Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)
Answers
Given:
The coordinate of point R in quadrilateral RUST are (2,4).
R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 3, centered at the origin, then
[tex](x,y)\to (3x,3y)[/tex]
We value R(2,4).
[tex]R(2,4)\to R_1(3(2),3(4))[/tex]
[tex]R(2,4)\to R_1(6,12)[/tex]
The rule of translation is:
[tex](x, y)\to (x+4,y)[/tex]
Using this rule, we get
[tex]R_1(6,12)\to R'(6+4,12)[/tex]
[tex]R_1(6,12)\to R'(10,12)[/tex]
Therefore, the coordinates of point R' are (10,12) and the correct option is B.
Related Questions
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answers
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
Shakir has relatives in Ottawa, Canada. His aunt told him that the average temperature in April is 8.6°C higher than it is in March. She also said that the average temperature in February is −11.8°C.
If the average temperature in April is 3.8°C, how much colder is the average temperature in February than the average temperature in March?
a
It is 7°C colder.
b
It is 4.8°C colder.
c
It is 3.2°C colder.
d
It is 24.2°C colder.
Answers
Answer:
Step-by-step explanation:
did u get the answer?//
You’re walking down the hall and you overhear someone talking about you behind your back. What would you do and why?
Answers
Answer: Go up and confront them because i hate when people do that!
Step-by-step explanation:
Answer:
Slap them
Step-by-step explanation:
Don't let people talk bad about you/j
What you should actually do and a answer the teacher is looking for would be to either ignore it and move on because there is not use starting drama or to confront them and ask what they are saying about you so that you don't jump to conclusions
is it true or false that The adjacent is the shortest side on a right triangle.
Answers
BRAINLIEST!!
which statement correctly compares the function y = 5x + 5
Answers
Solved Correct Answer B ( conjucted with association of y= 5x + 5 - Graphed (0,5)
Will Give Brainliest
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answers
Answer:
4/6
Step-by-step explanation:
im smart trust
enign
1)
The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3.14 for it
ime
maining
00:36
Tools
A)
13 feet
Eliminate
B)
26 feet
51 feet
D)
102 feet
O
0
Answers
yo i need help please i can’t fail please help me i’ll even give u a brainliest
A: 36 cubic cm
B: 339.12 cubic cm
C: 113.04 cubic cm
D: 678.24 cubic cm
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the volume of the cone is
V= πr²[tex]\frac{h}{3}[/tex]
A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.
Answers
Answer:
86.33 square micrometers
Step-by-step explanation:
A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.
The formula for the Surface Ares mma is given as :
A=a² + 2a √a²/4+ h²
a = base edge = 5 micro meters
h = height = 5.6 micro meters
=5²+2× 5 × √5²/4+ 5.6²
= 86.32699 square micrometers
≈ 86.33 square micrometers
hey cutie pls help me thank u !!
f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1
Compute the following:
Find f(3)
Choose the best answer
A)9
B)5
C)10
Answers
If anyone can help :)
Answers
Answer:
irrational
Step-by-step explanation:
reason
[tex] - \frac{5}{52} [/tex]
Get 20 points.The square root of 144 is 12, because12 x 12 = 144. The square root of 169 is 13, because
13 x 13 = 169. Which expression will give the closest approximation to the square root of 156?
Answers
Answer:
A
Step-by-step explanation:
I took the assignment before hand thats the answer.
plz someone solve this problem
6 ×½ = 3
Answers
Answer:
[tex]6[/tex]×[tex]\frac{1}{2} =3[/tex]
Step-by-step explanation:
Yeah.
What is the third angle of a right triangle if one of the angles measures 42.6
Answers
Answer:
112
Step-by-step explanation:
lol not 100% sure
Total angle for triangle = 180
To find the third angle
180-90-42.6 = 47.4
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cup of juice to mags. how much is left in lunas glass
Answers
Answer:4/8 or simplified answer 1/2
Step-by-step explanation:
3/4 + 3/8, first you have to find the highest common factor of 4 and 8.
The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.
6/8 + 3/8= 9/8
9/8 - 5/8= 4/8
The simplified answer is 1/2
use the pythagorean theorem to find the unknown side of the right triangle? hii does anyone know the hypotenuse length?
Answers
Answer:
17
Step-by-step explanation:
8^2 + 15^2 = c^2
64 + 225 = c^2
√289 = c
c = 17
Answer:
yes the answer is 17
Step-by-step explanation:
all you have to do for next time is a^2+b^2=C^2
a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs
Gloria says the two expressions -2(3x-3) and -6x+1 are equivalent. Is She correct? Explain how you know.
Answers
Answer:
No she is not correct .
