Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
a. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
b. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
c. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
d. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
Answers
Answer:
d. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
Step-by-step explanation:
Solid transformation is a process which changes the orientation, shape and size of a given objects. Types of solid transformation are: rotation, reflection, dilation etc. This process would produce an image of the initial figure which has been transformed appropriately.
From the given question, figure PQRS can be transformed into P′Q′R′S′ by a counterclockwise rotation at [tex]90^{o}[/tex] about the origin. This would be followed by a reflection about the y-axis.
Thus, the correct option is D.
Related Questions
Evaluate the function.
Given f(x) = x2 - 4x2 - 3x - 5, find f(5).
Answers
Answer:
5
Step-by-step explanation:
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answers
Answer:
14400 gallons of gas
Step-by-step explanation:
If x = 10 and y = -5, then what is the value of 9x - 3y - 12?
Answers
Answer:
93
Explanation:
x = 10y = -59x - 3y - 12
Substitute 10 for x and -5 for y9(10) - 3(-5) - 12
= 93
PLEASE HELP ME ASAP! IM SUPERRR CONFUSED
HOW DO I SOLVE
18 = x – 9
????????
Answers
Answer: 27
Explanation: This question is pretty easy, no hard math involved. all you need to do is 18+9
Write your answer with no space and any fraction with “/“
Answers
Answer:
y+3=-1/2(x-1)
Step-by-step explanation:
Point-slope form of a line is given by the equation y - b = m(x - a), where,
(a, b) = is a point on the line
m = slope of the line.
A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.
The slope of the line, y = 2x - 1, is 2.
The negative reciprocal of 2 = -½.
The slope of the line that is perpendicular to y = 2x - 1 is -½.
Thus, m = -½.
Let's find the equation of the perpendicular if it passes through the point (1, -3).
Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).
Thus:
y - (-3) = -1/2(x - 1)
y+3=-1/2(x-1)
Which expression is a sum of a number and product. Answers. .8+3x .X+1 over 5 2(x-9). 5+x-4
Answers
Answer:
8 + 3x
Step-by-step explanation:
A product is a multiplication, such as 3 * 5, 2x, 4y.
3x is a product.
8 + 3x is the sum of the number 8 and the product 3x.
Answer: 8 + 3x
Can anyone help please
Answers
Answer:
16 cups
Step-by-step explanation:
8 fluid ounces in 1 cup
So 128/8=16
16 cups
1)10 = z+ 6
2) 8y = 48
3) q-12 = 1
6)11 = m-4
7)t-19=2
8)1+S = 3
9)24 = 4c
Please explain how these are solved please respond quickly
Answers
2 y= 6 48/8
3. Q= 13 12+1
6 m=15 11+4
7. 21 19+2
8. S=2 3-1
9. C=6 24/4
which ratios are equivalent to 12:24? I have to select each correct answer.
Answers
Answer: 1:2, 2:4, 3:6, 4:8, 5:10, 6:12, 7:14, 8:16, 9:18, 10:20, 11:22, 13:26, 14:28, 15:30
Step-by-step explanation:
These r just a few.
Hope this helps :)
Evaluate the expression if x=6.7x
Answers
Answer: x=1
Step-by-step explanation: x=6.7(x)
The price of an item has been reduced h 45% the original price was $49
Answers
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
Solve the equation. k − 34 = 71
Answers
Answer:
105
Step-by-step explanation:
[tex]k − 34 = 71 \\ \\ k = 71 + 34 \\ \\ k = 105[/tex]
Answer:
k=105
Step-by-step explanation:
34+71=105
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month, and she will be making this purchase on the last day of the month. If her finance charge will be $51, write and solve an equation to determine her current balance on her credit card.
Answers
Answer:
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Step-by-step explanation:
X=Previus Debt
Debt= Previus debt + 1400
Finance Charge 51.
Debt=1400+1150= 2550
Average debt= Previus debt + 1400
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Interest capital Debt Payment
1 51 213 2,338 264
2 47 213 2,125 259
3 43 213 1,913 255
4 38 213 1,700 251
5 34 213 1,488 247
6 30 213 1,275 242
7 26 213 1,063 238
8 21 213 850 234
9 17 213 638 230
10 13 213 425 225
11 9 213 213 221
12 4 213 0 21
express 4037 in standard form
Answers
Answer: 4.037 × 10³
Step-by-step explanation:
If you simplify 4.037 × 10³, you get 4037
4.037 × 10³
4.037 × 1000
4037
Hope this helped!
What is the perimeter of ABC with vertices A (-2,9) , B (7,-3) , C (-2,-3) in the coordinate plane?
