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3 years ago

Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):

Mathematics

2 answers:

just olya [345]3 years ago

8 0

ANSWER

Phase shift: 1 unit to the right.

EXPLANATION

The given sine function is

$y = 1 + \sin2(x - 1)$

In mathematics, the phase shift of a trigonometric function is also called the horizontal shift.

This function is shifted 1 unit to the right.

The phase shift is one unit to the right.

Rus_ich [418]3 years ago

5 0

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

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Simplify -2 1/9 - (-4 1/9)

ZanzabumX [31]

Answer:

Step-by-step explanation:

The easiest thing is to convert it to an improper fraction.

-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.

-19/9 - (-37/9) here you would add because you are subtracting a negative number.

-19/9 + 37/9 change it to positive and then add.

-19+37=18

it was 18/9. that simplified is 2.

4 0

2 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Elan Coil [88]

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi or (40*pi)/3

4 0

3 years ago

Someone pls help asap this is supposed to be done it 3 min

insens350 [35]

Step-by-step explanation:

$75 30% 0.70(75) = x $52.50

$18 65% 0.35(18) = x $6.30

$60 30% 0.70x = 42 $42

$35 20% 0.80x = 28 $28

$150 25% 0.75(150) = x $112.50

6 0

2 years ago

Read 2 more answers

Hey can someone help me and check my answers? thanks <3

Tasya [4]

Remember
x^-m=1/(x^m)
u^-3=1/(u^3)
1/(u^3)=1/125
therefor
u^3=125
u=5

x=-3
easy
y=-3-13
y=-16
correct

normally, y is output
(x,y)
chose al second numbers
0,3 are all acceptable
B and D

y=mx+b
m=-3
y=-3x+b
sub point
(x,y)
(1,-2)
-2=-3(1)+b
-2=-3+b
1=b
y=-3x+1

remember (x,y) you keep swtiching those

3 0

3 years ago