When a point is reflected across a line of reflection, it remains the same distance from the line.True or False

Answers

Answer 1

Answer:

True

Step-by-step explanation:

To answer this question, I will use the following illustrations.

Assume a point (x,y) is reflected across the x-axis.

Using reflection rule, the new point will be: (x,-y)

On a coordinate plane, the x-axis is represented as: (x,0)

So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.

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

Distance between (x,y) and (x,0)

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

[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]

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

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

Distance between (x,-y) and (x,0)

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

[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]

[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

See that the calculated distance are equal.

Hence, the given statement is true


Related Questions

Help I have a math assignment due by 11:59 pm and I’m stuck!

Answers

Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.​

Answers

Answer:

Each person should share 1 and 1/2

Tell weather each pair is parallel, perpendicular, or neither: 8x – 2y = 3
x + 4y = -1

Answers

Neither. 8x-2y=3 is y=4x-3/2 and x+4y=-1 is y=1/4x-1/4. To be perpendicular the slopes need to be opposite and reciprocal. the slopes in this question are only reciprocals.

What is 7+y(3+y) when y=5

Answers

Answer:

47

Step-by-step explanation:

Sub in 5 for y:

7+5(3+5)

7+5(8)

7+40

47

Answer:

96

Step-by-step explanation:

3 + 5 = 8

7 + 5 = 12

So, 12(8) is the same as 12 x 8.

12 x 8 = 96

Which set of ordered pairs (x, y) could represent a linear function?
A = {(3,5), (5,1), (7, -2), (9,-6)}
B = {(2,-5), (5,1), (6,3), (7,6)}
C = {(-4,3), (-2,0), (0, -4), (2, –7)}
D = {(-3,7), (-1,5), (1,3), (3, 1)}

Answers

Answer = C

because all are not in set pairs only no. C is pair of set

Which is Better Lion ling action movie or The Cartoon Version? Explain your answer gets 25 Points!​

Answers

Answer:

Cartoon

Step-by-step explanation:

Answer:

The cartoon lion king is way better. I say this because the action one is kinda creepy. I feel like Disney tried too hard to make it great, that it ended up not as good as it could be.

Step-by-step explanation:

Hope this is good enough!

Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510

Answers

Answer:

$30

Step-by-step explanation:

since they exchanged them we can assume they are worth the same

250=4250

First find how many pesos is worth 1 dollar

4250/250= 17

Then divide the amount the sweater costs by how much 1 dollar would be

510/17= 30

The sweater would cost 30 dollars.

hi please help i’ll give brainly but please show your work.

Answers

Answer:0.028

Step-by-step explanation: 0.07 x 0.4= 0.028

0.028 is the answer! Hope this helps you!

PLEASE HELP ME WITH THIS

Answers

Answer:

help with what?

Step-by-step explanation:

Solve the following proportions 6.5/40.3=m/12.4

Answers

Answer:

m = 2

Step-by-step explanation:

cross multiply to get:

40.3m = 6.5(12.4)

40.3m = 80.6

m = 80.6/40.3

m = 2

Order these lines from the steepest to the least steep.

Answers

Answer:

B, A, D, C

Step-by-step explanation:

The slopes are:

2, -4, -1/2, 3/4

Ordering from the greatest to the least by absolute value:

-4, 2, 3/4, -1/2

Correct choice is:

B, A, D, C

Answer:

slopes are 2,-4,-1/2,3/4

Step-by-step explanation:

In order would be B=-4,A=2,C=3/4,D=-1/2

Hope this helps

PLEASE HELP!!!!!!!! Identify the angle of elevation.

