x)^2

adding the 2 equations side by side we have:

-15f(x)=-4x^2+(5-x)^2

expanding the binomial, and collecting same terms we have:

-15f(x)=-4x^2+(25-10x+x^2)

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Answer: \displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}

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3 years ago
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boyakko [2]

Answer:

Step-by-step explanation:

C|___|___|___|___|___|M___|___|___|___|___|D

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2 years ago
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riadik2000 [5.3K]

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16 + 3x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

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Combine like terms: 28 + -16 = 12

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Simplifying

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2 years ago
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- - = -
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2 years ago
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The GCF of 24 and 48 is 24.

48 / 24 = 2
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3 years ago
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