What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?
Answers
Answer:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Step-by-step explanation:
Given
K(1,0)
L(1,4)
M(5,4)
N(5,0)
Scale Factor = 1/4
Dilation with center (0,0)
Required
New coordinates of the quadrilateral
To get the new coordinates, we simply multiply the scale factor with each coordinate;
This is done as follows;
[tex]If\ K =(1,0),\ then;[/tex]
[tex]K' = \frac{1}{4} * (1,0)[/tex]
[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]If\ L =(1,4),\ then[/tex]
[tex]L' = \frac{1}{4} * (1,4)[/tex]
[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]If\ M =(5,4),\ then[/tex]
[tex]M' = \frac{1}{4} * (5,4)[/tex]
[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]If\ N =(5,0),\ then[/tex]
[tex]N' = \frac{1}{4} * (5,0)[/tex]
[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Hence, the coordinates of the dilated figure are:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Related Questions
What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
w = –StartFraction 34 Over 13 EndFraction
w = –2
w = StartFraction 6 Over 13 EndFraction
w = 26
Answers
Answer:
W=2.615
Step-by-step explanation:
9w-36-7w=15w-2
2w-36=15w-2
15w-2w=-36+2
13w=34
w=34/13
W=2.615
Help please URGENT
50 POINTS!
Answers
Answer:
2y° + x° + y° + 2x° + (180-33)° = 360°
3x + 3y + 147 = 360
3(x+y) = 360 - 147
3(x+y) = 213
x+y = 71
2y + 2x + K = 180
2(x+y) + K = 180
2 *71 + K = 180
142 + K = 180
K = 38°
the last one
Answer a on edge
Step-by-step explanation:
if 8 people can pick the apples from the trees in 6 days, how long will it take 12 people
Answers
Answer:
4 days
Step-by-step explanation:
8 people can do the job in 6 days, job is this case is picking apples.
The amount of the job (apples) is same and the only variable is number of people which changes the time accordingly.1 person can do same job for 6*8= 48 days
12 people can do same for 48/12= 4 days
Brainliest for whoever gets this right
Please help ASAP!!!
Answers
Answer :
x = 2
y = -1
I hope it helps
8. Graph the function
Answers
Answer:
Last option is the correct choice.
Step-by-step explanation:
See the attachment below.
Best Regards!
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answers
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
What is the inequality of -3x-3<6
Answers
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answers
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Thomas got 12
30=3x+2x
30=5x
x=6
Alex: 3x=18
Thomas: 2x=12
Eleven plus forty-one is divided by a number. If the result is 13, what's the number?
Answers
Answer:
4
Step-by-step explanation:
Let the number be x.
(11+41)/x = 13
52/x = 13
13x = 52
x = 52/13
x = 4
The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Eleven plus forty-one is divided by a number, and the result is 13,
Assume the number is x,
Write the equation as shown below,
11 + 41 / x = 13
52 / x = 13
x = 52 / 13
x = 4
To know more about division:
https://brainly.com/question/27566440
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Simplify 6(3+4) -5(1+2) need answer
Answers
Answer:
27
Step-by-step explanation:
[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
6(3+4)-5(1+2)=
6(7)-5(3)=
42-15=
27
Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°
Answers
Answer:
Please mark me brainliest and I hope this helped!
w = 89°
Step-by-step explanation:
For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.
Answer:
89
Step-by-step explanation: I took the test
45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answers
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
Learn more about the unitary method;
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For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answers
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
can you please help me its too hard
Answers
Answer:
12
Step-by-step explanation:
The area of a rectangle is l × w.
x × 11/3 = 44
x = 44 × 3/11
x = 12
0.8 divided by 0.2 equals?
Answers
Answer:
4
Step-by-step explanation:
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answers
Answer:
I'm not sure, but I think it is (0, -6).
Square Root of 40,75,90,245,450,640,675 values to nearest hundredth show work.
Answers
Answer:
√40 ≈ 6.32
√75 ≈ 8.66
√90 ≈ 9.49
√245 ≈ 15.65
√450 ≈ 21.21
√640 ≈ 25.30
√675 ≈ 25.98
Step-by-step explanation:
You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Answers
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answers
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answers
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
learn more about Pythagoras's theorem here :
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What type of triangle center is shown as point H in the figure? ANSWERS: A) Orthocenter B) Circumcenter C) Incenter D) Centroid
Answers
Answer:
D) Centroid
Step-by-step explanation:
DB,AG and CE are medians of the triangle and when they intersect at one point, their point of concurrency is called centroid.
Answer: D (Centeriod)
Step-by-step explanation:
Because point H is in the center of the triangle, and the centeroid is located in the center of the triangle
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answers
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25
There are 5 positions open. 20 candidates applied. 14 are men, 6 are women. The
company decided to give 3 positions to men, 2 to women. How many outcomes are
possible?
Answers
Answer:
2307 ways
Step-by-step explanation:
Given
Candidates: 5
Men (Applicants): 14
Women (Applicants): 6
Job Positions: 5
Man = 3
Women = 2
Required:
Number of possible outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved by using Permutations/Selection formula
Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women
Let M represent Men and W represent Woman
Number of ways = M + W
Calculating M
[tex]M = nPr[/tex]
Substitute nPr with its formular
[tex]M = \frac{n!}{(n-r)!}[/tex]
Where n = 14 men and r = 3 applied
[tex]M = \frac{14!}{(14 - 3)!}[/tex]
[tex]M = \frac{14!}{11!}[/tex]
[tex]M = \frac{14*13*12*11!}{11!}[/tex]
[tex]M = 14*13*12[/tex]
[tex]M = 2184[/tex]
Calculating W
[tex]W = nPr[/tex]
Substitute nPr with its formula
[tex]W = \frac{n!}{(n-r)!}[/tex]
Where n = 6 men and r = 2 applied
[tex]W = \frac{6!}{(6-2)!}[/tex]
[tex]W = \frac{6!}{2!}[/tex]
[tex]W = \frac{6*5*4*3!}{2!}[/tex]
[tex]W = 6*5*4[/tex]
[tex]W = 120[/tex]
Recall that Number of ways = M + W
Number of Ways = 2184 + 123
Number of Ways = 2307
A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?
Answers
Answer:
1/3
Step-by-step explanation:
Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answers
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.
The amount of energy it takes to lift a box might be a function of which of
the following?
O A. The time of day that you are lifting ít
B. The weight of the objects inside the box
C. The shape of the box
Answers
Answer:
The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.
Step-by-step explanation:
The value of (-7) 2 is negative. True or false? Please help me!!!! :'(
Answers
Answer:false
Step-by-step explanation:
(-7)^2
(-7)*(-7)
49
49 is a positive number
Answer:
It is false
Step-by-step explanation:
It is false because if you have two groups of negatives, it is positive. (-7)^2 is the same as -7x-7. Two negatives equal a positive, so the answer should be 49. 49 is positive so it is false.
In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answers
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answers
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
A battalion of 880 people is made up of four companies. Each company is made up of five platoons. Each platoon contains four squads. If each company has the same number of people, as do each platoon and each squad, how many people are in each squad?
Answers
Answer:
11 people are in each squad.
Step-by-step explanation:
A battalion of 880 people is made up 4 companies.
880/4 = 220 people
which means 1 company is made up of 220 people.
Each company is made up of 5 platoons.
220/5 = 44
which means each platoon is made up of 44 people
Each platoon contains 4 squads
44/4=11
which means each squad contains 11 people.
therefore each squad contains 11 people.