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stepladder [879]
3 years ago
9

Describe the translation of the following function.Y = -1/3 |x + 4| - 2

Mathematics
2 answers:
katrin2010 [14]3 years ago
5 0
Y equals negative one over three. absolute value of x plus 4. minus 2
leva [86]3 years ago
4 0
Y=|x| is probably the original function
so we see
rewrite
y=-1/3(|x+4|+6)
we see that the whole function was multiplied by -1 and also by 1/3, so it is reflected across the x axis then vertically compressed by a factor of 1/3

see inside
|x+4|+6
 to move up, a units, add a to whole function
this is 6, it was moved up 6 units
to move right, c units, subtract c from every x
so it was moved to the right -4 units or 4 units to the left

so the transformation is

from y=|x| to y=-1/3|x+4|-2 is

move left 4 units
move up 6 units
compressed vertically by a factor of 1/3
reflected across x axis
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Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}

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Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.

Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
Use the figure below to Find midsegment please help
serious [3.7K]

Answer:

38 units.

Step-by-step explanation:

4x + 6 = \frac{1}{2}(4x + 44)      {midpoint theorem}

4x + 6 = \frac{1}{2}*4x +  \frac{1}{2}*44

4x + 6 = 2x + 22

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Length of midsegment = 4x + 6 = 4*8 + 6

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8 0
3 years ago
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Answer:

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the mean is 103, as a result you must find the distance.

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3 0
3 years ago
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3 years ago
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nikitadnepr [17]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

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Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

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