The coordinates of both the pre-image and image of quadrilateral JKLM are listed in the table
below.
Which rule best represents this dilation?
A- (x, y) -> (4/11 x, 4/11 y)
B- (x,y) -> (3/22 x, 3/22 y)
C- (x, y) -> (11/4 x, 11/4 y)
D- (x, y) -> (22/3 x, 22/3 y )
Answers
Answer:
Option C.
Step-by-step explanation:
From the table attached,
Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)
J(-8, 2) → J'(-22, 5.5)
Since, rule for the dilation of a point is,
(x, y) → (kx, ky) [Here k = scale factor of dilation]
Therefore, kx = -22
k(-8) = -22
k = [tex]\frac{-22}{-8}[/tex]
k = 2.75
So the scale factor should be 2.75
From the given options,
Option A.
(x, y) → [tex]\frac{4}{11}(x, y)[/tex]
→ 0.36(x, y)
But value of k should be 0.36
Therefore, Incorrect option.
Option B.
(x, y) → [tex]\frac{3}{22}(x, y)[/tex]
→ 0.14(x, y)
k = 0.14
But the value of k should be 2.75
Incorrect option.
Option C.
(x, y) → [tex]\frac{11}{4}(x, y)[/tex]
→ 2.75(x, y)
k = 2.75
Therefore, this option is correct.
Option D.
(x, y) → [tex]\frac{22}{3}(x, y)[/tex]
→ 7.33(x, y)
k = 7.33
But the scale factor should be 7.33
Incorrect option.
Related Questions
-8 = 2y – 2
.........
Answers
Answer:
y = -3
Step-by-step explanation:
-8=2y-2
+2 +2
-6=2y
-6/2 2y/2
-3= y
136.25
In a different number, the 6 represents a value which is one-tenth of the value of the 6 in the number above.
What value is represented by the 6 in the other number?
six hundredths
six tenths
six ones
six tens
Answers
Answer:
six tens
Step-by-step explanation:
six tens
The value is six tens that represent by the 6 in the other number.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10, The tenth refers to tenth part of that digit which is that digit divided by 10
we are given that the 6 represents a value which is one-tenth of the value of the 6 in the number.
136.25
The number which is represented by the 6 in the other number would be;
six tens
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ2
Find the unit rate:150 people for 5 classes
Answers
Answer:
The unit rate would be 30 (meaning 30 per class, making the unit rate of each class 30)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
150 people for 5 classes is 150:5
divide both 150 and 5 by a common factor, 5
150/5:5/5 is 30:1
the unit rate is 30:1 which is 30
56/25 gal $41.05/20 gal
Answers
Answer:
56/25
Step-by-step explanation:
sksksjskskksdidid
Which set is a subset of every set?
A. {}
B. {0}
C. {1}
Answers
Answer:
I'd say the answer is C
Answer: Choice A. { }
This is the empty set with nothing inside it. Another way to write the empty set is to use the symbol [tex]\varnothing[/tex]
The set { 0 } is not the empty set because 0 is inside it, making it nonempty. A set like {1,2,3} does not contain 0, so there's no way {0} can be a subset.
Morgan is 23 years old. Her grandfather is 4 times as old. How old is her grandfather?
Answers
Answer:
92 years old
Step-by-step explanation:
Multiply 23 by 4
92
So Morgan's grandfather is 92 years old
Hope this helps :)
Please consider Brainliest :)
Answer:
92
Step-by-step explanation:
23x4=92
Which are rational numbers? (A) -9 (B) 5/8 (C) 0 (D) all of the above
Answers
Answer:
D. All of the above
Step-by-step explanation:
all numbers are considered rational numbers
Work out
6/12 - 2/4
Give your answer in its simplest form.
Answers
0
Explanation:
3. Beats wireless headphones are on sale for 97.50. If the price represents a 35% discount
from the original price, what is the original price?
a.
Answers
Answer:
Original price= $150
Step-by-step explanation:
Giving the following information:
Sales pirce= $97.5
Sales discount= 35% decrease
To calculate the original price, we need to use the following formula:
Original price= sales price / (1 - discount)
Original price= 97.5 / 0.65
Original price= $150
(9,14),(-15, 4)
What's the slope of the line through each pair of points
Answers
Answer:
0.41667 or 4/10
Step-by-step explanation:
what is an equation of the line that passes through the point (5,4) and is parallel to the line 6x-5y=15
Answers
Answer:
6x - 5y = 10
Step-by-step explanation:
I used desmos to figure it out there’s a way to figure it out on paper but it’s took long.
90% of 133 is equal to (0.9) ⋅ 133 true or false
Answers
Answer:
True.
Explanation:
It’s true because a percent is based on decimals. For example, 0.01 is 1%, while 0.1 is 10%. So that means that 0.9 is 90%. Remember, “of” means multiplying. So, 0.9 times 133 is equal to 90% of 133.
Answer:
Step-by-step explanation:
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
564
4⋅144
414
144
Answers
It may be 1^4 ............................
Maggie is flying a kite and lets out
200 feet of string which makes an
angle of 27° when she secures it to
the ground. Assuming the string is
straight, how high is the kite, to the
nearest tenth of a foot?
Answers
Answer:
5
Step-by-step explanation:
Easy
Find the sum or difference.
