50 POINTS!! ANSWER CORRECTLY PLEASE!
Consider the dilation:
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
Answers
Reduction
Why ?
See co-ordinates decreased back in dilated figure .#b
M=(-3,3)M'=(-2,2)S=(6,3)S'=(4,2)V=(3,-3)V'=(2,-2)Scale factor:-
[tex]\\ \rm\rightarrowtail \dfrac{-2}{-3}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{2}{3}=\dfrac{2}{3}=\dfrac{2}{3}[/tex]
Scale factor=K=2/3Answer:
The original figure is MSV and the dilated figure is M'S'V'
Therefore, the dilation is a reduction of the original figure since the side lengths have reduced in length.
To determine the scale factor, choose one of the sides and compare the length before and after the dilation → let's use MS:
length of MS = 9 units
length of M'S' = 6 units
⇒ scale factor = length after dilation ÷ length before dilation
= 6 ÷ 9
= 2/3
To find the center of dilation, draw a line through each point and its corresponding dilated point. The point at which the 3 lines meet is the center of dilation.
Therefore, the center of dilation for this question is the origin (0, 0)
Related Questions
(x + y)2 = 64 et x y = 15, alors x2 + y2
Answers
Answer:
[tex]x^2+y^2=34[/tex]
Step-by-step explanation:
Expand [tex](x+y)^2[/tex].
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex]x^2+2xy+y^2=64[/tex]
Substitute 15 for xy.
[tex]x^2+2(15)+y^2=64\\\\x^2+30+y^2=64\\\\x^2+y^2=34[/tex]
∠A and ∠B are complementary. The measure of ∠A is 32°. What is the measure of ∠B? Enter your answer in the box. °
Answers
Answer:
∠B = 58°
Step-by-step explanation:
∠A and ∠B are complementary.
-> ∠A + ∠B = 90°
-> 32° + ∠B = 90°
-> ∠B = 90° - 32°
-> ∠B = 58°
Answer:
<B = 58
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
If A and B are angle when added will form 90°, to find B we follow the following steps
A + B = 90
if A = 32°,
32 + B = 90
collect like terms
B = 90 - 32
B = 58
that means
32 + 58 = 90
B = 58
Do mark Brainliest
Davion Hunt Freeman
A literary agent makes $30,000 a year plus 13% commission on the sales of her clients' books to publishers. The agent sold 4 books for $175,000 each for her
clients this year.
Find her total earnings.
Answers
Answer:
She made $121000.
Step-by-step explanation:
The money the agent sold was:
4*175000=700000 (dollars)
but she only gets 13% of this, so she earned:
700000*0.13=91000 (dollars)
She also makes $30000 per year, so the total income she earned was:
91000+30000=121000
Which option shows cos Ø?
Answers
sohcahtoa
cah
adjacent over hypotenuse
5/29
The mean in
2, 2, 3, 5, 7, 7, 9, 10?
Answers
Answer:
5.6
Step-by-step explanation:
add them together and divide by 8 because there are 8 numbers
Have a nice day :)
Answer:
5.625
Step-by-step explanation:
u hv to add it all up and count the amount of numbers then divide
Jane made $108 for 9 hours of work.At the same rate, how many hours would she have to work to make $216?
pls help
Answers
Answer:
18 hours
Step-by-step explanation:
$108 = 9 hours
$216 = x hours
we want to get to $216 from the original equation. one thing we can do to get there is to figure out what we need to multiply 108 by to get 216. to figure this out, we can calculate 216/108 = 2.
therefore, we can multiply both sides of the original equation by 2 to get
$216 = 9 * 2 hours = 18 hours as our answer
Graph the system of equations.
f(x)=x^2−5x+7
g(x)=2x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
The x-coordinate of a solution to the system of equations is 1.
The y-coordinate of a solution to the system of equations is 3.
The x-coordinate of a solution to the system of equation is 3.
An ordered pair that is a solution to the system of equations lies on the y-axis.
An ordered pair that is a solution to the system of equations lies in Quadrant III.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
Answers
We need to graph them first
Both attachedSolutions are
(1,3)(6,13)So
Option A,B,F are correct
For Future Refernce-
The Answers
The x-coordinate of a solution to the system of equations is 1.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
The y-coordinate of a solution to the system of equations is 3.
(source- k-12 Algebra 1 Checkpoint.)
A group of students collected old newspapers for a recycling project. The date shows the mass, in kilograms, of old newspapers collected by each student. What percent of students collected between 49 kilograms and 98 kilograms of newspapers?
Answers
The percentage of students who collected more than 49kg and less than 98kg of old newspapers is 54.54%
How to calculate the percentage of students who collected more than 49kg and less than 98kg?
