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AleksandrR [38]
3 years ago
14

Dilation: expansion or contraction of an image by a scale factor Translation: sliding of a rigid object from one location on a p

lane to another location on the plane Rotation: movement of a plane about a fixed point so that every ray on the original figure has the same angle as every corresponding ray on the image Reflection: an isometry that flips a plane about a fixed line The image of ABC is A'B'C. What transformations would result in this image? ABC is reflected over the line x = 1, then is rotated -90° around the origin. ABC is reflected over the line y = x - 1, then T: (x, y) → (x - 1, y - 1). ABC is rotated 90° around the origin, then is reflected over the y-axis. ABC is rotated -90° around the origin, then is reflected over the line y = -1.
Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

ab=ab=ab 3679y

Step-by-step explanation:

after all y quo hsubeu

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
Why were there problems between the Spanish and apache.
Inessa05 [86]
I'm pretty sure you're right. I got B to be the answer alsooo. Good job.


Have a good day! :D
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the difference of two numbers is negative ten. seven times the first plus seven times the second is negative fourteen.
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X-y=-10
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x=-10-0
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I’m not 100% sure if this is right, so I hope someone checks this over :)
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Nud,es for yall some yall desperate so here
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Answer:

Step-by-step explanation:

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