The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P

Answers

Answer 1

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)


Related Questions

Find the area of the triangle

Answers

Answer:

32

Step-by-step explanation:

because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32

15.95=3.19n
i need help with this

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Answer:

n=5

Step-by-step explanation:

EASY

In right triangle ABC, m∠ B ≠ m∠ C. Let sin B = r and cos B = s.
What is sin C – cos C?

Answers

Answer:

c

Step-by-step explanation:

Pls help What is the volume of the following pyramid?

Answers

Answer:

It is c) 18 cm^3

Step-by-step explanation:

[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]

I hope that is useful for you :)

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

A can of juice has a radius of 5 inches and a height of 8 inches. What is the volume of the can?

Answers

Answer:

use your formula and plug it in and solve it

Step-by-step explanation:

Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?

Answers

Answer: -1 1/8 (Decimal: -1.125)

can someone help me

Answers

Divide by 4 on each side of the equation. The answer is 6 :)

What is the mean absolute deviation?
92, 83, 88, 94, 91, 85, 89, 90

Answers

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation

Step-by-step explanation:

the absolute deviation is 2.75

The average rainfall of a prairie land is:

Answers

Answer:

Heres the link - https://brainly.com/question/19882225?referrer=searchResults

Step-by-step explanation:

An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5 centimeters each day. The functions f(t)=0.5+2 represents the height of the plant in centimeters after t days . Which plant for f, or g was growing faster ?

Answers

Answer:

Plant F;

Plant G;

Plant G

Step-by-step explanation:

Given that:

Plant F :

f(t)=0.5x+2

From the growth graph given for the second plant ; plant G

Point 1 (0, 5) ; point 2(16, 9)

Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25

Intercept = 5 ( point where fitted line crosses the y-axis)

Linear slope intercept relation : y = mx + c

m = slope ; c = intercept

g(x) = 0.25x + 5

The slope value of plant F = 0.5

Slope value of plant G = 0.25

F > G

Hence, F is growing at a faster rate

The starting height is given by the intercept value of the two equations ;

Plant F, intercept = 2

Plant G, intercept = 5

G > F

Hence, G was taller, to begin with

Height after 8 days :

x = 8

f(8)=0.5(8)+2

f(8) =  4 +2 = 6

g(8) = 0.25(8) + 5

g(8) =  2 + 5 = 7

Hence, G was taller after 8 days

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

O f(t) = 1.15(21,000)

O f(t) = 21,000(1.15)

O f(t)21,000(0.85)

O f(t) = 0.85(21,000)

Answers

Answer:

f(t) = 0.85(21,000)

Step-by-step explanation:

100% - 15% = 85% 0r in decimal form 0.85

0.85 x the original pricen 21,000

Answer:

the answer for this question is: f(t)=21,000(0.85)^t

Step-by-step explanation:

well since its asking what function represents the value, you have to convert the 15 percent into a decimal. so when you put the equation together you can see its 0.85.

hope it helps! :)

A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters​

Answers

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

Learn more about a linear equation here: https://brainly.com/question/18840245

#SPJ2

Could someone help? And quick cause im getting ready for bed!!

Answers

Answer:

help with what? could you add a picture?

Solve:3x+3y=27 and its algebra

Answers

Answer:  X=9-y

Step-by-step explanation:

Answer:

x = 9 - y

y = 9 - x

Step-by-step explanation:

Solving for X:

[tex]3(x + y) = 27[/tex]

[tex]x + y = \frac{27}{3} [/tex]

[tex]x + y = 9[/tex]

[tex]x = 9 - y[/tex]

Solving for Y:

[tex]3(x + y) = 27[/tex]

[tex]x + y = \frac{27}{3} [/tex]

[tex]x + y = 9[/tex]

[tex]y= 9 - x[/tex]

Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.

PLEASE SOLVE THIS ITS URGENT ​

Answers

I am pretty sure that it should be D
the answer is D. 17 miles !!!!

703.36 round nearest whole number

Answers

703 is the answer because the the numbers infront of the decimal need to be 5 or higher

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

The answer is in the image below.

I hoped these help you!

Answer:

can you give me brainliest?

Step-by-step explanation:

Please answer this as soon as possible.

Answers

Answer:1st one is acute 2nd one is also acute 3rd one is obtuse last one is right

Step-by-step explanation:

Because I learned this already

А
E E
С
D
B
If mZACD = 100°, then mZACE = [?]°

Answers

Answer:

80 degrees

Step-by-step explanation:

a line is always 180 degrees

one side of that line is 100

so, just subtract 100 from 180

you get 80

180 - 100 = 80

7. James earned $13 on Monday and doubled his pay each day thereafter for a week. How
much did he earn on Saturday?

Answers

Answer:

416$

Step-by-step explanation:

Question 11
125
C
15
Oo
$15
I’m

Answers

Answer:

Yes, the answer you chose is correct.

3(2x+4)=2(9+2x)
I need Help with this one!
And then after, how do I change it so it has no solution at all.

Answers

Answer:

x = 3

Step-by-step explanation:

3(2x+4)=2(9+2x)

6x+12=18+4x

6x-4x=18-12

2x=6

x=3

pd: i solve this as an ecuation

I hate these can I get sone help​

Answers

Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation:

Isaac walks 8 km north and then 12 km east. How far is Isaac from his starting point?

Answers

Answer:

Step-by-step explanation:

Distance from starting point = 8 + 12 = 20km

ok screw it i need to sneep i can't even do simple addition its too late

sorry

-cheesetoasty

Brainliest and 1 graph helppp :)

Answers

Answer: it’s C

Step-by-step explanation:

please help find the missing angles !!!! ​

Answers

Answer:

4

Step-by-step explanation:


Please help me with this question.

Answers

Answer:

on attempts 4, 6 and 7

Step-by-step explanation:

the 60 seconds is on the left anything below it would be your answer

PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT

Answers

The answer is a. Tell me if im wrong

what is the souloution to the equation x^2-4x+4=2x

Answers

Answer:

x=3+sqrt5, x=3-sqrt5

Step-by-step explanation:

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