Answers

Answer:

8

Step-by-step explanation:

Hope it helps you in your learning process.

what is the factor expression of 12p+30

Answers

Answer:

6(2p + 5)

Step-by-step explanation:

The largest common factor of 12 and 30 is 6.  Thus,

12p+30 = 6(2p + 5)

Answer:

12x +30=6(2x+5)

Step-by-step explanation:

Find the Greatest Common Factor (GCF)

GCF = 6

Factor out the GCF (Write the GCF first and then in parenthesis, divide each term by the GCF)

6(12p/6 + 30/6)

Simplify each term that is within the parenthesis

6(2p + 5)

(hope this helps can i plz have brainlist :D hehe)

A fish tank has 45 gallons of water in it. If it is 90% full, what is the full capacity of the fish tank? The fish tank can hold gallons of water when full to capacity.​

Answers

the answer is 50 gallons because 45 gallons is 90% of 50 gallons

Answer:

My answer is 55 or 60  which would be 100%

Step-by-step explanation:

A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
A.$111.20
B.$118.71
C.$29.68

Answers

Answer:

About $118.70

Step-by-step explanation:

139 x .2 = 27.8

139 - 27.8 = 111.2

111.2 x .0675 = 7.5

111.2 + 7.5 = 118.7

118.7 = $118.70

Please help me I'll give you the crown if its right

In the figure below, mROP = 125°.
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.

Answers

Step-by-step explanation:

first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:

180⁰-125⁰=55⁰

since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55°. (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 180 - 125 = 55° (supplementary angles).

The sum of my number and two and two thirds is seven. What is my number?

7 is in one box. Below it are 2 boxes. N is in one. 2 and 2-thirds is in the other.

Check all that apply.
The variable, n, represents the unknown number.
The unknown number and 2Two-thirds equals 7
4One-third+2Two-thirds= 7
9Two-thirds- 2Two-thirds= 7
n = 4One-third

Answers

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

abce

Step-by-step explanation:

Which statement(s) about the line
below are true? Select all that apply.

A The x-intercept is -8.
B The line has a positive slope.
C The y-intercept is 4.
D The line has a negative slope.

Answers

Answer: A, B, and C.

Step-by-step explanation: The answers you have selected in the picture are correct.

These are the actual claims made regarding the line:

The x-intercept is at - 8 because y = 0 when x = -8.

The line is growing and has a positive slope.

As soon as x = 0 and y = 4, the y-intercept is at 4.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The true statements about the line are,

The x-intercept is at - 8, as when x = - 8 y = 0.

The line has a positive slope as it is increasing.

The y-intercept is at 4 as when x = 0 y = 4.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

pls help !!!!!!!!!!!!!!

Answers

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

please help me if you can

Answers

X= 35

How to:
Cross Multiply

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second

Answers

Neither Logan or Scott ran farther than the other they were in the same miles at the same time.

Write an equation of the line that passes through (4,2) and is perpendicular to the line y=−13x+1.

Equation: y=

Answers

Answer:

y=x-2

Step-by-step explanation:

This slope goes through the point and is perpendicular to y=-13x+1

Hope this helped

Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

help please!! :( this is very confusing

Answers

Answer:

48

Step-by-step explanation:

E is the midpoint so ED=2BD

Answer:

ED=48

Step-by-step explanation:

ED=1/2 BD

ED=48

HELP!! im using the last of my points for this, im really bad at math and im stressed trying to do this.

Answers

Answer:

D. 19.6in

Step-by-step explanation:

ΔAFC is similar o ΔA'FC'. Therefore, their sides are in ration to one another:

FA/F'A'=AC/A'C'

9/(9+12)=8.4/A'C'

9/21=8.4/A'C'

3/7=8.4/A'C'

A'C'=8.4/(3/7)=19.6

Answer:

D. 19.6in have a good rest of yo life :)

PLEASE HELP!!

Find the 14th term of the sequence: 2,4,8,16...

Answers

Answer:

16384

Step-by-step explanation:

You have to find 2 to the 14th power (that's the rule)

Hope that helps!

7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.

Answers

Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

a = -6

7 + -6/3 = 5
7 + (-2) = 5

Hope this helps!!!!!

Compute the scale factor, as a percent, for each given relationship. Drawing 1 to Drawing 2.