To calculate the percentage of students who collected between 49kg and 98kg of old newspapers we must perform the following operations:
We must count how many students are in the range of 49kg to 98kg of old newspapers: 12 students out of 22 students.
100 ÷ 22 = 4.54%4.54 × 12 = 54.54%So, those 12 students are equivalent to 54.54% of students.
Learn more about percentages in: https://brainly.com/question/1691136
1. The product of 3 and a number increased by six is 24.
Answers
Answer:
Y= -14
Step-by-step explanation:
3 X ( y + 6 ) = - 24
y + 6 = - 8
y = - 14
Answer:
Equation: 3x + 6 = 24Solved: x = 6Step-by-step explanation:
Let x be the number
Write it out: 3x + 6 = 24Subtract 6 from each side, so it now looks like this: 3x = 18Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 6I hope this helps!
what does the called 0.22
Answers
multiplicative inverse of 3.5
Answers
Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget. Monthly Budget Previous Budget Current Budget Income Wages $800 $2400 Expenses Rent Utilities Groceries Savings Bus Pass $300 $60 $200 $100 $30 $300 $60 $250 $150 $30 Net Income $110 $1610 a. Alexa is earning quite a bit more money and her expenses reflect the change in income. B. Alexa is earning quite a bit more money than she was previously. She has worked hard and deserves to spend a lot of money on herself. C. Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account. D. Her increased income should have no effect on her financial decisions. Please select the best answer from the choices provided A B C D.
Answers
From the table it is obvious that Alexa is earning quite a bit more money than she was previously.
What is a budget?The term budget refers to an organized plan for income and expenditure. Budget usually helps a person to prioritize certain issues over others when making purchases.
We can see from the question that Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
Learn more about budget: https://brainly.com/question/15712390
Answer: C
Step-by-step explanation: I just took the test
Pls help me with this questions
Answers
Answer:
20 < x < 40
Step-by-step explanation:
16 < x - 4 < 36 ( add 4 to each interval )
20 < x < 40
The vertex form of the function is Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x – 3 y = (x + 2 + RETRY y = x2 + 8x + 8-3-8 y = x2 + 8x + 8 – 3+ 8 ✓ y = x2 + 8x + 16 - 3-16 X y = x2 + 8x + 16 - 3 + 16 COMPLETE
Answers
Answer:
vertex form is y=(x+4)^2-19
Step-by-step explanation:
Answer:
(4,-19)
Step-by-step explanation:
To go to the dog beach, it costs $3 plus $2 per dog l. Which equation shows this situation, where x represents the number of dogs?
Answers
Answer:
the equation would look like x = 2x + 3
Step-by-step explanation:
Answer:
y=2x=3
Step-by-step explanation:
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%
Answers
The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.
If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.
For the events "shower gel" and "scented" to be independent.
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A) × P(B)
We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have
P(shower | scented) = P(shower gel) = 42%
This must be true for the events to be independent.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
The answer is
C - P(shower gel | scented) = 42%
Step-by-step explanation:
Hope this helped!
Please help me and show how you got the answer
Simplify this expression 7a^2 - 7b^2
Answers
Answer:
7(a+b)(a-b)
Step-by-step explanation:
7a² - 7b²
= 7(a²-b²)
= 7 (a² + b²) (a² - b²)
-2(1-8r)=-82
Can you give me the answer please
Answers
Answer:
[tex]r = - 5[/tex]
Step-by-step explanation:
[tex] - 2(1 - 8r) = - 82 \\ - 2 + 16r = - 82 \\ 16r = - 80 \\ \frac{16r}{16} = \frac{ - 80}{16} \\ r = - 5[/tex]
What is the area of a sector with a central angle of π3 radians and a radius of 12. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
Answers
The sector is a part of the circle. Then the area of the sector will be 161 square centimeters.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/3 radians and a radius of 12.4 m.
Then the area of the sector will be given as
[tex]\rm Area\ of\ sector = \dfrac{\theta}{2\pi} \ \pi r^2\\\\\\Area\ of\ sector = \dfrac{\pi / 3}{\pi } *\pi * 12.4^2 \\\\\\Area\ of\ sector = 161.01 \approx 161[/tex]
The area of the sector is 161 square m.
More about the circle link is given below.
https://brainly.com/question/11833983
Select the correct answer.
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A'B'C'D'. If the coordinates of vertex A
are (-7,3), what are the coordinates of vertex A?
OA (7,3)
OB. (-7, -3)
Oc. (7.-3)
OD. (-7,3)
OE. (3.7)
Answers
Answer: The answer would be (7,-3)
Step-by-step explanation: You can always graph it on graph paper
What is the measure of DA? (in a parallelogram)
Answers
Answer:
DA = 24
Step-by-step explanation:
the opposite sides of a parallelogram are congruent , then
CD = BA , that is
5x - 18 = 2x + 12 ( subtract 2x from both sides )
3x - 18 = 12 ( add 18 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
CB = 3x - 6 = 3(10) - 6 = 30 - 6 = 24
so
DA = CB = 24
________ sampling is the sampling method that is not based on chance or randomness but based on an inherently biased selection process.