Step-by-step explanation:
Given
-2(3x-3)=-6x+1
simplify the right hand side
-6x+6 that is not equal to -6x+1
What are the solutions of the equation (x - 3)2 + 2(x - 3) - 8 = 0? Use u substitution to solve.
Ox= -5 and x = 1
O x= -1 and x = 5
O x= -1 and x = -7
Ox= 1 and x = 7
Answers
Given:
The equation is:
[tex](x-3)^2+2(x-3)-8=0[/tex]
To find:
The value of x.
Solution:
We have,
[tex](x-3)^2+2(x-3)-8=0[/tex]
Substitute [tex]x-3=u[/tex].
[tex]u^2+2u-8=0[/tex]
Splitting the middle term, we get
[tex]u^2+4u-2u-8=0[/tex]
[tex]u(u+4)-2(u+4)=0[/tex]
[tex](u-2)(u+4)=0[/tex]
Using zero product property, we get
[tex]u-2=0\text{ and }u+4=0[/tex]
[tex]u=2\text{ and }u=-4[/tex]
Now, substitute [tex]u=x-3[/tex].
[tex]x-3=2\text{ and }x-3=-4[/tex]
[tex]x=2+3\text{ and }x=-4+3[/tex]
[tex]x=5\text{ and }x=-1[/tex]
Therefore, the correct option is b.
The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Quadratic equationFrom the question, we are to determine the solution of the given equation
(x - 3)² + 2(x - 3) - 8 = 0
First, we will expand the equation and clear the brackets
[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]
[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]
[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]
Simplifying
[tex]x^{2} -4x - 5 = 0[/tex]
Factorizing, we get
[tex]x^{2} -5x +x- 5 = 0[/tex]
[tex]x(x-5)+1(x- 5) = 0[/tex]
[tex](x+1)(x-5)= 0[/tex]
Then,
x + 1 = 0 or x - 5 = 0
x = -1 or x = 5
Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Learn more on solving Quadratic equations here: https://brainly.com/question/8649555
At a team meeting, 80% of the tennis team was there. If there were 12
people at the meeting, how many
people are on the team?
Answers
Answer:
15 people
Step-by-step explanation:
let x=total # of people on the team
80%=12
80/100=12/x
cross multiply
80x=1200
division property of equality (divide both sides by 80)
x=15
There are 15 people on the team.
HURRY PLEASE IM NEED HELP!!!!!!
Answers
Answer:
I can barely see it can you make it bigger somehow
Step-by-step explanation:
The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% Research 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 7.5 hours • 15 hours
Please explain
Answers
Answer:
maybe 2.9 hours
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to 6(w - 4)
Answers
Answer:
6w-24
Step-by-step explanation:
You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24
Answer:
(w - 4)6
Step-by-step explanation:
its the same exact thing but if you're looking for the simplified version then it's 6w-24
Alyssa attends football games at her school. At each football game, she buys a bottle of water for $0.75 and a candy bar for dollars. Select all expressions that represent the amount of money, in dollars, Alyssa spends after attending 6 football games.Immersive Reader (10 Points) 6(0.75)() 6(0.75) + 6() 6 + 0.75 + x (6 + 0.75)(6 + )
Answers
Can someone please help me with math. Pls don't take my points.
Answers
Answer:
0.09
0.16
0.35
0.65
0.19
0.56
Step-by-step explanation:
How many solutions are there to this equation 3(3x-)=6x-3 please help
Answers
Steps - 3(3x)=6x-3
9x=6x-3
-6x -6x
3x=3
X=1
Help pls class is going to start soon
Answers
Salma made 378 for 18 hours of work. At the same rate, how much would she make for 5 hours of work?
Please help me answer this question!
Answers
Help! please and thank you!!
Answers
Answer:
y = (x - 4)(x + 2)
Step-by-step explanation:
Quadratic Formula:
ax² + bx + c = 0Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.
Answer:
[tex]y= (x-4)(x+2)[/tex]
Step-by-step explanation:
To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.
Please help due in 5 minutes
Answers
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
If y varies directly with x, and y =9 when x=3, what is x when y=15
Answers
directly varies for that mean if y increases x will increase too and the other way around if y decreases x will decrease too.
an easy way to solve this is to make all values into fraction ik it sounds confusing lemme explain it. so if we say [tex]\frac{x}{y}[/tex] and add the values of the known [tex]\frac{3}{9}[/tex] we can say that if [tex]\frac{x}{15}[/tex] is equal to [tex]\frac{3}{9}[/tex]
now we just solve it for x
[tex]\frac{x}{15} = \frac{3}{9} \\9x = 45\\x= 5[/tex]
hence when y is 15 x will be 5