A) 210%
B) 47.61%
C) 2.1
D) 0.47169

Need help and fassttttttt!!!!!plzzz

Answers

Answer:

D)0.47160

Step-by-step explanation:

I think correct me of I'm wrong

1/4t-6=-4
What does t equal?

Answers

Answer:

t = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

1/4t - 6 = -4

Step 2: Solve for t

[Addition Property of Equality] Add 6 on both sides:                                   1/4t = 2[Division Property of Equality] Divide 1/4 on both sides:                              t = 8

Answer:

t=8

Step-by-step explanation:

1/4 = 0.25

0.25t - 6 = -4

0.25t = -4 + 6

0.25t = 2

t = 2/0.25

t = 8

Other Questions
Match each example of figurative language with its interpretation. (10 points)Column A1."He watches from his mountain walls, And like a thunderbolt he falls.":"He watches from his mountain walls, And like a thunderbolt he falls."2."As long as I live, I'll hear waterfalls and birds and winds sing. I'll interpret the rocks, learn the language of flood, storm, and the avalanche.":"As long as I live, I'll hear waterfalls and birds and winds sing. I'll interpret the rocks, learn the language of flood, storm, and the avalanche."3."I'm only a child yet I know we are all part of a family, five billion strong, in fact, 30 million species strong and we all share the same air, water and soil.":"I'm only a child yet I know we are all part of a family, five billion strong, in fact, 30 million species strong and we all share the same air, water and soil."4."I have seen flocks streaming south in the fall so large that they were flowing over from horizon to horizon in an almost continuous stream all day long.":"I have seen flocks streaming south in the fall so large that they were flowing over from horizon to horizon in an almost continuous stream all day long."5."O if we but knew what we do When we delve or hewHack and rack the growing green!":"O if we but knew what we do When we delve or hewHack and rack the growing green!"Column Ba.These lines contain a hyperbole that creates a vivid image.b.The passage of prose contains a metaphor that shows how we are all connected.c.These lines contain alliteration, which creates rhythm.d.These lines give human abilities such as singing and language to nature.e.These lines use a simile to show the power of nature. Can someone solve this please? En qu se parecen ngel y los libros? novela el color de mis palabras Which statement is true of a glass lens that diverges light in air?A.It is thick near the center and thin at the edges.B.It is thin near the center and thick at the edges.C.It is uniformly thick.D. It is uniformly thin. 8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take forhim to finish reading the 15 pages? como puedes contribuir a disminuir el gasto de la energa Examine this expanded form.1(a)(a)(a)(a)(a)(a)Which is the expression in exponential form?6-a6aa-66a-1 2 differences betweenmonocotyledondus and dicotyledonas plants What is the colossal significance of the enchanted green light? In other words, what did it symbolize? Also, while youre at it, why is the light green? Think about ideas/images associated with the color green. Why is it important that the green light is not visible in this scene? What does the simile of the stars/moon reveal about Gatsbys dream/the green light? (Hint: Are stars actually close to the moon?) Exponent shown below ssignment Vhat challenges would have existed in the spread of Christianity. pe overcome. Remember social media and cell phones did not exis R < previous 4r - 9 = 7r can you help solve A product that requires a person to pay in order to consume it is a __________.A.public goodB.private goodC.federal commodityD.government resourcePlease select the best answer from the choices providedABCDEdg. Econ.please papi Puma concolor coryi Florida panther Class? The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 booksand the newly designed area has 307 books. Find the number of books in the second storage unit of the library.Use the variable b for the number of books. On the next test, one of the students score 100 but the remaining 4 students score 50 again. What is the average score on this second test? The lines 2x - y = 8 and 4x - 2y = 16 intersect at _______. It takes Alia 7 minutes to run one mile m .Which equation can be used to show the relationship between Alias number of miles, ,and the total time of her run t 7t = m7m = t7+m = tm-7 = t Plzzz help me with thisIll give brainliest Which of the following is not a characteristic of both experiments andsurveys?A. The researcher exercises direct control over at least one variable.B. Subjects should be randomly selected.C. Data are collected about a population.D. The data collected might be studied for patterns.