Answers
Answer: Check out the diagram below
The reflected image is shown in red.
=================================================
Explanation:
Draw a vertical line through -2 on the x axis. This is the mirror line.
Now focus on the upper right corner of the figure, which is at (-3, -1). Notice how the horizontal distance from this corner point to the mirror line is exactly 1 unit. If we move another 1 unit to the right, then we'll arrive at (-1,-1) which is where the reflected point lands or ends up.
In short, the upper right corner point (-3,-1) reflects over x = -2 to land on (-1,-1)
----------------------
As another example, the upper left corner point (-5, -1) will move exactly 4 spaces to the right to get to the mirror line. Then we move another 4 spaces to the right to get to (2,-1).
So the upper left corner (-5,-1) will ultimately move to (2,-1) after the reflection over x = -2.
Apply these steps to the other corner points and you'll end up with what is shown below.
Take note that a point like A(-5,-1) moves to A'(1,-1), and similar to the other points as well. Also, notice that when going from A to B to C, etc we are moving clockwise. We move counterclockwise when going from A' to B' to C' etc. Reflections always swap the orientation.
Transformation involves changing the position of a shape.
The coordinates of the image are:
[tex]\mathbf{A '= (1,1)}[/tex] [tex]\mathbf{B' = (-1,-1)}[/tex] [tex]\mathbf{C' = (-1,-4)}[/tex] [tex]\mathbf{D' = (0,-4)}[/tex]
[tex]\mathbf{E' = (0,-3)}[/tex] [tex]\mathbf{F = (1,-3)}[/tex]
The vertices of the shape are:
[tex]\mathbf{A = (-5,-1)}[/tex]
[tex]\mathbf{B = (-3,-1)}[/tex]
[tex]\mathbf{C = (-3,-4)}[/tex]
[tex]\mathbf{D = (-4,-4)}[/tex]
[tex]\mathbf{E = (-4,-3)}[/tex]
[tex]\mathbf{F = (-5,-3)}[/tex]
The rule of reflection across line x =-2 is:
[tex]\mathbf{(x,y)=(-x -4,y)}[/tex]
So, we have:
[tex]\mathbf{A '= (5 - 4,-1) = (1,-1)}[/tex]
[tex]\mathbf{B' = (3-4,-1) = (-1,-1)}[/tex]
[tex]\mathbf{C' = (3-4,-4) = (-1,-4)}[/tex]
[tex]\mathbf{D' = (4-4,-4) = (0,-4)}[/tex]
[tex]\mathbf{E' = (4-4,-3) = (0,-3)}[/tex]
[tex]\mathbf{F = (5-4,-3) = (1,-3)}[/tex]
So, the coordinates of the image are:
[tex]\mathbf{A '= (1,-1)}[/tex]
[tex]\mathbf{B' = (-1,-1)}[/tex]
[tex]\mathbf{C' = (-1,-4)}[/tex]
[tex]\mathbf{D' = (0,-4)}[/tex]
[tex]\mathbf{E' = (0,-3)}[/tex]
[tex]\mathbf{F = (1,-3)}[/tex]
See attachment for the image of the transformations
Read more about transformations at:
https://brainly.com/question/11709244
Related Questions
WGiven the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9
Answers
Answer:
x = 24, x = -16
Step-by-step explanation:
Given the function f(x) = 0.5|x – 4| – 3, we are to find the values of x for f(x) = 7
Substitute f(x) = 7 into the expression;
7 = 0.5|x – 4| – 3
For the positive function
7 = 0.5(x – 4) – 3
7 = 0.5x - 2 - 3
7 = 0.5x - 5
7+5 = 0.5x
12 = 0.5x
12 = x/2
Swap
x/2 = 12
x = 12 * 2
x = 24
For the negative function
7 = 0.5-(x – 4) – 3
7 = 0.5(-x +4) - 3
7 = -0.5x +2 - 3
7 = -0.5x - 1
7+1 = -0.5x
8 = -x/2
Swap
-x/2 = 8
-x = 8 * 2
-x = 16
x = -16
Hence the required values of x are -16 and 24
The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week.