A. 21 units
B. 15 units
C. 34 units
D. 36 units
Answers
9514 1404 393
Answer:
D. 36 units
Step-by-step explanation:
Using the distance formula, we find the length of AB to be ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15
The line BC is horizontal, so its length is the difference of the x-coordinates:
BC = 7 -(-2) = 9
The line AC is vertical, so its length is the difference of the y-coordinates:
AC = 9 -(-3) = 12
The sum of the lengths of the sides of the triangle is ...
P = 15 + 9 + 12 = 36
The perimeter is 36 units.
which expression are eguivalent to x+2y+x+2
Answers
Answer:
2x + 2y + 2
Step-by-step explanation:
x + 2y + x + 2
1. Combine like terms
x + x = 2x
there is only one y and one number w.out variable so you cannot combine anything else
2x + 2y + 2
and u cannot simplify it anymore
Hope this helped!
Which expression gives the best estimate of 30 percent of 61?
1/5(60)
1/10(60)
1/4(60)
1/2(60)
Answers
Answer:
The answer is 1/5 (60)
Why does it have be at least 20 words before I can send it
Answer: C is correct also 1/4(60)
Step-by-step explanation:
ur welcome buddo
What is the area of the rectangle with points of (-5,5) (-1,7) (0,-5) (4,-3)
Answers
Answer
l =5
w =2
Area of Rectangle= l × w
= 5 × 2 = 10
Diagram is attached to this:
Step-by-step explanation:
Slope = 3/4 and y intercept of 1
Answers
Answer:
It's in the attached file below :)
Step-by-step explanation:
The difference between 16.03 and 7.385 is …….
Need help asap
Answers
Answer:
8.645
Step-by-step explanation:
use the algorithim to show your work :
16.03
- 7.385
8.645
don't forget to line up the decimal points
Exchange rates help you to know ____.
when it is best to travel
how much your currency is worth in another currency
what other economies think of your money
when to exchange your money
Answers
Answer:
B
Step-by-step explanation:
how much your currency is worth in a different currency
hope this helps <3
help MEEEEEE PLEASEEEEEEE
Answers
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
If someone was to conduct a study in the field of microeconomics, which of the following questions might the arrempt to answer?
Answers
Answer:
When will a firm decision expand, downsize, or close?
hope this helps!!:)
Step-by-step explanation:
Can someone please help me with numbers 4 and 5!!!
Answers
Answer:
Area: 378.5
Perimeter: 71.4
Step-by-step explanation:
Area = 3 square + 2 semicircle
A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5
perimeter = 2 square/2 + 2circle/2
P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4
i hate callmecarson
he is so mean and evil
Answers
did he do smt to you?
Answer:
who is he and what has he done, if you don't mind me asking
Find Equations for the line
Answers
Answer:
Step-by-step explanation:
(-3, -1) and (3, 2)
(2 + 1)/(3+3)= 3/6= 1/2
y + 1 = 1/2(x + 3)
y + 2/2 = 1/2x + 3/2
y = 1/2x + 1/2
The ratio of boys to girls at a movie is 4:5. If there are 15 girls, how many boys are at the movie?
Answers
Answer:
There are 12 boys at the movie.
Step-by-step explanation:
Key skills needed in order to solve: Proportions, Ratios, and Multiplication
1) The ratio is 4 boys : 5 girls --> It can be written as a fraction --> 4/5
2) If there are 15 girls, we need to find the number of boys. let's say x is the number of boys when there are 15 girls. The ratio would then be x/15
3) Make a proportion --> [tex]\frac{4}{5}[/tex] = [tex]\frac{x}{15}[/tex]
You have to cross multiply here. You do the first fraction's numerator times the second fraction's denominator, and the first fraction's denominator times the second fraction's numerator.
4) This means you have to do: 4(15) = 5(x)
5) Multiply it out --> 60=5x
6) Divide by 5 and you will get x=12
Therefore there are 12 boys at the movie.
Hope you understand and have a nice day!! :D
Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.
Answers
Explanation:
There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.
I have attached the answer in the picture.
p=7q-3 make q the subject
Answers
Answer:
q = (P + 3) / 7
Step-by-step explanation:
Give the expression :
P=7q-3
To make q the subject
Isolate 7q by adding 3 to both sides
P + 3 = 7q + 3
P + 3 = 7q
To. Isolate q alone, multiply both sides by 1/7
(P + 3) * 1/7 = 7q * 1/7
(P + 3) / 7 = q
q = (P + 3) / 7
Simple math question (Pic provided) (Algebra)
Answers
Answer:m<k+m<k=180+167-133=100
Step-by-step explanation: