The vertices of a figure are given. Draw the figure and its rotation as described. Identify the coordinates of the image.
P(−3, 4), Q(−1, 4), R(−2, 1), S(−4, 1)
180° about vertex R
Answers
Answer:
Step-by-step explanation:
The coordinates of the vertices of △PQR are P(−3,4), Q(−3,1), and R(−1,1). The coordinates of the vertices of △P′Q′R′ are P′(−6,−5), Q′(−6,−1), and R′(−4,−1)
Which statement correctly describes the relationship between △PQR
and △P′Q′R′ ?
A.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′
using a reflection across the x-axis followed by a translation 3 units to the left, which is a sequence of rigid motions.
B.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′
using a translation 3 units to the left followed by a reflection across the x-axis, which is a sequence of rigid motions.
C.) △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′
.
D.) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis followed by a translation 1 unit down, which is a sequence of rigid motions.
The image of the figure is added as an attachment
How to determine the image of the figureFrom the question, we have the following parameters that can be used in our computation:
P(−3, 4), Q(−1, 4), R(−2, 1), S(−4, 1)Rotation by 180° about vertex RThe rule of 180 degrees rotation is
(x, y) ⇒ (-x, -y)
Represent the rotation point R with (a, b)
So, we have
(x, y) ⇒ (-(x - a) + b, -(y - b) + a)
We have
R = (a, b) = (-2, 1)
This gives
(x, y) ⇒ (-(x + 2) + 1, -(y - 1) - 2)
(x, y) ⇒ (-x - 1, -y - 1)
Using the above as a guide, we have the following:
P' = (3 - 1, -4 - 1) = (2, -5)
Q' = (1 - 1, -4 - 1) = (0, -5)
R' = (2 - 1, -1 - 1) = (1, -2)
S' = (4 - 1, -1 - 1) = (3, -2)
See attachment for the image of the point
Read more about transformation at
https://brainly.com/question/4289712
#SPJ1
Related Questions
Answer both parts in order:
A.
A restaurant uses c cups of flour for baking rolls and 12 cups of flour for baking pies each day. Use the Distributive Property to write an expression for how much flour the restaurant uses in seven days.
B.
Simplify the expression from A using the Distributive Property.
Answers
Answer:
(7 x 12) + (c x 7)
Step-by-step explanation:
assuming c = x all I did was multiply the total cups of flour by 7 (7 days in a week. I did that both times.
7(12 + c)
Use this information to answer Parts A, B, and C.
A savings account pays an annual simple interest rate of 1.5%.
Question 1
Part A:
How much interest would you earn in 1 year on $2,000
Part B:
What would be the balance in your account after 5 years?
Part C:
How long would it take to earn $500 or more in interest?
Answer as soon as possible! Please!!! ASAP
Answers
Answer:
A: $30
B: $2150
C: 17 years
Step-by-step explanation:
A: 0.015×2000 = 30
B: 2000 + (30×5) = 2150
C: 2000 ÷ 30 = 17
The scale of figure A to figure B is 1 to 2. If the area of figure A is 6 ft2, what is the area of figure B? A. 24 ft2 B. 12 ft2 C. 30 ft2 D. 3 ft2
A: 24ft2 is your answer
Answers
Answer:
24ft2
Step-by-step explanation:
you the answer
23 students want pancakes and 17 students want waffles. What is the ratio of the number of students who want waffles to the total number of students?
Answers
Answer:
17:23
Step-by-step explanation:
Answer:17 kids want waffles in total there are 40 kids in class so the ratio will be 17:40
Step-by-step explanation:
Hope this helps
Linda set up 34 dominoes on the table, but 3 of them have fallen over. What is the ratio of the number of fallen dominoes to the number of dominoes still standing?
Answers
Answer:3 : 31
Step-by-step explanation: Because if 3 have fallen over then 34 remain
How many degrees does the hour hand on the clock turn when it moves from 12:00 noon to 6:00 pm?
Answers
Explanation:
A full lap around the clock is 360 degrees since it makes a circle. Moving from 12-6 is exactly half a lap, making the degree change 180.
Please Help guys!!!
-Graphing Linear equalities with slope and y-intercept-
Answers
Answer:
I don't know how to type the table but the description is:
Slope= -3/2
y-intercept=0
y-intercept would be the b in y = mx + b and in this equation, it looks like there is no b but there is, it is just an invisible 0 because you don't need to add or subtract 0. The slope is -3/2 because m in the equation y=mx+b means slope.
hope that helps!
You are designing a new, more extensive coral reef exhibit that will stun visitors with its size and vibrant colors.
The tank requires special glass to protect this delicate environment. The glass costs $25,000 + a 10% engineering fee + a 5% shipping fee calculated on the cost of the glass plus engineering charges.
