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creativ13 [48]
2 years ago
12

Rotation of 90 degrees CCW: (3,-2)

Mathematics
1 answer:
brilliants [131]2 years ago
6 0
To the left or the right bro?
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If m∠XWY = 20, m∠XWZ = 40, and XY = 16, what is the value of YZ? Three rays extend out from W through X, Y, and Z. Segments are
Korvikt [17]

Answer:

YZ=16

Explanation:

XWY=20 XWZ=40, XWY is half of XWZ, which means ZWY =20. Now you can say that the triangles are congruent through the AAS postulate, so you know that YZ-16 because of CPCTC

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Whats x^2-2x-2<br><br><br><br><br><br><br><br><br><br><br> akjdcpiwhbfcnkluje
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Answer:

Step-by-step explanation:

1 In general, given a{x}^{2}+bx+cax

​2

​​ +bx+c, the factored form is:

a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a

​2a

​

​−b+√

​b

​2

​​ −4ac

​

​​

​​ )(x−

​2a

​

​−b−√

​b

​2

​​ −4ac

​

​​

​​ )

2 In this case, a=1a=1, b=-2b=−2 and c=-2c=−2.

(x-\frac{2+\sqrt{{(-2)}^{2}-4\times -2}}{2})(x-\frac{2-\sqrt{{(-2)}^{2}-4\times -2}}{2})(x−

​2

​

​2+√

​(−2)

​2

​​ −4×−2

​

​​

​​ )(x−

​2

​

​2−√

​(−2)

​2

​​ −4×−2

​

​​

​​ )

3 Simplify.

(x-\frac{2+2\sqrt{3}}{2})(x-\frac{2-2\sqrt{3}}{2})(x−

​2

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​2+2√

​3

​

​​

​​ )(x−

​2

​

​2−2√

​3

​

​​

​​ )

4 Factor out the common term 22.

(x-\frac{2(1+\sqrt{3})}{2})(x-\frac{2-2\sqrt{3}}{2})(x−

​2

​

​2(1+√

​3

​

​​ )

​​ )(x−

​2

​

​2−2√

​3

​

​​

​​ )

5 Cancel 22.

(x-(1+\sqrt{3}))(x-\frac{2-2\sqrt{3}}{2})(x−(1+√

​3

​

​​ ))(x−

​2

​

​2−2√

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​

​​

​​ )

6 Simplify brackets.

(x-1-\sqrt{3})(x-\frac{2-2\sqrt{3}}{2})(x−1−√

​3

​

​​ )(x−

​2

​

​2−2√

​3

​

​​

​​ )

7 Factor out the common term 22.

(x-1-\sqrt{3})(x-\frac{2(1-\sqrt{3})}{2})(x−1−√

​3

​

​​ )(x−

​2

​

​2(1−√

​3

​

​​ )

​​ )

8 Cancel 22.

(x-1-\sqrt{3})(x-(1-\sqrt{3}))(x−1−√

​3

​

​​ )(x−(1−√

​3

​

​​ ))

9 Simplify brackets.

(x-1-\sqrt{3})(x-1+\sqrt{3})(x−1−√

​3

​

​​ )(x−1+√

​3

​

​​ )

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