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Julli [10]
3 years ago
7

In what direction and by how many units is the graph of f(x) = −7 sin(3x + π) − 2 vertically and horizontally shifted?

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0
I think its down 2 left pi/3, but did you get the answer?
Snowcat [4.5K]3 years ago
4 0

Answer:

Down 2, left pi over 3

Step-by-step explanation:

f(x) = −7 sin(3x + π) − 2

Given equation is in the form of

f(x) = A sin(Bx+C) + D

Horizontal shift left is C/B and right is -C/B

Vertical shift up is +D  and down is -D

From the given equation C= \pi

B= 3

So C/B is \frac{\pi }{3}

C/B is positive so graph will move left by pi/3

We know d is -2

So graph will move down by 2 units

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MariettaO [177]
The height of a rectangular pyramid is 30 cm.

volume of rectangular pyramid = (length x width x height) / 3

Given: 
Volume = 900 cm³
Length = 10 cm
Width = 9 cm
Height = ?

V = lwh/3
900 cm³ = (10cm * 9cm * h)/3
900 cm³ * 3 = (90cm² * h)/3 * 3
2700 cm³ = 90cm² * h
2700 cm³/90cm² = 90cm² * h/90 cm²
30 cm = h

to check:
900 cm³ = (10 cm * 9 cm * 30 cm)/3
900 cm³ = 2700 cm³/3
900 cm³ = 900 cm³
3 0
3 years ago
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5 0
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Mrs.Gill won certain prize money in a cooking competition.She spent half of the prize money on the clothes,one third on grocery
erma4kov [3.2K]

Answer

Find out the how much prize money did she win.

To proof

Let us assume that the total amount prize money did she win be u.

As given

Mrs.Gill won certain prize money in a cooking competition.

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6 0
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2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

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