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3 years ago

Name the type of transformation that maps the pre-image, ABC, to the image, A'B'C'. show your work

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Answer:

reflection across y translate 1 unit to the right translate 6 units down

Step-by-step explanation:

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Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

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3 years ago

153000 in standard form?

lara31 [8.8K]

153 000 = 100 000 + 50 000 + 3 000

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3 years ago

One eighth of Tony's books are mystery books He has 3 Mystery books how many books does Tony have in all

kolezko [41]

The answer to <span>One eighth of Tony's books are mystery books He has 3 Mystery books how many books does Tony have in all is 24

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3 years ago

Read 2 more answers

Think About the Process Which property of exponents do you use to simplify this expression? Simplify the expression. 12^8/12^4

Naya [18.7K]

Answer:

12^4 = 20736

Step-by-step explanation:

The property of exponents used to simplify : 12^8/12^4

The division property :

a^x / a^y = a^(x - y)

Therefore ;

12^8/12^4

12^8 / 12^4 = 12^(8 - 4) = 12^4 = 20,736

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3 years ago

At the end of each of the following five years, Eason is going to withdraw $30,000 from an investment account that pays interest

Sophie [7]

Answer:

3,000×0.8.×5

12000+3000 = 15000

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3 years ago

Name the type of transformation that maps the pre-image, ABC, to the image, A'B'C'. show your work​

Name the type of transformation that maps the pre-image, ABC, to the image, A'B'C'. show your work