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
Help asap
The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
x + y 200
14x + 10y > 200
14x + 10y < 200
Answers
Answer:
14x +10y < 200
Step-by-step explanation:
The inequality that represents the given condition is: 14x + 10 y < 200.
What is an inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
Given, the price per long sleeved t-shirt is $14.
The price per short sleeved t-shirt is $10.
The soccer team has sold less than $200 worth of both types of t-shirts.
Here, the number of long-sleeved t-shirts they have sold is 'x'.
The number of short-sleeved t-shirts they have sold is 'y'.
Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x
The total price of short sleeved t-shirt sold is = $10 × y = $10y
Therefore, the required inequality will be:
14x + 10 y < 200
Learn more about an inequality here: https://brainly.com/question/18342668
#SPJ2
What is the equation of the following graph
Answers
Answer:
y=1 is the equation! :))
Step-by-step explanation:
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11
Simplify (−3.5)(−3)(−6.4).
1. −672
2. −67.2
3. 67.2
4. 672
Answers
Answer:
2 -67.2
Step-by-step explanation:
-3.5 Times -3 = 10.5
10.5 Times -6.4 = -67.2
Answer:
2. -67.2
Step-by-step explanation:
(−3.5)×(−3)×(−6.4)=−67.2
I have done it before and I did the work.
7. Numericals
(a) A box has length 50 cm, breadth 20 cm and height 10 cm, then find
(i) its surface area of base;
(ii) its volume
(1000 cm², 100000 cm3)
Answers
Answer:
i = 1000cm2
ii = 100000cm3
Step-by-step explanation:
for q i
surface area of base = l* b
= 50* 20
1000cm^2
for q 2
volume l*b*h
= 50*20*10
= 100000cm^3
hope it will be helpfull
4[(10-4)2 ÷4]
A.9
B.6
C.12
D.36
Answers
Answer:
C.12
Step-by-step explanation:
Answer: C. The answer is 12. Hope this helps.
The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle
Answers
Answer:
yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh
Step-by-step explanation:
How do you describe sequences
Answers
HELPP PLZ (12 points btw)
Which of the following is most likely the next step in the series?
Answers
Divide n by 5 then add 6
Answers
Answer:
n+30/5
Step-by-step explanation:
Simplify n/5
n/5+6
Rewrite the whole as an equivalent fraction
2.1 Add an integer to a fraction
Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5
Equivalent fraction: the fraction thus generated looks different but has the same value as everything.
2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator
Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:
n+6×5/5=n+30/5
Suppose the equation of line t is y=x
Answers
Answer:
Hi
Step-by-step explanation:
which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?
Answers
Answer: -5/7
Step-by-step explanation:
-11/28 = -0.39
-5/7 = -0.71
9/-14 = -0.64
29/-42 = -0.69
Out of these, -5/7 is the greatest rational number, even if they are all negative.
Hope this helps!
Find x. Give reasons to justify your solution.
Answers
Answer:
x = 28
Step-by-step explanation:
Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.
3x + x + x + 12 = 152 (collect like terms)
5x + 12 = 152 (subtract 12 on each side)
5x = 140 (divide by 5 on each side)
x = 28
(PLUG IN)
3(28) + (28) + (28) + 12 = 152
84 + 28 + 28 + 12 = 152
152 = 152
Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
221 Miles
Step-by-step explanation:
Since there is a base fee, you substract that from the total.
210.43 - 15.95 = 194.48.
And since it was .88 per mile, you just divide 194.48 by .88 to get 221
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?
Answers
Answer: James is right
Step-by-step explanation:
Since they average $685 a day for the month. This means for the month, they'll make:
= $685 × 30
= $20,550
Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.
Solve the problem algebraiclly i
Answers
Answer:
x=-3.75
Step-by-step explanation:
17 = -13-8x
30=-8x
x=-3.75
Answer:
Step-by-step explanation:
17=-13-8x
Step 1: add 13 to both sides
30=-8x
Step 2: divide by -8
-3.75=x
(-9) - (-37) =
A -29
B -40
C 28
Answers
Answer:c: 28
Step-by-step explanation:
Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?
