2 years ago

Rotation 90° counterclockwise about the origin

1 answer:

5 0

Draw a line from F to (0,0). If you rotate that line 90 degree counterclockwise about the origin, the coordinate of F’ will be (4,1)

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Step-by-step explanation:

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Alenkinab [10]

Answer:

${ x^2+3x-4}$

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

$\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }$

= $\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}$

= $\frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}$

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= ${ (x-1)(x+4)}$

= ${ x^2+3x-4}$

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2 years ago