is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answers
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
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Related Questions
x^3/x^1/6=x^a value of a in simplest form?
Answers
Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
Answers
Does (3, –8) make the equation y = –x + –5 true?
Answers
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
Can someone help me on this? I really need help badly.
Answers
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answers
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
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a car runs 20mph how much does it travel in 1 hour
Answers
Find the value of x in the triangle shown below.
Answers
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?
Answers
Yes, Kevin is correct
question in attachment
Answers
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answers
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
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-5/6+2/6=
What is the answer to this?
Answers
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2
13. Nine less than a number is no more than 8 and is no less than 3.
Answers
Step-by-step explanation:
I think we can choose the number 5 so
9 - 5 = 4 no more than 8 and less than 3
Answer:
[tex]&#x \in [12, 17][/tex]
Step-by-step explanation:
[tex]3 \leq x-9 \leq 8 \\ \\ \leq x-9 \\ 3+9 \leq x \\ \leq x[/tex]
[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\ \leq x \leq 17[/tex]
[tex]&#x \in [12, 17][/tex]
Which expressions are equivalent to 5x-15? Select three options
B,C,E
Answers
Answer:
5(x-3)
Step-by-step explanation:
5(x - 3)
= 5*x - 5*3
= 5x - 15
Answer:
yup this is correct b,c,e
Step-by-step explanation:
Somebody please help me thank
Answers
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answers
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
Are these rates equivalent?
25 minutes for 3$
1 hour for 6$
Answers
Answer:
no
Step-by-step explanation:
25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.
Answer:
no
Step-by-step explanation:
We can use ratios to see if they are equivalent
25 minutes 60 minutes
---------------- = -------------------
3 dollars 6 dollars
Using cross products
25*6 = 3 * 60
150 = 180
This is not true so they are not equivalent
1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?
Equation:
Answers
Answer:
$246
Step-by-step explanation:
30 + 18(12)=
30 + 216
246
Answer:
30+12*18=246
Step-by-step explanation:
İf the bill 18 dollars for month, it's equals 216 from 12*18.
And the start-fee is 30 dollars. Then 216+30=246
quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.
Answers
Answer:
C. 44 in.
Step-by-step explanation:
[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]
Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?
Answers
Answer: $14
Step-by-step explanation:
Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):
700 x (24/100) = $168 (a year)
To obtain the monthly charges, we have to divide the result by the number of months in a year (12):
168 /12 = $14
Feel free to ask for more if needed or if you did not understand something.
The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Answers
Answer: After 9 years, the ticket will be $13.79
Answer:
$13.79
Step-by-step explanation:
FV = PV(1+r/100)^9
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
I will give brainliest answer
Answers
Answer:
The answer would be 12.571428571 units or 12.57units.
What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles
Answers
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Answer: 1hr/35miles
Step-by-step explanation:
D= 90* AC=17 cm AD=10 cm CD=?cm
please in need help in this
Answers
Answer:
Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....
Answer:
CD=
[tex] \sqrt{189} [/tex]
Step-by-step explanation:
using phaythagorous theorem
CD^2+10^2=17^2
CD^2= 17^2-10^2
CD^2=289-100
CD^2=189
CD=
[tex] \sqrt{189} [/tex]
A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.
Answers
Answer:
α = 12°
L = 6.28 ft
[tex]A = 94.25 ft^2[/tex]
Step-by-step explanation:
The wheel contains 30 cars attached to it.
The wheel is in the shape of a circle and a circle has 360°.
Therefore, the angle between any two cars will be:
360 / 30 = 12°
The length of the arc between two cars is given as:
[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]
where α = central angle of sector
R = radius of circle
Given that the radius of the wheel is 30 feet, the length of the arc is:
[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]
The area of a sector is given by:
[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]
Therefore, the area of the sector between any two cars is:
[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]
The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gym
class, students warm up by jogging along the edges of the field. What is the total number
of feet they jog?
475 feet
950 feet
52.500 feet
105.000 feet
Answers
the total number of feet they jog is 950 feet.
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answers
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answers
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?
Answers
Answer:
Volume = length × width × height
length = 16
height = 5
V= 16 × w × 5
V = 80w
Hope this helps.
Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?
Answers
Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.
A quarter-turn anticlockwiseA quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.
How to find the direction?Suppose a circle where Nathan is facing West.
Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.
So, the direction in which he is facing is South.
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IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:
Answers
Answer: The answer is Yes.
Step-by-step explanation:
Can not represent as a function. since some output have more than one input
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually
No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.
Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.
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Complete question:
The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?
Homework Complete
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
