A point is reflected in the x-axis. The reflected point is (3,−9). What is the original point? The original point is ( , ). Question 2 What is the distance between the points? The distance between the points is units.

Answers

Answer 1

Answer:

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points is 18 units.

Step-by-step explanation:

The reflection of a point with respect to the x-axis is defined by the following operation:

[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:

[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]

[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]

[tex]d = \sqrt{0^{2}+18^{2}}[/tex]

[tex]d = 18[/tex]

The distance between the points is 18 units.

Answer 2

Answer:(3,9) Distance 18 units.

Step-by-step explanation:


Related Questions

im on a test pleaseee help
find the solution to following system of linear equations using the substitution method:
[tex]y=-3x+5\\5x-4y=-3[/tex]

Answers

you write the second equation properly then equate them to each other and find the value of X

find the value of given expression

[tex] \sqrt{25 \times 625 \times \times 25} [/tex]

Answers

Answer:

±625

Step-by-step explanation:

[tex]\sqrt{25 x 625 x 25}[/tex]

[tex]\sqrt{390625}[/tex]

±625

Answer:

√(25×625×25)√{5²×25²×5²)=±(5×25×5}=±625 is your answer

please help me. find the value of x. will mark brainliest.

Answers

sin (x) = 13/18
sin (x) = 0.722
x = inverse sine of 0.722
x = 46.2 degrees

need help, I will be gaveing out points for helpers​

Answers

Answer:

The 3rd answer

Step-by-step explanation:the

180-30\2

....

=75

30+2*75=

...

180

Answer:

30 + 2x = 180

Step-by-step explanation:

This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".

Also, x = 75.

Here:

30 + 2x = 180

30 - 30 + 2x = 180 - 30

2x = 150

2x / 2 = 150 / 2

x = 75

HOPE THIS HELPED!! HAVE AN AWESOME DAY!

Please give me questions about finding the circumference of a circle

Answers

Answer:

Ok, here goes nothing

Step-by-step explanation:

1. What will be the circumference of the circle?

2. What information is needed to find the circumference of a circle?

3. How is PI used in finding the circumference of a circle?

This is all I got

Find the measure of.. (image included)
I don't get this :(

Answers

Sup, I can’t see the photo so therefore I can’t furthermore assist oh try again to do it

What is the answer????

Answers

Answer:

IDEK

Step-by-step explanation:

Answer: i dk

Step-by-step explanation:

What is the value of x

Answers

Answer:

x = 55

Step-by-step explanation:

A triangle is 180 degrees in total. All you have to do is add the sides you already have and subtract that by 180.

yes I agree the answer is indeed 55

What package is the Best Buy?

Answers

Answer: The answer is 8 lb for $18.80

That is the answer because you have to divide in order to see which is the best buy

You have to divide $4.98 by 2lb and you will get 2.49, divide $12.25 by 5lb which equals 2.45, divide $18.80 and you will get 2.35, divide $23.70 by 10lb and you will get 2.37. So therefore you answer is C.8lb for $18.80 because 2.35 is better than the other deals.

Step-by-step explanation:

Hope this helps !

I need help with math ​

Answers

1. x = 16
2. x = 46

Good luck

Step-by-step explanation:

1》 x + 74° = 90°

x = 90° - 74°

x = 16°

2》 x + 134° = 180°

x = 180° - 134°

x = 46°

#CMIIW

rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5

Answers

Answer:

  y = x + 4

Step-by-step explanation:

Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0

So Ix - 3I = x - 3,   Ix + 2I = x + 2   and x - 5 = x - 5

Therefore, y = x - 3 + x + 2 - x + 5

                  y = x + 4

Answer:

Step-by-step explanation:

It might interest you to know what this question means without the restriction. See graph 36b. This shows exactly what happens to the absolute value. There are all sorts of turns and twists in it. Notice all the changes in direction and the minimum at -2,-2. The y intercept is at 0,0.