Answers
Non-probability sampling is the sampling method that is not based on chance or randomness but based on an inherently biased selection process.
What is Non-probability sampling?Non-probability sampling is known to be a type of sampling method where the researcher often selects samples using subjective judgment instead of random selection.
This type of sampling do not make use of randomness and as such it is known to a less stringent method of sampling. IT is one that is based on the expertise of the researchers.
Learn more about sampling method from
https://brainly.com/question/16587013
Which set of numbers does NOT describe the side lengths of a right
triangle?
F 7, 24, 25
G 9, 40, 41
H 12, 35, 37
J 15, 18, 23
Answers
Answer: J
Step-by-step explanation:
Just substitute each of the sets into the Pythagorean Theorem - only J doesn't work.
Solve the system using elimination.
X + 7y = 25
2x - 7y = -13
Answers
Answer:
Step-by-step explanation:
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
Answers
35 cars / 5 (ratio of cars) = 7
7 x 4 (ratio of trucks) = 28 total trucks
total cars and trucks = 28 + 35 = 63
Answer:
28 trucks when there are 35 cars
28:35
I dont get how to dont get how to do this, teacher went way to fast
Answers
Slope means m
1. AB = Slope is 3/4, CD = Slope is 0
2. AB = Slope is 2/5, CD = Slope is -5/2
Rise / Run
1. ) A (( -2 (x1) , 3 (y1) )), B (( 2 ( x2) , 6 (y2))
m = y2 - y1 / x2 - x1
m = 6 - 3 / 2 - (-2) = 3/4 (AB)
C (( -1 (x1) , 0 (y1)) , D (( 3 (x2) , 3 (y2))
m = 3 - 0 / 3 - (-1) = 0 / 4 = 0 (CD)
2. ) A (( 0 ( x1) , 2 ( y1 )) , B (( 5 ( x2 ) , ( 4 ( y2))
m = 4 - 2 / 5 - 0 = 2/5 (AB)
m = 3 - 8 / 3 - 1 = -5/2 (CD)
C (( 1 (x1) , 8 (y1)) , D (( 3 (x2) , 3 (y2))
Hope this helps.
What single percentage change is equivalent to a 12% increase followed by a 14% decrease?
Answers
Answer:
3.68% decrease
Step-by-step explanation:
12% increase = 112% of the original value
112% as a decimal = 112/100 = 1.12
14% decrease = 100% - 14% = 86% of the original value
86% as a decimal = 86/100 = 0.86
Therefore, if you increase the number n by 12% and then decrease by 14%:
n × 1.12 × 0.86 = n × 0.9632
0.9632 as a percentage = 0.9632 × 100 = 96.32%
Therefore, the overall percentage change is 100% - 96.32% = 3.68% decrease
In the three-cell model of the general circulation, areas of surface low pressure should be found at _______________.
a) the equator and 60o latitude
b) 30o latitude and 60o latitude
c) 30o latitude and the poles
d) the equator and 30o latitude
e) the equator and the poles
Answers
In the three-cell model of the general circulation, areas of surface low pressure should be found at the equator and 60° latitude.
What is Surface Low Pressure?
In any environment, geographically speaking, the place with the lowest relative pressure is called the surface low-pressure center.
Surface low-pressure centers are created when the atmospheric circulation of air (vertically) reduces a minuscule amount of atmosphere from a geographical region.
Learn more about Surface Low Pressure at:
https://brainly.com/question/894489
ASAP 50 POINTS
Select the correct answer.
Which function has a restricted domain?
Answers
Answer:
Therefore, option B is correct.
[tex]\large\boxed{\sf y=\left(3x\right)^{\frac{1}{5}}-4}[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\left(-x+3\right)^{\frac{1}{2}}}[/tex] Has a domain x < 3
[tex]\large\boxed{\sf y=-\left(x+8\right)^3 }[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\:\left(4x\right)^2-5}[/tex] Has infinity domain
Answer:
2nd one
Step-by-step explanation:
Here if we simplify
[tex]\\ \rm\Rrightarrow (-x+3)^{1/2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{-x+3}[/tex]
So
-x+3>=0-x>=-3x<=3So domain is restricted
Option B
in archery competition,Lisa hit 2 more than jenny.althogether they hit 82 . how many did Jenny hit ?
Answers
Answer:
40
Step-by-step explanation:
let L be lisa's hit and J be jenny's
given that
L+J = 82 and
L = J+2
equate the two together
J+2+J=82
2J = 82-2
J= 80/2
J=40