Answers
Answer:
The two singers will charge the same amount for money at 3.53 hours
Step-by-step explanation:
Let the number of hours be represented by y
Ida needs to hire a singer for her wedding.
Singer A is offering his services for an initial $80 in addition to $13.35 per hour.
= $80 + $13.35(y)
= 80 + 13.35y
Singer B is offering her services for an initial $86 in addition to 11.65 per hour.
= $86 + $11.65 × y
= 86+ 11.65y
When will the two singers charge the same amount for money?
Singer A = Singer B
80 + 13.35y = 86+ 11.65y
Collect like terms
= 13.35y - 11.65y = 86 - 80
1.7y = 6
y = 6/1.7
y = 3.5294117647 hours
Approximately = 3.53 hours
The two singers will charge the same amount for money at 3.53 hours
Which of the following equations does not represent the sinusoidal function graphed below?
y = -2sin2x
y = 2sin2x + pi/2
y = 2sin2(x +pi/2 )
y = 2sin(2x + π)
Answers
Answer:
y = 2sin2 x + pie/ 2
Step-by-step explanation:
Answer: y= 2sin2(x +pi/2 )
Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7
Answers
Answer:
B i think
Step-by-step explanation:
The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.
x3y2-1/4x please solve it fast
Answers
Answer:
(x,y) = (0, 1/3)
Step-by-step explanation:
[1] 2x + 3y = 1
[2] 4x - 6y = -2
Graphic Representation of the Equations :
3y + 2x = 1 -6y + 4x = -2
Solve by Substitution :
Solve equation [2] for the variable x
[2] 4x = 6y - 2
[2] x = 3y/2 - 1/2
Plug this in for variable x in equation [1]
[1] 2•(3y/2-1/2) + 3y = 1
[1] 6y = 2
Solve equation [1] for the variable y
[1] 6y = 2
[1] y = 1/3
By now we know this much :
x = 3y/2-1/2
y = 1/3
Use the y value to solve for x
x = (3/2)(1/3)-1/2 = 0
There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?
Answers
Answer:
10
Step-by-step explanation:
because 6+10=16. I feel so bad for all of the flowers.
Evaluate each using the values given.
x-5-|xz|; use x = 8, and z=-10
A) -67 B) -80
C) -75 D) -77
Answers
x - 5 - |xz|
8 - 5 - |(8)(-10)|
3 - |-80|
3 - 80
-77
Nadia charges $5.50 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.
Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answers
Answer:
about 34 hours
Step-by-step explanation:
Answer:
35 hours.
Step-by-step explanation:
To achieve an answer to this question, we'll have to set two expressions equal to each other.
Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:
[tex]21+17.5[/tex]
[tex]=38.5[/tex]
Let [tex]h[/tex] equal hours.
Set up your first expression:
[tex]5.50h[/tex]
Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:
[tex]5.50(38.5)[/tex]
[tex]=211.75[/tex]
We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:
[tex]5.50+0.55[/tex]
[tex]=6.05[/tex]
Set up your second expression:
[tex]6.05h[/tex]
Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:
[tex]211.75=6.05h[/tex]
Divide both sides of the equation by the coefficient of [tex]h[/tex], which is [tex]6.05[/tex]:
[tex]35=h[/tex]
Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.
_
Check your work by substituting 35 for [tex]h[/tex] in the equation below:
[tex]211.75=6.05h[/tex]
[tex]211.75=6.05(35)[/tex]
[tex]211.75=211.75[/tex]
Since both sides of the equation are equal to each other, our answer is correct!
Find the product.
-10 X (-3) X9 =
Answers
Answer:
270
Step-by-step explanation:
[tex] - 10 \times ( - 3) \times 9[/tex]
[tex]30 \times 9[/tex]
[tex]270[/tex]
Answer:
The answer is Answer = 270x
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answers
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
Please help!! not sure if this is right :(
Answers
Answer:
Your answer is correct.
Step-by-step explanation:
Use the Distributive Property to simplify 17(2b + 3)
Answers
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answers
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?
Answers
Answer:
59.8
Step-by-step explanation:
20÷100×299
0.2×299
59.8