0,0 is also one of the x intercepts as well. The other is -4,0. The whole point of showing you this is to make you aware of what the restriction does.

The graph is reduced to a line starting at (5,9)

Write the formula of the function f (x) whose graph is shown.

A. f (x) = 3/x+3 +1

B. f (x) = 3/x+1 +3

C. f (x) = 3/ x-1 + 3

D. f (x) = 3/ x-3 + 1


Please help!

RATIONAL FUNCTIONS

Answers

C hope that helps have a good one

Answer: D. f (x) = 3/x-3+1

Learn more: brainly.com/question/15155257

solve each equation for the variable 7x-2=40

Answers

Answer:

x = 6

Step-by-step explanation:

7x - 2 = 40

7x - 2 + 2 = 7x

40 + 2 = 42

7x = 42

7x / 7 = x

42 / 7 = 6

x = 6

I need help with this please

Answers

i believe it’s gus, buster, duke, charlie, max, then sam

12) Shanaya graphed the line represented by the equation y = -2x +4 a) Write an equation
for a line that is parallel to the given line. b) Write an equation for a line that is
perpendicular to the given line. c) Write an equation for a line that is neither parallel or
perpendicular.

Answers

there are websites such as

mathpapa

algebra tiger - favorite

and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered

WILL GIVE BRAINLIEST

Answers

Answer:

The correct answer is C. (2, 3)

What is the square root of 134.66

Answers

Answer:

11.6 or 12

Step-by-step explanation:

Answer:

11.6043

Step-by-step explanation:

In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y​

Answers

Answer:

9/5

Step-by-step explanation:

The common difference = 6 - 2 = 4

The age after 6 is 6 + 4 = 10 = y

The age after 14 is 14 + 4 = 18 = z

z/ y = 18/10 = 9/5

Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)​

Answers

Answer:

18u + 2 + 5/(u - 8)

Step-by-step explanation:

(18u^2 - 142u - 11) ÷ (u - 8)​

18u^2 - 142u - 11 = 18u^2 - 8*18u + 2u - 11 = 18u(u - 8) + 2u - 16 + 5 =18u(u - 8) + 2(u - 8) + 5 =(18u + 2)(u - 8) + 5

(18u^2 - 142u - 11) ÷ (u - 8)​  = 18u + 2 + 5/(u - 8)

Answer:

18u + 2 + 5/u - 8.

Step-by-step explanation:

(18u^2 - 142u - 11) ÷ (u - 8)

= 18u + 2 + 5/u - 8.

Translate the sentence into an equation.
The sum of 9 times a number and 6 is equal to 8.

Answers

Answer:

Step-by-step explanation:

gracias por los puntos

9x+6 = 8
Because 9x is nine times, then you add 6, and that’s equal to 8.

Identify the measure useful for finding the difference between the most number of votes and the least number of votes

Answers

Answer:

Range

Step-by-step explanation:

To obtain the difference between two extreme values (peak or highest and the bottom or lowest) value of a distribution, the statistical measure which best captures this differ ce is the RANGE. As the range is specifically used for determining the variation between the highest and lowest value of dataset.

The range is defined Mathematically as ;

Range = Maximum value - Minimum value

Hence. To obtain the difference between the maximum and least number of votes, the range is the best measure to use.

A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs $12.75. Brand B does 36 loads of laundry and costs $6.75. Which laundry detergent costs less per load?

Answers

Brand a costs less per load because b is more expensive per load
brand a is around 16 cents per load while brand b is around 19 cents per load so brand a cost lest

Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime drama. Both types of shows lasted 1 hour, including commercials. He recorded the number of commercials for 10 episodes of each type of show.