A recipe calls for 3/4 cup of applesauce . Jean has 1/8 cup. How much more does she need.
A. 1/2 cups
B. 5/8 cup
C. 1/4 cup
D. 3/8 cup
Answers
paid electricity bill for 100. wht is credit wht is debit.
Answers
Answer:
what you owe
Step-by-step explanation:
A) -3
B) -6
C) -9
D) -12
Answers
Answer:
X= - 6 the answer is B
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable
In what ways do you think a cracked hard-boiled egg might serve as a model for the spatial distribution of earthquake data and the three models of plate interactions?
Answers
Answer:
- the shell is related to the egg as its outer layer just the same way the lithosphere is related to the Earth as its solid outer layer also called tectonic plate;
- the yolk is related to the egg as the centre layer just the same way the core is related to the Earth as its centre layer.
- The egg white is related to the egg as the middle layer just the same way the mantle is the middle layer of the earth
Step-by-step explanation:
A conceptual model of the relative thicknesses of the Lithosphere can be presented by measuring a simple hard-boiled egg.
The hard-boiled egg serves as a scale model for the zones of the Earth.
Now, in comparison to the earth, let's note the following;
- the shell is related to the egg as its outer layer just the same way the lithosphere is related to the Earth as its solid outer layer also called tectonic plate;
- the yolk is related to the egg as the centre layer just the same way the core is related to the Earth as its centre layer.
- The egg white is related to the egg as the middle layer just the same way the mantle is the middle layer of the earth
These comparative similarities gives us the strong idea that the lithosphere
is considered as a thin shell.
I need the answer ASAP
Brainliest to the correct answer
Answers
CF = 20 mm (millimeters)
EG = 0.1 m (meters)
The last question only had one “m” so I’m assuming it’s meters
if m
PLEASE EXPLAIN NOT SURE
Answers
IF M WHAT???...???????
1 2/9+(-5 3/9) what is the solving to it?
Answers
Answer:
its [tex]-4 \frac{1}{9}[/tex]
Which equation is best represented by this graph?
Answers
the answer is hakuna matata jk the answer is D
HELP WILL GIVE BRANLIEST!!
Answers
Answer:
on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.
Now
On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)
But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2
In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together
So our required answer is
p(even number)× p(tails)= 1/2 × 1/2 = 1/4
Step-by-step explanation:
C. Look for Relationships How do the processes you used for parts A and B differ? How are they the same?
Answers
Step-by-step explanation:
Relationship is a ver beautiful friend one answer
When comparing a single sample to a population mean, a one sample t test must be used instead of a one sample z test when what value is unknown?
a. The sample mean
b. The population standard deviation
c. The desired alpha level
d. The sample standard deviation
e. The sample variance
Answers
Answer: b. The population standard deviation
Step-by-step explanation:
The one-sample z-test is a test that us carried out to ascertain whether the mean of a population is either greater or less than a specific value given.
The one sample t test is used in comparing the mean of the sample data of the researcher carrying out the research to a known value.
When the population standard deviation is known, the one sample z test is used while when the population standard deviation is not known, one can use the one sample t test.
during their Christmas party, teacher Beth gave her student a total of 319 candies she gave each one of them with 4 chocolate candies and 7 gummy bears. how many gummy bears did she give in total?
Answers
Answer:
203 gummies
Step-by-step explanation:
4x+7x=319
11x=319
Divide by 11
X=29
7×29=203 gummies
4x29=116
319 candies
CALCULATOR ACTIVE DIRECTIONS FOR THE CALCULATOR ACTIVE SECTION OF THE TEST: • Calculators may be used during this test. • Read each problem carefully. • Choose the best answer from the choices given. • Fractions in some answer choices may have been simplified. Check each answer choice to see if this has been done. Diagrams used in the test may not be drawn to scale. • At this time, you can check your answers for THIS SECTION ONLY.
Answers
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
If both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a?
A) hexagon
B) parallelogram
C) kite
D) trapezoid
Answers
Answer:
B (parallelogram)
Step-by-step explanation:
Hiiiiiiiiii
There are a total of 950 boxes of shoes at a store. • Half of the boxes contain athletic shoes. • Another 125 boxes contain dress shoes. • Of the remaining boxes of shoes, 4 out of 5 boxes contain sandals. Based on the expression below, how many boxes at the store contain sandals? 4(950 ÷ 2 − 125) ÷ 5
Answers
Answer: 355
Step-by-step explanation:
Hope this helps !
Sam wants to build a fence around her property. The length of
the her fence must be one feet greater than three times its
width and the area of her property is 30 square feet. What is
the maximum width that her fence can be to ensure she
doesn't encroach into her neighbor's property?
Answers
Answer:
3.33ft
Step-by-step explanation:
Area of the fence = Length * Width
A = LW
Given
Area A = 30ft²
If the length of the her fence must be one feet greater than three times its width, then;
L = 3W + 1
Substotute into the area formula
A = (3W+1)W
30 = 3W²+W
3W²+W - 30 = 0
(3W²+9W)-(10W - 30) =
3W(W+3)-10(W+3) = 0
3W-10 = 0 and W+3 = 0
3W = 10 and W = -3
W = 10/3 and -3
Width cannot be negative
Hence the maximum width that her fence can be to ensure she doesn't encroach into her neighbor's property is 3.33ft