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3 years ago

Identify the transformation(s) where the image has the opposite orientation as the preimage.

Mathematics

2 answers:

Anika [276]3 years ago

6 0

All parts of it are different besides enlargement<span />

-Dominant- [34]3 years ago

3 0

It is different in all off them except for enlargement, however for it to be the exact opposite it has to be reflection

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4tantheta/12-tan^2=1

egoroff_w [7]

$4tan \theta = 12 - tan^{2} \theta$
$tan^{2} \theta + 4tan \theta - 12 = 0$

Let $x = tan \theta$
$x^{2} + 4x - 12 = 0$
$(x + 6)(x - 2) = 0$
$x = -6, x = 2$

$tan \theta = -6, tan \theta = 2$

Since they both work, then we can write the solutions in general form:
$\theta = n \pi + tan^{-1}(2)$ , $n \in Z$
$\theta = n \pi - tan^{-1}(6)$ , $n \in Z$

Now, these solutions will always satisfy the equation and substituting a whole number in place of n will produce a solution that satisfies the given equation.

8 0

3 years ago

How can you tell when a quadratic equation has no real solutions? . . A. when the radicand is negative. B. when b in the quadrat

Zepler [3.9K]

The nature of the roots of a quadratic equation may be readily determined through the use of its discriminant,
D = sqrt (b² - 4ac)
We can tell if the quadratic equation does not have a real root it the radicand is negative. Therefore, the answer is letter A.

3 0

4 years ago

Estimate the number of pennies that would fit in a box one foot across by one foot wide by one foot tall. penny has a diameter o

e-lub [12.9K]

The volume of the box is given by:

$V1 = w * l * h$

Where,

w: width of the box

h: height of the box

l: length of the box

Substituting values:

$V1 = 1 * 1 * 1$

$V1 = 1 ft ^ 3$

The volume of the box in inches is:

$V1 = 1 * (12 ^ 3)$

$V1 = 1728 in ^ 3$

Then, the volume of each penny is:

$V2 = \pi * r ^ 2 * h$

Where,

r: coin radius

h: coin height

Substituting values:

$V2 = 3.14 * (0.375) ^ 2 * (0.06)$

$V2 = 0.026 in ^ 3$

Then, the number of coins that fit in the box is:

$N = \frac{V1}{V2}$

$N =\frac{1728}{0.026}$

$N = 66461$

Answer:

the number of pennies that would fit in the box is:

$N = 66461$

5 0

3 years ago

6.) On a certain night in Alaska the temperature was 4 degrees. Later that

Misha Larkins [42]

Answer:

-1 degree

Step-by-step explanation:

If it was 4 degrees, and it dropped 5 degrees, that means it is 4 - 5 = -1

I hope this helps! :)

Have a nice day!

5 0

3 years ago

Use factoring to simplify the expression x^2-x-6/x-3 assume that x does not equal 3

Gre4nikov [31]

This works out beautifully. You COULD use long division here, but since your numerator is a quadratic, your first instinct should be to try and factor it. If you factor it, it works out to be (x - 3)(x + 2). Now it just so happens that when you do that, the (x - 3) in the numerator will cancel with the (x - 3) in the denominator leaving you with one sad and lonely (x + 2) as your answer.

3 0

3 years ago