Answers
Answer:
[tex](a)\ y = -0.75x + 26[/tex]
[tex](b)\ y = 14.75[/tex]
Step-by-step explanation:
Given
See attachment for scatter plot
Required
Equation of the line of best fit
Pick any two points on the line
[tex](x_1,y_1) = (24,8)[/tex]
[tex](x_2,y_2) = (8,20)[/tex]
Calculate the slope (m)
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m =\frac{20-8}{8-24}[/tex]
[tex]m =\frac{12}{-16}[/tex]
[tex]m =-0.75[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = -0.75(x - 24) + 8[/tex]
[tex]y = -0.75x + 18 + 8[/tex]
[tex]y = -0.75x + 26[/tex]
Solving (b): y, when [tex]x = 15[/tex]
[tex]y = -0.75x + 26[/tex] becomes
[tex]y = -0.75*15 + 26[/tex]
[tex]y = -11.25 + 26[/tex]
[tex]y = 14.75[/tex]
What is the range of the given function? To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
Answers
The question is incomplete. The complete question is :
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The variables cannot be labeled without a table of values.
The variables cannot be labeled since any value can be selected for either
Solution :
Given equation :
g = 748 u
Here, g = total number of gallons of water used
u = number of units
Customers uses the number of units of water.
The unit of water is independent of the total number of gallons of water used.
So the number of units u is an independent variable.
But the value of gallons of water depends on the number of units that is used.
Therefore, number of gallons of water g is a dependent variable.
Thus, we can say that :
g is dependent variableu is independent variableMirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the nearest 10th of a meter per second
Answers
Answer:
6.4 meters per second
Step-by-step explanation:
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Speed = distance / time
Olympian's speed = 100 / 9.6 = 10.4 meters per second
Sarah's speed = 16.8 meters per second.
Difference in speed = 16.8 - 10.4 = 6.4
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?
Answers
PLEASE HELP ME- i don't know what to do
Answers
Answer:
5x-20=3x(alternate angle)
5x-3x=20
2x=20
x=20/2
x=10
now ,
2y +4y+5x-20=180(sum of angles of a triangle)
6y+50-20=180
6y+30=180
6y=180-30=150
y=150/6
y=25
hope this will help
A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
Answers
Answer:
MP = RS 7,800
Step-by-step explanation:
Let
Marked price = MP
MP x (100 – 15) / 100 = Rs 6,630
MP × (85)/100 = Rs 6,630
MP = Rs 6,630 ÷ 85/100
MP = 6,630 × 100/85
MP = 663,000/85
MP = 7,800
MP = RS 7,800
x/3 + 1/1
pls answer if you know
Answers
Answer:
[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]
Answer:
[tex] \frac{x + 3}{3} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answers
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Answers
Answer:
What are the statements?
Step-by-step explanation:
You have to list the statements.
I need help with 16-25 please
Simplify using only positive exponents
Answers
Answer:
16. 8/x
17. 8x
18. 4x⁴/y³ (not clear)
19. 16x^8
20. 256 R⁴
21. 64x^6
22. 81x^8
23. 1/ 3x
24. 5x
25. 1
helppppppp pllzzzzzzzzzzzz
Answers
Answer:
D 1/25
Step-by-step explanation:
5 multiplied by the negative second power is .04, .04 times 25 equals 1.
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
Answers
Find the value of x.
Answers
Answer:
Step-by-step explanation:
Vertically opposite angles are equal
8x + 2 = 7x + 11
Subtract 2 from both sides
8x = 7x + 11 - 2
8x = 7x + 9
Subtract 7x from both sides
8x - 7x = 9
x = 9
help with these 3 I did all the other questions of the assignment, these are confusing ASAP
Answers
Answers:
Problem 7) 25.2 feetProblem 8) Angle = 52 degrees; Distance = 14.3 feetProblem 9) DE = 22, EC = 10, BC = 20=====================================================
Explanation:
The diagrams for problems 7 and 8 are shown below.
------------------------------------
Problem 7
Apply the tangent ratio to find that...
tan(angle) = opposite/adjacent
tan(42) = x/28
28*tan(42) = x
x = 28*tan(42)
x = 25.2113132403396
x = 25.2
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.
------------------------------------
Problem 8, part 1
To find the angle y, we must use the sine ratio
sin(angle) = opposite/hypotenuse
sin(y) = 18/23
y = arcsin(18/23)
y = 51.5000495907521
y = 52 degrees approximately
------------------------------------
Problem 8, part 2
We can use the pythagorean theorem to find the missing side x
a^2+b^2 = c^2
18^2+x^2 = 23^2
324+x^2 = 529
x^2 = 529-324
x^2 = 205
x = sqrt(205)
x = 14.3178210632763
x = 14.3
Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x
tan(angle) = opposite/adjacent
tan(y) = 18/x
tan(51.50004959) = 18/x
x*tan(51.50004959) = 18
x = 18/tan(51.50004959)
x = 14.3178210636621
x = 14.3
------------------------------------
Problem 9
The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.
Since we have similar triangles, we can solve for x like so
DE/AC = BE/BC
x/44 = 10/20
20x = 44*10
20x = 440
x = 440/20
x = 22
So DE is 22 units long. Note how this is half as long as the side AC = 44.
Help ASAP. I will give brainliest
Answers
Answer:
Step-by-step explanation:
Hope this helps u !!
After a congruence transformation, how would the perimeter of the triangle be?
Answers
if a recipe calls for 0.8 cups of water per cup of water per 5/8 cups of milk. What is the unit rate per cup of milk ( with correct labels )
Answers
Answer: 1.28 cups of water per cup of milk
Step-by-step explanation:
0.8 divided by 5/8 equals 1.28
verified by my teacher :)
what are the zeros of the function f(x)=x^2-3x?
Answers
Do you want me to explain why?
Help me find the answer for this Acellus question! Find CD.
Answers
Answer:
DE = AE - AD
=> DE = 18.5 - 15.5 = 3
CD = CE - DE = 8 - 3 = 5
A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?
Answers
Answer:
25 red marbles
Write this percentage as a fraction in its simplest form.
30%
Answers
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
Can someone help me with these problems and explain them as well please
Answers
Answer:
b=112°
Step-by-step explanation:
two complementary angles
b=180°-68°=112°
sum of 2 angles is
x= 35°+25°=60°
Answer:
3. b=112
4. x = 60
Step-by-step explanation:
3.
b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.
4.
35+25 = 60, therefore x = 60.
Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?
Answers
Answer:
You wrote the question wrong...
m is not -16 it is -1/6 (that is a big difference)
y=mx+b
y=-1/6x+b
3 = -1/6(12) + b
3 = -2 + b
b=5
Step-by-step explanation:
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Answers
Step-by-step explanation:
The area of a square is given by :
A = a²
Where
a is the side of the square
For square A, Area = 64 sq units
64 = a²
a = 8 units
For square B, Area = 30 sq units
30 = a²
a = [tex]\sqrt{30}[/tex] units
For square C, Side length = 14 units
A = 14²
A = 196 sq units
For square D, Side length = [tex]\sqrt{30}[/tex] units
A = [tex](\sqrt{30})^2[/tex]²
A = 30 sq units
Hence, this is the required solution.
Please help I put 74 points there is an image
Answers
Answer:
x = 37 y = 27
Step-by-step explanation:
x = y + 10
x + y = 64
y + 10 + y = 64
y = 27
64 - 27 = 37
Answer:
What coatside dad said
Step-by-step explanation:
What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?
Answers
Step-by-step explanation:
Simple interest=principal× time× rate/100
=7430×3×5/100
=1114.5
Answer:
114.5
Step-by-step explanation:
Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax
Answers
Answer: $17.85
Step-by-step explanation:
The tax on the T-shirt is 5% and the price is $17.
To find the after-tax cost, first find the tax amount:
= 5% * 17
= $0.85
Then add this tax amount to the price to find the after-tax amount:
= 17 + 0.85
= $17.85
round to the nearest whole number than add 4.208 + 2.482
Answers
4.208 + 2.482= 6.69 so rounding that would be 7
4.208 + 2.482 = 6.69
When we round it to the nearest, it becomes 7.
Hope it helps you..
7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is
Answers
Answer:
something.....................