Triangle ABC will be dilated according to the rule
[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
The answer is (1,0), but could someone explain how you get it, please?
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/xEGRAX2eUXMiqbQWmxohZ3GE47jZBLkw.png)
Answers
Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.
In this case the center of dilation is located at F: (3,1)
The first step we must take is to find how many units point F is from vertex A.
In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)
Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)
4 * 0.25 = 1
8 * 0.25 = 2
This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:
1 unit vertically
2 units horizontally
Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:
Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)
Reference the second image to see this
Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.
~Just a girl in love with Shawn Mendes
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/rYuLDjxgb49fyAWikoYcM2MD9VTwb0Q8.jpeg)
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/4zSFk4KVapEwPwbfVKRrTdzOrvV4b7Ht.jpeg)
Answer:
D 1,0
Step-by-step explanation:
credit to the one up above
Related Questions
Chen rode his skateboard 334 miles in 34 of an hour.
What was his average speed in miles per hour?
_[blank]_ miles per hour
Answers
hope this helps!
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answers
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
Donna deposits $700 Into an account that pays simple interest at a rate of 5% per year. How much Interest will she be paid in the first 5 years?
Answers
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area
Answers
Answer:
1800 bricks
Step-by-step explanation:
Given
[tex]Sidewalk = 100ft\ by\ 4ft[/tex]
[tex]Brick = 8 in\ by\ 4 in[/tex]
Required
Calculate the minimum bricks needed
To start with, we calculate the area of sidewalk
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
Next, we calculate the area of sidewalk
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Divide area of sidewalks by area of bricks to give number of bricks
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
Choose the correct written expression for: 25 – (3 x 4).
Answers
Answer:
13
Step-by-step explanation:
Answer:
25 minus the product of 3 and 4.
Step-by-step explanation:
PEMDAS
and... I just took the test and it was correct answer.
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
Answers
How can you graphically tell if a quadratic equation will have a complex solution?
Answers
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money did Adriano’s online business earn this month
Answers
Answer: 1150
Step-by-step explanation: 200 + 40 - 10 x 5 = 1150
200 + 40 = 240
240 - 10 = 230
230 x 5 = 1150
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-14)^{\circ}∠A=(2x−14)
∘
and m\angle B=(3x-6)^{\circ}∠B=(3x−6)
∘
, then find the measure of \angle A∠A.
Answers
Answer:
∠ A = 66°
Step-by-step explanation:
Supplementary angles sum to 180° thus
∠ A + ∠ B = 180 , substitute values
2x - 14 + 3x - 6 = 180 , that is
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Thus
∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°
5/8x + 1/3x = 69 x=_
Answers
Answer:
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Step-by-step explanation:
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answers
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!
Answers
Answer:
16. H
17. C
18. G
MAKING A PERSONAL OR HYPOTHETICAL SITUATION
1. Create or make your own situation that maybe true to your everyday life or personal experience that describe
union, intersection, and difference of two sets, and complement of a set.
Answers
Answer:
do you have answer
Step-by-step explanation:
Is this a good freestyle poem
Do you have a recommendation
What would people say if I were gone?
What would they write on my tombstone?
In 10 years would they even remember me?
If I don't even like myself why would people like me?
I feel like I am carrying my problems up a mountain, people have tried and helped but after a while, they just walk away.
Someone asks me can you take some of mine, of course, why not.
I feel like I am letting myself be crushed by my own problems but I want to help everyone else.
I don't want anyone to feel like I do so I try to take their problems to.
I have taken to many I am finally falling.
I am falling off the mountain will anyone even try to stop me from falling or will they let me go.
Let me go. Let me go.
Sometimes I wish someone would save me because I have been trying to save myself for too long.
But others times I wnder do they really want to help me or do they just want me to take some of their pain?
