Rectangle ABCD is reflected over the y axis. what rule show input and output of the reflection, and what is the new coordinate?

answers are in pic
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First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

Answer:

I hope this helps!!!

Step-by-step explanation:

Answer:1/3 feet per hour

Step-by-step explanation:

Answer:

There is nothing here?

Step-by-step explanation:

Answer:

Subsitute the known point: (-1,3)

y>-5x^4+ 7x^3 +8.

3> -5(-1)^4 + 7(-1)^3 + 8

3> -5(1) + 7(-1) + 8

3> -5 - 7 + 8

3 > -4

True

3 Is greater than -4.

Answer:

True

Step-by-step explanation:

Just got it right on edge!

Answer:

Could you explain it another way?

Step-by-step explanation:

Answer:

1) 11

2) 15

Step-by-step explanation:

The bars on the sides of the numbers represent the absolute value/magnitude of the number, so you will need to remove the negative symbol if it is present in front of the number (if it is already a positive number, leave it as it is).

Example:

[tex]|-3+2| = |-1|[/tex]

[tex]= 1[/tex]

Hope this helps :)

Answer:

I think that it would be 9 because it is less than ten and can be divided equally by 3.

Step-by-step explanation:

Answer:

$59.94

Step-by-step explanation:

So for this question, you need to find 8% of 748.

You can do this by multiplying .08 by 748:

.08(748) = 59.94

Answer:

149.6

Step-by-step explanation:

Answer:

32x^2+68x+21

Step-by-step explanation:

Answer:

32x^2+68x+21

Step-by-step explanation:

This is right just did this!!

Answer:

$5825000

Step-by-step explanation:

You just take 23.3% of the 25 million dollars silly.

Answer:

x = 5

Step-by-step explanation:

3x² + 8 = 83

3x² = 83 - 8

3x² = 75

x² = 75/3

x² = 25

x = √25

x = 5

-TheUnknownScientist

Answer:

x =5

Step-by-step explanation:

3x²+8=83

3x²=83-8

3x²=75

x²=75

3

x²=25

x=√25

x=5

hope it help u.

Answer: I would go towards B

Step-by-step explanation:

122/8 = 15.25

This is more towards 15, so put the dot in the middle of 14 and 16

Answer:

10

Step-by-step explanation:

5 x 2 = 10

Let's put it this way. 5 two times. 5 and 5. 5 + 5

Add them. you get 10.

Answer:

10, bro if you in college like the question says i feel bad for you. other wise you in 2nd grade.

Step-by-step explanation:

just divide the price by the amount of oz. I don't have a calculator but that's what you do. Just round according to money.

Answer:

1) [tex]\huge\boxed{\sf 5.7}[/tex]

2) [tex]\huge\boxed{6.4}[/tex]

Step-by-step explanation:

74 oz = $ 4.24

74 oz = 4.25 * 100 cents

74 oz = 425 cents

Divide bot sides by 74

1 oz = 425 / 74 ¢ / oz

1 oz = 5.7 ¢ / oz

[tex]\rule[225]{225}{2}[/tex]

42 oz. = $2.69

42 oz = 2.69 * 100 cents

42 oz = 269 cents

1 oz = 269 / 42 cents

1 oz = 6.4 ¢ / oz

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)

ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³

since [tex]a\log_cb=\log_cb^a[/tex] (for any base c)

ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)

since [tex]\log_c(a)+\log_c(b)=\log_c(ab)[/tex] and [tex]\log_c(a)-\log_c(b)=\log_c\frac ab[/tex] (also for any base c)

Answer:

Unforgettable and Chanaynay by wewantwraiths

Step-by-step explanation:

If you like rock or indie, listen to Cage the Elephant (my favorite band) or Declan Mckenna (my favorite artist)

Best Cage the elephant songs:

Aint no rest for the wicked, Cigarette daydreams, Shake Me down, Trouble, Take it or leave it, Telescope, Sweetie little jean, Cry baby, Cold Cold Cold, Come a little closer, Ready to let go, Spiderhead, Aberdeen, Social cues, Tokyo smoke, house of glass, and Hypocrite

Best Declan Mckenna songs:

Brazil, Beautiful faces, The key to life on earth, Rapture, Why do you feel so down, Humongous, Make me your queen, Daniel your still a child, Listen to your friends, Bethlehem, I am everyone else, Sagittarius A*, and British Bombs

I hope you enjoy these songs :)

Answer:

Right triangle

Step-by-step explanation:

Angle ACD is a right angle. Thus, angle ACD = 90°.

Any triangle that has one of its angles measuring 90° is said to be a right triangle.

Thus, triangle ACD has one of its angles measuring 90°. Therefore, ∆ACD is a right triangle.

Answer:

117

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

2+2=4

45+68=113

113+4=117

Answer:

false right

Step-by-step explanation:

Answer:

3 n 2 | m | √ n

Step-by-step explanation:

Hope this helps

Answer:

m2/3 5/3

Step-by-step explanation:

Answer:

[tex]f(x) = \frac{x + 1}{4}[/tex]

Step-by-step explanation:

To inverse the function switch the places of x and y like this:

x = 4y - 1

Now, solve for y:

[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]

It's that easy!

I hope this helps!!

- Kay :)