1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snowcat [4.5K]
3 years ago
11

Reflection Over Parallel Lines Please complete the attached reflection. Thanks!

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer: A(3, -5)

B(6, -2)

C(9, -2)

Step-by-step explanation:

If we have a point (x, y), and we do a reflection over the axis y = a, then the only thing that will change in our point is the value of x.

Now, the distance between x and a must remain constant before and after the reflection.

so if x - a = d

then the new position of the point will be:

(a - d, y) = (2a - x, y).

I will use that relationship for the 3 points

A)

We start with the point (1, -5)

The reflection over y = -1 leaves.

The distance between 1 and -1 is = 1 - (-1) = 2.

Then the new point is (-1 - 2, -5) = (-3, -5)

Now we do a reflection over y = 1, so D = -3 - 1 = -2

Then the new point is:

A = (1 -(-2), -5) = (3, -5)

B) (2, -2)

Reflection over y = -1.

distance, d = 2 - (-1) = 3

the point is (-1 - 3, -2) = (-4, -2)

Now, a reflection over y = 1.

The distance is D = -4 - 1 = -5

The new point is (1 - (-5), 2) = (6, -2)

C) (5, -2)

reflection over y = -1

Distance: D = 5 - ( - 1) = 6

New point: (-1 - 6, -2) = (-7, -2)

Reflection over y = 1.

Distance D = -7 - 1 = -8

New point ( 1 - (-8), -2) = (9, -2)

You might be interested in
Find the height of an isosceles triangle with two congruent sides of length
kherson [118]

Answer:

119cm

Step-by-step explanation:

add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.

7 0
3 years ago
What is the inverse of f(x)=3x+6 ?
scZoUnD [109]

Answer:

\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }

Step-by-step explanation:

hello,

we can write

fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\ f^{-1}(x)=\dfrac{x-6}{3}

hope this helps

3 0
3 years ago
What is the number writren in standard form six million, seven hundred ,twenty
enot [183]
6,720,000. I hope that helps!
4 0
3 years ago
Read 2 more answers
-4 (-3x-2)+4=60 can you help me plz ​
Ede4ka [16]
X = 4.

You have to distribute by multiplying -4 by the numbers between -3x and -2.

12x + 8 =60

Subtract the 8 from 60 to simplify the equation.

12x = 48

Divide 12 by 48 and get 4.

x=4
8 0
3 years ago
A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3
Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

7 0
3 years ago
Other questions:
  • Lets find 1/3 - 1/12<br><br> 1/3 - 1/12 = ___/12 - 1/12 =___/___<br><br> Fill in the blanks
    12·1 answer
  • Help if you can with all answers or at least some
    11·2 answers
  • Geometry !!! <br><br> A. 56 degrees<br> B. 57 degrees <br> C. 58 degrees<br> D. 59 degrees
    11·1 answer
  • Rotate 90 clockwise around the origin (-6,-2) (-3,1) (-1,1) (2,-4)
    15·1 answer
  • Which has gradient -1/2 and cuts the y-axis at 4​
    11·1 answer
  • What is 736÷4? Please help
    11·2 answers
  • Find the value of n so that the line perpendicular to y= -1/4 x -6 passes through the points (n, -12) and (4, 8). NEED ANSWER QU
    12·1 answer
  • Find Use proportion<br> 24 =18/15<br> 21<br> b<br> 18<br> 20<br> 16
    11·1 answer
  • PLZZZZZ HELP ASAPPPP
    13·1 answer
  • HELP
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!