Answers
Answer:
Yes that is actually a good free verse, it contains emotions, questions, ( rhetorical) it don't have a repletion, a word that repeats in each stanza, but yes it is very good i actually showed this to my teacher and she said it was good :)
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
Answers
Answer:The answers are
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer:
C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9
Step-by-step explanation:
answer number 1 or 2 or both please<3
Answers
Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
~ an aesthetics lover
Please answer this question... please
Select the graph that represents the equation y= 2/3x-3
Answers
3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.
Answers
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
1 pound of a certain candy cost $8, how many pounds can be purchased for $12?
Answers
Answer:
1.5 pounds
Step-by-step explanation:
1 pound costs $8, $1 buys 1/8 pound
$12 buys 12/8=3/2=1.5 pounds
Answer:
12-8= 4
Step-by-step explanation:
one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.
Which of the following is equal to the expression listed below?
24 + 18
A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)
Answers
Hope this helps :)
Answer:
B
Step-by-step explanation:
Its not (A) because the outcome is 24 x 18
Its not (C) because that would be (10)(9) which is the same as multiplication
Its not (D) because that would be (24)(18) which again is multiplication
We are looking for addition of 24 and 18 which is B
6 x 4= 24
6 x 3=18
24+18
Hope this helps (:
Help me plz plz plz
Answers
Answer:
root 1
Step-by-step explanation:
The value of root 1 to any power is equal to 1.
Answer:
AStep-by-step explanation:
10/10 = 1
Hope this helps! <3
Name The Angle Pair And Find The Missing Value.
Answers
Answer:
Angle 1 and angle 2
x=9
Step-by-step explanation:
The angle pair is complementary since it makes a right angle, so you could technically name it anything like angle 1 and angle 2. You make the equation 4x+8+5x+1=90. Then, you combine like terms and get 9x+9=90. Then, subtract the 9 from 90, 81. 9x=81. Then, divide the 9 from 81. X=9.
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?
Answers
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
Answer:
Zelei should have divided both numbers by 14
Step-by-step explanation:
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answers
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Scott makes $52 for 4 hours of work? How much does Scott make per hour?
Answers
Answer:
13
Step-by-step explanation:
52/4=13
$13.40
All I did was divide 52 by 4 to get the answer
Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakfast, a further half walking into town and another one-tenth walking round the supermarket. a What fraction of her steps were not taken yet? b That day the device recorded 12 000 steps. How many steps were not taken yet?
Answers
Answer:
6000 steps
Step-by-step explanation:
1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3
2/3=12000 steps
1/3=6000 steps
3/3=18000 steps
Her total steps should be 18000 and she has done 12000 steps.
18000-12000=6000 steps
6000 steps were not taken yet.
[tex]1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3[/tex]
[tex]2/3=12000 steps[/tex]
[tex]1/3=6000 steps[/tex]
[tex]3/3=18000 steps[/tex]
Her total steps should be 18000 and she has done 12000 steps.
[tex]18000-12000=6000 steps[/tex]
What is the most important thing when walking?Walking prevents heart disease, raises the heart rate, lowers blood pressure, and strengthens the heart. Postmenopausal women who walk 1-2 miles a day can lower their blood pressure by about 11 points in 24 weeks.
For example, regular and active walking helps maintain a healthy weight and reduce body fat. Prevents or treats a variety of conditions, including heart disease, stroke, high blood pressure, cancer, and type 2 diabetes. Improves cardiovascular health.
Learn more about walking here: https://brainly.com/question/1744272
#SPJ2
f(x) = -2x+3
find f(-3)
Answers
Answer:
3
Step-by-step explanation:
this is because 3 would be the answer
0=-2x+3
2x=3
Divide both sides
x=3/2
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
Answers
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
Please help quickly!
Answers
Answer:
A
Step-by-step explanation:
You are subtracting 2 from y every step.
2x − 6 = −6x + 2
work below hurry!!
Answers
Answer:
x=1
Step-by-step explanation:
2x-6=-6x+2
8x=8
x=1