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Brut [27]
3 years ago
10

Geometry math question

Mathematics
2 answers:
LekaFEV [45]3 years ago
6 0

The word "dilate" comes from the Latin <em>dilatare - </em>literally, "spread out." A <em>dilation </em>then is used to refer to some kind of growth or change in scale, so the most fitting choice here would be C. an enlargement or reduction of the figure.

statuscvo [17]3 years ago
5 0

The word "dilate" comes from the Latin dilatare - literally, "spread out." A dilation then is used to refer to some kind of growth or change in scale, so the most fitting choice here would be C. an enlargement or reduction of the figure.

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Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

                                                    OR

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6  = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4                 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 |                                    [ dividing both sides by 2 ]

- 5 =\  ( x+ 6) \ = 5\\\\                            [ \ | x | = a\  => \ -a \ =  x \ = a  \ ]

- 5 - 6 =  \ x + 6 - 6 \ = \ 5 - 6\\            [ \ subtracting \ by \ 6 \ ]

-11 = \ x \ =  - 1

3 0
3 years ago
Explain how to calculate the radius of a<br> circle if you know its diameter.
Marianna [84]

Answer:

r=d÷2 is the right answer

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