What is the total cost of the glass, including fees?
Answers
Answer:
Total Cost = 25,000(1.10 + 0.05)
Total Cost = 25,000(1.15)
Total Cost = 28,750
The total cost of the glass including fees is $28,750.
HELP ASAP
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Answers
Answer:
2713.0 in3
Step-by-step explanation:
[tex](3.14 \times {9}^{2} \times \frac{14}{3} ) + ( \frac{4}{3} \times 3.14 \times {9}^{3} \times \frac{1}{2} )[/tex]
The 8 students in the Environmental Club represent 5% of the students in the seventh grade. How many students are in the seventh grade?
Answers
Answer:
160 students in seventh grade. Divide the partial amount by the percentage of the partial amount to get the total amount.
Step-by-step explanation:
Please Help me out
{50 points} I will mark brainliest!!!
Answers
Awnser this for me please
Answers
Answer:
1st one 11.67 Second one 12.98 third one 11.76 next row the first one 57.5 second one 5.07 third one 6.91 final row first one 7.62 next one 4.42 last one 6.11 please mark brain list and have a great day.
Step-by-step explanation:
Up to down btw
Yvonne used 5 tablespoons of butter for a recipe. For a second recipe she used 10% less butter than she did for the first recipe. The total amount of butter, in tablespoons, she used for both recipes can be found using the expression below:
5 + 5 – 5(10%)
Which other expression can be used to find the amount of butter, in tablespoons, she used for both recipes?
A. 10 – 5%
B. 10 – 50%
C. 5 + 5(0.9)
D. 5 + 5(1 – 10)
Answers
Refer to the circle to the right.
a. Find the circumference of the circle. use 3 as the estimate of π.
b. Find the circumference of the circle using 3.14 for π.
c. Another estimate of π is 3.14159. Find the circumference using this estimate.
d. What do you notice about the estimate used for π and the circumference of the circle?
Answer and explain how you got to your answer to get brainliest
Answers
Answer:
a. If π = 3 => C = 10 x 3 = 30
b. if π = 3.14 => C = 10 x 3.14 = 31.4
c. if π = 3.14159 => C = 10 x 3.14159 = 31.4159
d. using the whole number of π makes the calculation easier but using the π with more decimals will make the result more accurate.
Step-by-step explanation:
Diameter = 10 => radius = 10/2 = 5
Circumference: C = 2πr = 2π(5) = 10π
a. If π = 3 => C = 10 x 3 = 30
b. if π = 3.14 => C = 10 x 3.14 = 31.4
c. if π = 3.14159 => C = 10 x 3.14159 = 31.4159
d. using the whole number of π makes the calculation easier but using the π with more decimals will make the result more accurate.
Answer: hope this helps ♡
a. C = 3 × 10 = 30cm
b. C = 3.14 × 10 = 31.42cm
c. C = 3.14 × 10 = 31.42cm
d. The bigger the estimated value of π, the bigger the circumference. The circumference gets more accurate when you use the whole number of π.
Step-by-step explanation:
C = π ×d (or 2r) d =10
a. π = 3 C = 3 × 10 = 30cm
b. π = 3.14 C = 3.14 × 10 = 31.42cm
c. π = 3.14159 C = 3.14 × 10 = 31.42cm
d. The bigger the estimated value of π, the bigger the circumference. The circumference gets more accurate when you use the whole number of π.
Can someone help please explain i will make you the brainliest
Answers
Answer: M = 2
Step-by-step explanation:
Combine like terms!
5m + 8m = 13m
3 + 7 +4^2 =
3 + 7 + 16 = 26
13m = 26
M = 2.
Check!
5(2) + 8(2)
= 10 + 16 = 26!
3 + 7 +4^2 =
3 + 7 + 16 = 26
26 = 26
Hope this helps :)
If you know the area of a rectangle, can you determine its length and width? Explain.
Answers
Answer: Yes, you just need to figure out what factors into the area, the factors will be your length and width (Copy and paste this)
Step-by-step explanation:
If you know the area of a rectangle, you can determine its width and length
Example 1:
Area = 18
Figure out what factors into 18
6 x 3 = 18
W (6) x L (3) = A (18)
Example 2:
136 = A
Factors of 136 1, 2, 4, 8, 17, 34, 68, 136.
W (8) X L (17) = A (136)
Complete the following sentence.
The slope of the graph of y = x is______
Answers
Answer:
is 1
Step-by-step explanation:
Out of the 49 students in the gym, 42 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the bleachers to the total number of students?
Answers
Or
42/49
A ratio is an ordered pair of numbers.
Kind of like fractions.
The first part in the question, which in this case was the number of students sitting on bleachers, would be written first. The second part which was, the total number of students, would be written second.