Answers

Answer:

[tex]m(x)_A = 5.2[/tex] --- Mean absolute deviation of educational documentary

[tex]m(x)_B = 4.7[/tex] --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

[tex]n = 10[/tex]

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

[tex]m(x) = \frac{1}{n}\sum |x - \mu|[/tex]

For Educational Documentary

First, calculate the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

So:

[tex]\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}[/tex]

[tex]\mu_A = \frac{232}{10}[/tex]

[tex]\mu_A = 23.2[/tex]

The mean absolute deviation is then calculated as:

[tex]m(x)_A = \frac{1}{n}\sum |x - \mu_A|[/tex]

[tex]m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)[/tex]

[tex]m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)[/tex]

[tex]m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)[/tex]

[tex]m(x)_A = \frac{1}{10}*52[/tex]

[tex]m(x)_A = 5.2[/tex]

For Prime time Drama

First, calculate the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

So:

[tex]\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}[/tex]

[tex]\mu_B = \frac{341}{10}[/tex]

[tex]\mu_B = 34.1[/tex]

The mean absolute deviation is then calculated as:

[tex]m(x)_B = \frac{1}{n}\sum |x - \mu_B|[/tex]

[tex]m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)[/tex]

[tex]m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)[/tex]

[tex]m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)[/tex]

[tex]m(x)_B = \frac{1}{10}*47[/tex]

[tex]m(x)_B = 4.7[/tex]

WILL GIVE BRAINLIEST!
Find x given y = 76° in the figure below.
x =
°

Answers

Answer:

104°

Step-by-step explanation:

The straight line for [tex]q[/tex] forms an angle of 180°

Therefore,

[tex]x+y=180[/tex]

[tex]x+76=180[/tex]

[tex]x=180-76[/tex]

[tex]x=104[/tex]

X+Y=180
Y=76
X=180-76
X=104 degrees

Find the value of each variable polygon
Somebody help with these please before 11:50pm

Answers

C= right d= wrong answer



If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length _____.

8

10

12

Answers

Answer:

[tex]Longer\ leg = 8[/tex]

Step-by-step explanation:

Given

30-60-90 triangle

[tex]Shorter = \frac{8}{\sqrt 3}[/tex]

Required

The longer leg

The following relationship exists in a 30-60-90 triangle.

[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]

This gives:

[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]

[tex]Longer\ leg = 1* \frac{8}{1}[/tex]

[tex]Longer\ leg = 1* 8[/tex]

[tex]Longer\ leg = 8[/tex]

Hugo plays basketball.
He made 12 out of 15 shots.
Predict how many he would make if he
attempted 45.

Answers

Answer:

170

Step-by-step explanation:

multiply 12×15=170

The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d

Answers

Answer:

The complete table is

d               t

1               3

3              9

5              15

Step-by-step explanation:

Here is the correct and complete question:

The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.

Complete the table below.

d               t

1

3

               15

Step-by-step explanation:

For the first space, we are to determine the value of t when d is 1

From the given equation, t = 3d, put d = 1 and determine t

t = 3d

∴ t = 3(1) = 3×1

t = 3

For the second space , we are to determine the value of t when d is 3

Put d = 3 in the equation to determine t

t = 3d

∴ t= 3(3) = 3×3

t = 9

For the third space, we are to determine the value of d when t is 15.

Put t = 15 in the equation and then find d

t = 3d

∴ 15 = 3d

Divide both sides by 3

15/3 = 3d/3

5 = d

∴ d = 5  

Below are the test scores that a student earned in 4 different subjects. In which subjects did this student have an average higher than 80%? Select all that apply.

Math: 82, 71, 95, 92
Reading: 74, 81, 82, 70
Science: 86, 77, 79, 90
Spanish: 68, 75, 83, 81

Answers

Answer:

Math and Science

Step-by-step explanation:

Inorder to find the average, you add up all the scores and divide it by 4.

Math average: 85%

Reading: 76.75%

Science: 83%

Spanish: 76.75%

Hoped it helped!

Please answer these three questions!!! FAST!!!!

Answers

Answer:

1- 300m

2- 0

3- 15m

Step-by-step explanation:

1- 300m

2- 0

3- 15m

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