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Complete Question:

Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.

Answer:

[tex](a)[/tex] [tex]R' = (-5,-8)[/tex]

[tex](b)[/tex] The distance is 16 units

Step-by-step explanation:

Given

[tex]R = (-5,8)[/tex]

Solving (a): Reflection across x-axis

The rule is:

[tex]R(x,y) ==> R(x,-y)[/tex]

So, the reflection of [tex]R = (-5,8)[/tex] is:

[tex]R' = (-5,-8)[/tex]

Solving (b): The distance between R and R'

Distance (d) is calculated as:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]R = (-5,8)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]R' = (-5,-8)[/tex] --- [tex](x_2,y_2)[/tex]

This gives:

[tex]d = \sqrt{(-5- -5)^2 + (-8- 8)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (-16)^2}[/tex]

[tex]d = \sqrt{256}[/tex]

[tex]d = 16[/tex]

The distance is 16 units

Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

Answer:

I got full 3 marks for this but you might have to reword depending on how your mathswatch was set

Step-by-step explanation:

12-2=10

10×180=1800

1800/12=150

=150˚

150/2=75

=75

Answer: It is 5.05 hours or 5 hours 3 minutes from the time the first flight takes off to the time Henry touches down in Boston

Step-by-step explanation:

1 hour = 60 min

Given :Time for flight from Washington D.C. to New York City =  1 h 12 min = 72 min    

Lay over in New York = 2 h 41 min = 161 min

Time for flight from New York City to Boston = 1 h 10 min = 70 min

Thus total time for Henry to touch down Boston = Time for flight from Washington D.C. to New York City  + Lay over in New York + Time for flight from New York City to Boston = 72 min + 161 min + 70 min = 303 min = 5.05 hour

5.05 hours or 5 hours 3 min from the time the first flight takes off to the time Henry touches down in Boston

Answer:

4 1/6 inches

Step-by-step explanation:

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Perimeter of Triangle = Side a + Side b + Side c

Perimeter of the Triangle =

( 1 1/6 + 1 1/3 + 1 2/3) inches

Lowest common denominator = 6

= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)

= 3 + (1 + 2 + 4/6)

= 3 + 7/6

= 3 + 1 1/6

= 4 1/6 inches

Answer:25$

Step-by-step explanation:

Answer:

Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.

Step-by-step explanation:

Hope this helps!

Answer:

la puedes a sed a engles no se mucho español.

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

----------------

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

-------------------------

44x-32y=-16

-44x+33y=22

-------------------

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Answer:  Question 1 is x=9

Question 2 is y=-3

Step-by-step explanation:

Answer:

5.75 gallon each

Step-by-step explanation:

Simple unit rate problem

So we have 23 gallons of apple juice and 4 people sharing this 23 gallons evenly. So we jsut divide. 23/4= 5.75

So 5.75 gallon each.

Answer:

5 3/4 (5.75)

Step-by-step explanation:

23 divided by four team mates equals 5.75

Responder:

(14 + 5) - (6 x 2)

Explicación paso a paso:

Para la operación dada:

14 + 5-6 x 2

Siguiendo la prioridad de operación matemática BODMAS.

Multiplicamos antes de realizar la suma:

-6 * 2 = 12

Ahora;

14 + 5 - 12

19 - 12 = 7

Por tanto, comprobamos cuál de las opciones nos da 7

(14 + 5-6) x 2

13 * 2 = 26

(14 + 5) - (6 x 2)

19 - 12 = 7

Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto

Answer:

7 3/4 = 775%

Step-by-step explanation:

pls mark meh as brainliest!

Answer: 14/37

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤

Answer:

Number that occurs the most: mode

Middle number in ordered set of data: median

average of a set of numbers: mode

More than one number: i think it is mode

Step-by-step explanation:

Answer: 9 cm

Step-by-step explanation:

The volume of a pyramid is calculated by the formula:

Volume = (Length * Width * Height ) / 3

Filling in the details from the question will give:

124.2 = (9 * 4.6 * h) / 3

Solve for h:

9 * 4.6 * h = 124.2 * 3

41.4h = 372.6

h = 372.6 / 41.4

h = 9 cm

Answer:

226

Step-by-step explanation:

6 x 6 x 6 = 216

4 - 2 = 2 x 5 = 10 so add 216 and 10 together to get an answer of 226

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

Answer:11/18, or  11 to 18.

Answer: The graph ou are looking for is added in the picture.

Graph 1 shows the correct representation the solution of the system.

The point that satisfies all of the equations in a system of linear equations is called the solution.

A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.

here, we have,

For the given question;

The system of linear equation are given as;

x + 2y ≤ 16  .......eq 1

4x + y > 6    ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the solution of the system.

To know more about the solution of system of linear equation, here

brainly.com/question/13054392

#SPJ3

complete question:

Which graph is the solution of the system

x+2y≤16

4x+y>6

1 2 3 4

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

Answer:

17

Step-by-step explanation:

h²=p²+b²

hypotenuse is x.

So, 8²+15²=289 which is 17²

so, h=17

Answer:

The answer is: B

Step-by-step explanation:

Hope this helps!