12 students want lemonade and 14 students want iced tea. What is the ratio of the number of students who want iced tea to the total number of students?
Answers
Answer: 14/26=7/13
Step-by-step explanation:
Twenty-six students in total, and only fourteen want iced tea. This is 14/26ths of the students, which simplifies to 7/13ths
Answer:
6/13
Step-by-step explanation:
12+14=26 (total students)
12/26 simplify=
6/13
Which line is perpendicular to NG. A.CB B.CG C.BC D.CN PLEASE HURRY!!
Answers
Answer: B. CG
Step-by-step explanation:
heelpppp pleaseeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
The answer is 1.57 but you can round it up to i think maybe 2 or 1 but the whole thing is 2 because if half of the sphere is 1in then the other half has to also be 1in which equals 2in's.
Answer:
3.10 cubic inches
Step-by-step explanation
if the number was 3.15 you round up but since it's 3.14 so you round down. hope this helps :)
What is the distance from (−6, −3) to (−6, 40)?
−43 units
−37 units
37 units
43 units
PLS ANSWER ASAP
Answers
Answer: D, 43
Step-by-step explanation:
On a coordinate plane, triangle A has points (3, 3), (6, 3), (6, 9). Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2).
Answers
Answer: Your welcome!
Step-by-step explanation:
Triangle A prime is a reflection of triangle A across the x-axis. A reflection across the x-axis will switch the sign of the y-coordinates, leaving the x-coordinates unchanged. This means that the x-coordinates of triangle A prime are the same as those of triangle A, but the y-coordinates are opposite in sign. For example, the y-coordinate of the first point of triangle A is 3, so the y-coordinate of the first point of triangle A prime is -1.
Please help me -3m + -17 = -97 what is M in the equation?
Answers
Answer:
15 is the answer
Step-by-step explanation:
add 3+17=20
20-35=15.
in fration is this
1 10/5
HELP ASAP
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4500/3 πin3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 6 in. and a height of 14 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 10 in. and a height of 12 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Answers
By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.
How many coops does Carissa need to scoop out in each case?
First, we know that the sink has a volume V =
(2000/3)*pi in^3
A) First, she uses a cone of a diameter of 4 in and a height of 8 in.
Remember that the volume of a cone of diameter D and height H is:
V = pi*(D/2)^2*H/3
Then this cone has a volume of:
V = (pi*/3)*(4in/2)^2*8in = (pi/3) 32 in^3
The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:
Rounding it, we get 63, so she needs to scoop 63 times.
B) This time the diameter is 8 in and the height 8in, so the volume of the cone is:
V" = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3
This time, she needs to scoop:
Rounding to the next number we get 16, she needs to scoop 16 times.
So both the answers are correct :)
50 POINTS! Please solve ASAP I will give brainliest to best answer
I will delete any incorrect or fake answers
Answers
Answer: 4(y+3)
'y' is the unknown age
'4' is how many times older your uncle is than your sister
'3' is how many years older she is than you
explanation:
your uncle is 4 times older than your sister so it would have to be your age plus 3 for your sisters age then 4 times that
(hope that made sense)
Oliver's town voted on a new law. There were 34 votes in favor of the law and 16 votes against the law. What is the ratio of the number of votes in favor of the law to the total number of votes?
Answers
Answer:
34:50
Step-by-step explanation:
there were 34 votes in favor of the law and plus the 16 will get 50 total votes. v for votes in favor of the law and t for total then you get v:t
Please Help guys!!!
-Graphing Linear equalities with slope and y-intercept-
Answers
The slope is equal to -2.
The y-intercept is equal to 1.
The equation is y = -2x + 1.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At point (-1, 3), an equation of this line can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 3 = (-1 - 3)/(1 + 1)(x + 1)
y - 3 = -2(x + 1)
y = -2x - 2 + 3
y = -2x + 1
Read more on slope here: brainly.com/question/3493733
#SPJ1
Y=-4
Ok so you y interpret is going to be -2 because that’s were the line cross
I’m not sure what the slope is though
Justin can type "w" words per minute. Melvin can type 4 times as many words as Justin. Write an expression that represents the rate at which Melvin can type. Im supposed to write this as an expression, The first person to answer in 10 minutes gets the brainiest.
Answers
Answer: 4w
Step-by-step explanation: Melvin can type 4 times the amount Justin can so 4 x W or 4w
Question - For each figure below, determine if it has rotational symmetry. If it does, give
the smallest angle of rotation needed for the figure to appear unmoved.
Please Show your work so I can understand. I need the answer by 3/2/23 at 9pm.
Answers
2. No, because if you spin the shape it will have a different appearance.
If you need help with understanding this, imagine you have a circle and spin it. It will look the same. But, if you spin a shape such as an “p” it will look like a “d.”
I hope this answered your question, have a nice day.