Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?
Answers
Answer: the second one
Step-by-step explanation:
The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).
(x, y) becomes (-y, x) in 180° clockwise rotation
A(-5, 4)→(-4, -5)
B(-2, 4)→(-4, -2)
C(-1, 1)→(-1, -1)
Now,
The reflection of point (x, y) across the y-axis is (-x, y).
Then, coordinates become
(-4, -5)→A'(4, -5)
(-4, -2)→B'(4, -2)
(-1, -1)→C'(1, -1)
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
To learn more about the reflection over y-axis visit:
https://brainly.com/question/15175017.
#SPJ3
Related Questions
25 pints= gallons? pints?
Answers
Answer:
3.125 gallons
Step-by-step explanation:
25 pints could be converted to about roughly 3.125 gallons.
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is $17,635. Find the increase and the new price. The increase in the price of the car is $? (Round to the nearest cent as needed.) The new price of the car is $? (Round to the nearest cent as needed.)
Answers
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
Garrett has a current checking account balance of $495. Over the next three days, he receives a direct deposit of $775.75 from his job, pays an annual online banking fee of $34, and makes purchases of $44.21 and $7.92. He then withdraws $80 from an ATM that charges a $2.50 usage fee. What is Garrett's account balance at the end of the 3-day period? Write your answer in numeric form, such as 1369.05.
Answers
Answer:
1102.42
Step-by-step explanation:
495 + 775.75=1270.75
1270.75 - 34=1236.75
1236.75 - 44.21=1192.54
1192.54 - 7.92=1184.62
1184.62 - 82.2=1102.42
Answer:$1102.12
Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount and you get $1102.12
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answers
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answers
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
If f(x) = 2x2 + 3 and g(x) = x2 - 7, find (f-9)(x).
O A. 3x2 - 10
O B. 3x2 - 4
O c. x2 + 10
O D. x² - 4
Plzzz helpp
Answers
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x^2 + 3
g(x) = x^2 - 7,
(f-g)(x) = 2x^2 +3 - ( x^2 -7)
Distribute the minus sign
= 2x^2 +3 -x^2 +7
Combine like terms
= x^2 +10
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answers
Answer:
≈ 0.7% error
Step-by-step explanation:
To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.
Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.
The percent error is approximately 0.7%
the table below represents the function f
Answers
Answer:
1
Step-by-step explanation:
I belive its one because 3^2 is 9 and 9+1 = 10
to make sure it not just once 3^3 is 27 and 27+1=28
answers ? Idk how to do this
Answers
Answer:
Step-by-step explanation:
ghjikop0987trsxzcvbhtrdxc vbhgfc
what is the answer for n ?
Answers
Answer:
18
Step-by-step explanation:
The formula for interior angles in a ngon is
(n-2)*180
2880/180=16
n-2=16
n=18
Directions - Find the degree of the monomial.
-4xyz~3
Degree =
Answers
Answer:
5
Step-by-step explanation:
To find the degree of a monomial, add the values of all the exponents together. In this example, x and y both have an exponent of 1. the exponents of x + y + z is 1 + 1 + 3. The degree is 5. Hope this helps!
Can someone please answer this question?
Answers
Answer:
you answer would be A. I hope this helps
Step-by-step explanation:
HELPPPPPPP PLEASEEE!!!
Answers
Answer: A. (-1,-10)
The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].
According to the equation given a = 1, and b = 2.
[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]
The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.
[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]
∴ the vertex is (-1,-10).
If it is on sale for 20% OFF and the sale price is $68; what was the original price?
Answers
Answer:
85
Step-by-step explanation:
The discount is original price times the percent off
The sale price is the original price minus the discount
original price - original price * 20 % = 68
Factor out the original price and change the percent to a decimal
original price ( 1 - .20) = 68
original price ( .80) = 68
Divide each side by .80
original price = 68/.80
original price = 85
Answer:
$13.60
Step-by-step explanation:
($68 x 20%) / 100
1360 / 100 = 13.6
equation of the line that passes through (2, -1) and has a slope of
-5
Answers
solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
Answers
Answer:
Proved;
See Explanation
Step-by-step explanation:
Given:
Shape: Parallelogram
Sides: b and c
Required:
Show that P = 2b + 2c
Let P represents the perimeter of the parallelogram.
There are 4 sides in a parallelogram where 2 sides are opposite and parallel
Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.
This means that the sides of the parallogram are b,c,b,c
The perimeter of any shape is calculated by adding the lengths of the shape;
This means that
[tex]P = b + c + b + c[/tex]
Collect like terms
[tex]P = b + b + c + c[/tex]
[tex]P = 2b + 2c[/tex] ------ Proved
4. Last year, an intramural touch football team at the local university had a decent
season. The total points scored by the team for each of the 20 games are listed
below.
24
49
28
50
34
51
36
52
36
52
40
62
41
67
43
68
43
73
48
79
Construct a histogram of the data
Answers
Answer:
The histogram is attached
Step-by-step explanation:
The histogram attached shows the points scored in each game, where total number of games are 20
Histogram is made by the following details:
X-Axis: Game No.
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)
Y-Axis: Total points scored in that game.
(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)
Different colors are used for each much so that it is easy to differentiate among them.
Please help me with this
Answers
Answer:
a) -2 -< x-< 2
b) -1 < x and < 2
Step-by-step explanation:
We use -< as the numbers are included in the solution being -2 and 2
We use < as the numbers are less than -1 and 2
You know the difference i just couldn't copy and paste the inequalities for a).
They face the same way I have shown.
If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.
what is -5+11y-3=25? will mark brainliest!!
Answers
Step-by-step explanation:
-5 +11y -3 = 25
11y = 25 + 5 + 3
11y = 33
y = 33/11
y = 3
-8+11y=25
11y=25+8
11y=33
y=33/11
y=3
PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answers
Answer:
For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)Step-by-step explanation:
A boat is carrying containers that weigh 1000 pounds each.
For the table
2 x 1000 = 2000
4 x 1000 = 4000
7 x 1000 = 7000
For the graph
2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.
Is my answer correct?
Answers
Answer:
No
Step-by-step explanation:
It should be -8 degrees because 5x4=20 and 12-20=-8
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Answers
Step-by-step explanation:
so round up is b equal a plus 10....
Consider 2.25t + 5 = 13.5t + 14
Write the resulting equation after moving the 2.25t to the right side
If 13.5t is moved to the left side, what is the resulting equation?
--------------------------------------------------------------------------------
Andre and Diego were each trying to solve 2x + 6 = 3x -8.
Describe the first step they each make to the equation.
Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8
Answers
Answer:
5 = 11.25t +14-11.25t +5 =14Andre moved 3x to the left.Diego moved 3x to the rightStep-by-step explanation:
Moving the 2.25t to the right side2.25t + 5 = 13.5t + 14
5 = 13.5t + 14 - 2.25t
5 = 11.25t +14
Moving the 13.5t to the left side
2.25t + 5 = 13.5t + 14
2.25t + 5 -13.5t= 14
-11.25t +5 =14
Andre moved 3x to the left.2x + 6 = 3x -8
2x+6-3x=8
-x+6 =8
Diego moved 3x to the right2x + 6 = 3x -8
6 =3x-8-2x
6= x-8
Feel free to ask for more if needed or if you did not understand something.
The table below shows the weekly change in the price of one gram of gold for four weeks.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?
Answers
Answer:
I mean it changed by .25
Step-by-step explanation:
Im not sure if youre asking for the median or the price difference?
4−2(x−5)=x−19? Help
Answers
Answer:
x=11
Step-by-step explanation:
Start by distributing:
4-2(x-5)= x-19
4-2x+10= x-19
Add 19 and 2x to both sides (the -19 and -2x will turn into 0)
4+10+19= 2x+x
Add 4+10+19
33= 3x
Divide by 3
x=11
write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1
Answers
Answer: [tex]t=-\frac{1}{2}r- 1[/tex]
Step-by-step explanation:
For a lineal equation [tex]t=mr+n[/tex]
For r=0 and t=-1
[tex]-1=m(0)+n\\n=-1[/tex]
For r=-2 and t=0
[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]
Them [tex]t=-\frac{1}{2}r- 1[/tex]
???? The output for 6 is 1????
What addition expression is shown on the
number line?
8
+
?
15
Answers
Santana went for a hike on the 21 mile South Boundary Trail. If she can hike2 miles
in 60 minutes, how long will it take her to hike the entire trail?
Draw a diagram to support your thinking and demonstrate your understanding. Be sure
to show all of your work.
Answers
Answer:
It will take santana 630 minutes or 10.5 hours to complete the 21 miles.
Step-by-step explanation:
[tex]\frac{2}{60\\}[/tex] [tex]\frac{21}{y}[/tex] y is what you are trying to find multiple her miles by the number of minutes and then divided by how many miles in 60 min.the points scored per game by a professional basketball player are represented by the box plot below if the player scores 9 points and 35 points in the next two games how is the median of the data set affected
Answers
Answer:
The median points per game is not affected.
Step-by-step explanation:
Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.
The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.
Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.
Create a two column proof of each problem. Please help!!
Answers
Step-by-step explanation:
In this way it is proved
