Зу – х = -5
-7х + 4 = –18
Solve each system of equation using elimination

Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Step-by-step explanation:

First, let's define the transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Here we have:

f(x) = 6*sin(x - pi/8) + 8

and the transformed function:

g(x) = 6*sin(x - (7/16)*pi) + 1

We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:

g(x) = f(x + B) + A

g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1

Then we must have that:

(x + B - pi/8) = x -  (7/16)*pi

B - pi/8 = -(7/16)*pi

B = -(7/16)*pi + pi/8 =  -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16

And we also must have that:

8 + A  = 1

A = 1 - 8 = -7

Then the transformation is:

g(x) = f(x - 5*pi/16) - 7

This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Answer:

m>5

Step-by-step explanation:

Let's solve your inequality step-by-step.

m+4>9

Step 1: Subtract 4 from both sides.

m+4−4>9−4

m>5

Answer:

m > 5

Step-by-step explanation:

m + 4 > 9

m + 4 - 4 > 9 - 4

m > 5

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is how you are supposed to plot the number line

Answer:

t = 60

Step-by-step explanation:

Exponents by the power of another exponent multiply.

-12 · -5 = 60

So in this instance, the value of t would be 60.

Answer:

[tex]y=3x-8[/tex]

Step-by-step explanation:

First, you have to isolate y on one side of the equation.

Step 1) Add 5 to both sides (this will cancel out the (-5) on the left)

Step 2) Subtract 3x from both sides (this will cancel out the (3x) on the left)

Step 3) Subtract y from both sides

Step 4) In order to make the desired variable positive, change the sign of everything in the equation

The step shown above will yield the answer of [tex]y=3x-8[/tex]

Answer:

8y-24 and 8(y-3)

Step-by-step explanation:

Answer:

I think if yo seperate 4 from x then seperate 3 from x add those together and you get 18.

Step-by-step explanation:

It sounds right.

Answer:

4,8 :)

Step-by-step explanation:

Answer:

(-4, 8)

Step-by-step explanation:

other answer was close but wrong

Answer:

A 7.85 cm2 should be right

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

Answer:

Yes, it is a function.

Step-by-step explanation:

As long as there are no more than one x-values for each coordinate, then it is considered a function.

Answer:

its b......................

The airplane must travel [tex]\sqrt{315}[/tex] km to be directly above the airport.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

We have to apply the Pythagoras theorem to solve the problem.

By Pythagoras theorem,

Base² + Altitude² = Hypotenuse²

Given,

Altitude = 3 km

Hypotenuse is the slant distance from the airport = 18 km

Let x be the distance plane must travel to be directly above the airport.

x² + 3² = 18²

x² = 315

x = [tex]\sqrt{315}[/tex]

Hence the distance plane must travel is [tex]\sqrt{315}[/tex] km.

To learn mote about Pythagoras Theorem, click :

https://brainly.com/question/21926466

#SPJ2

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

Answer:

One solution: (6,0)

Step-by-step explanation:

4(6)+2(0)=24

6+0=6

Answer:

2

Step-by-step explanation:

im sure its 2 i hope this helps

Answer:

25=10+w

Because the value of w that makes the equation true is

w=25_10

w=15

Answer:

Step-by-step explanation:

Answer:

small packet: 1.56/22=£0.071

medium: 2.87/38=£0.076

large: 4.67/65=£0.072

small packet is best as it has the lowest price per nail

11 dimes and 4 buckles. You're welcome :)

Answer:

5

Step-by-step explanation:

for the question, let's make a variable

Assume one number is X and we can get a equation like this:

X + 2X+7 = 22

X + 2X = 22 - 7

3X = 15

X = 5

Answer: n=8

Step-by-step explanation:

Answer: I think it might be A but then again I am only in 6th grade so, whatever!

Step-by-step explanation:

Answer:

3-1.2=1.8

Step-by-step explanation:

12/4=3-1.2=1.8

Answer:

32%

Step-by-step explanation:

Area of rectangle ABCD = 20 * 30 = 600 Sq cm

After increasing the length and width of the rectangle by 20% and 10% respectively.

New length = 30 + 20% of 30 = 30 + 6 = 36 cm

New width = 20 + 10% of 20 = 20 + 2 = 22 cm

Area of new rectangle = 36*22 = 792 Sq cm

Increase in area = 792 - 600 = 192 Sq cm

Percentage increase in area

= (192/600) *100

= 32%

Answer:

nnnnnnnfjnjzfv

Step-by-step explanation:

It is the third one because if (gof) is gjudjgui8dfghdgdihhhdghgd

Answer:

$142.50

Step-by-step explanation:

If you divide how much she made by 11 you find out she makes $9.50 and hour and then you mutiply $9.50 by the 15 hours she works.

Answer:

.4763

Step-by-step explanation:

A percent can be made into a decimal by moving the decimal two places to the left.

Answer:

8.3

Step-by-step explanation:

8.25 has to round up because of the five making it 8.3

Answer:

10

Step-by-step explanation:

Answer: it’s 2

Step-by-step explanation: so u subtract