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ANEK [815]
3 years ago
10

Simplify: −√16x^2 , when x<0

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

-4|x|

Step-by-step explanation:

To simplify :

-\sqrt{16x^2} , when x

In order to simplify the given expression we will take the square root of the term inside the root.

The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.

⇒ -\sqrt{(\pm4x)^2}   [As (\pm4x)^2=16x^2]

On taking square root the square gets removed. So, we have,

⇒ -(\pm4x)

⇒ -4|x|

Since x, so the value would be negative.

So, simplified answer is

-4|x|  (Answer)

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Step-by-step explanation:

that is my answer

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3 years ago
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Answer:

Point on Midline (0,3)

Maximum (9π/2,3)

Minimum (-9π/2,-3)

Step-by-step explanation:

in the given sine function which is in the form of f(x) = a sin(bx+c) +d

a = amplitude

period = frequency = 18π

Therefore b = 2π/18π = 1/9

Y intercept = vertical shift = 3

Horizontal shift = d = 0

Therefore the sine function will be

f(x) = 6 sin(x/9) + 3

Now first point on the midline is (0,3)

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7 0
3 years ago
Subtract. Write your answer in simplest form.
hichkok12 [17]

Answer:

No. it would be 4 3/14

Step-by-step explanation:

5-1=4

common denominator is 14 to get there,

1x7=7

2x7=14

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7x2=14

7/14 - 4/14 = 3/14

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7 0
3 years ago
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The diagram represents an enlargement of a rectangle by a scale factor of 4.
Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

\text{Length of enlarged rectangle}=4\times 4\text{ inch}

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Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

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3 years ago
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