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TEA [102]
3 years ago
13

I need the answer to this question

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

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A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindric
anastassius [24]
To answer this you will find the volume of the rectangular prism shaped bale of hay and the cylindrical shaped bale of hay. Please see attached picture for the work. When you have these answers divided the volume of the cylindrical shaped bale by the rectangular prism shaped bale to determine how many.

7 0
4 years ago
I'm in dire need of help with this question.
jarptica [38.1K]
Hey!!

here comes the answer >>>

Corresponding angles are the ones , which sum up to 180° the given question is angle C and angle F , H and A , D and E , B and G

C and F
H and A
D and E
B and G

Vertical angles = called as the vertical opposite angles , both these angles are the same!.

So the angles are ,

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hope my answer helps!
7 0
3 years ago
Read 2 more answers
Mark for Review
ioda

Answer:

12 seconds

Step-by-step explanation:

Given

y = -2.5x + 30

Required

Determine the time taken to reach the ground

For the paper to reach the ground, y = 0

So, we have:

y = -2.5x + 30

0 = -2.5x + 30

Collect Like Terms

2.5x +0 = 30

2.5x = 30

Divide through by 2.5

2.5x/2.5 = 30/2.5

x = 30/2.5

x = 12

<em>Hence:</em>

<em>Time taken is 12 seconds</em>

5 0
4 years ago
To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e
Paha777 [63]

Answer:

Step-by-step explanation:

A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that

Hypotenuse² = opposite side² + adjacent side²

If hypotenuse = 13,

Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio

Sin θ = opposite side/adjacent side

Sin θ = 12/13 = 0.923

θ = Sin^-1(0.923) = 67.4°

The other acute angle is

90 - 67.4 = 22.6°

For 9-12-15 triangle

Sin θ = 12/15 = 0.8

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

For 13- 14-15 triangle,

Sin θ = 14/15 = 0.933

θ = Sin^-1(0.933) = 68.9°

The other acute angle is

90 - 68.9 = 21.1°

Another example would be 3-4-5

Sin θ = 4/5 = 0.933

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

3 0
3 years ago
Question is in picture, please please help
Bad White [126]

Answer:

  b.  42.875 units³

Step-by-step explanation:

The volume of a cuboid is the product of its edge dimensions (length×width×height):

  (3.5 units)(3.5 units)(3.5 units) = 3.5³ units³ = 42.875 units³

5 0
4 years ago
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