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Related Questions
Given two concentric circles (circles that have the same center point), with the inner circle having a radius of 1 r and the outer one having a radius of 2 r as shown, give a dilation that would map the inner circle onto the outer circle.
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Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
The dilation should be (x, y) ⇒ (2x, 2y)
What is transformation and dilation:Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.
Here,
The scale factor should be calculated by dividing the outer circle radius from the inner circle radius
[tex]= 2r\div 1r[/tex]
= 2
Therefore, The dilation should be (x, y) ⇒ (2x, 2y)
Learn more about radius here: https://brainly.com/question/5525937
find the length of the third side. If necessary,write in simplest radical form.
Answers
Answer:
4
Step-by-step explanation:
It’s a right triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]10^{2} +x^{2} =(2\sqrt{29} ) ^{2}[/tex]
100+x^2=4(29)
16=x^2
x=4
Write the expression 2 x 2 x 2 x 2 + 7 x 7 - 5 x 5 x 5 using exponents.
Use each base once.
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Answer:
2∧4+7∧2-5∧3
Step-by-step explanation:
81 - 25 x 5
56 x 5
280
4r + 10 = -26
What is the answer
Answers
Answer:
r = - 9
Step-by-step explanation:
Given
4r + 10 = - 26 ( subtract 10 from both sides )
4r = - 36 ( divide both sides by 4 )
r = - 9
After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.
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Answer:
1
X+.12*x=190.40
X(1+.12)=190.40
X=190.40/1.12=170
2a
X+x+25=100
2x=75
X=37.5%
Men=.375*270=101
2b
please help me stuck
Answers
Answer: 341.4
Step-by-step explanation:
yo does addiction "run in the family"? i really want to know because it does in mine and im kinda freakin out
Answers
Answer:
Indeed yes homie.
Step-by-step explanation:
Find the measure of angle A
Answers
Answer:
30
Step-by-step explanation:
(x + 37) + (x + 67) + 90 = 180 by the Triangle Angle Sum Theorem
(x + 37) + (x + 67) = 90
2x + 104 = 90
2x = -14
x = -7
(-7 + 37) = angle A
angle A = 30
Answer:
<a = 30
Step-by-step explanation:
x + 37 + x + 67 + 90 = 180
<A + <B + <C = 180
*take each angle, add them, and equal them to 180*
x + 37 + x + 67 + 90 = 180
*solve for x*
2x + 194 = 180
-194 -194
2x = -14
x = -7
<a = x + 37
<a = (-7) + 37
<a = 30
<b = x + 67
<b = (-7) + 67
<b = 60
<c = 90
What is the slope????
Answers
Answer:
1
Step-by-step explanation:
Rise/run
66.6666666667 as a mixed number in simplest form
Answers
Answer:
66 67/100
Step-by-step explanation:
Answer:
Mix Number form: 66 2/3
Simplest Form: 6.66
Hope this helps.
The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease from August to October?
Type your answer using the % key. Round to the nearest whole percentage if necessary.
Answers
Answer:
72% decrease I...guess?
120 members-60 members=50%
-70 should be approx=60%
-80 should be approx=70%
so 80 is around 70%, so I'd say 82 is 72%
I'm most likely wrong but i dunno maybe im right
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
((120 - 82) / 120) x 100 = 31.66 %
31.66% to the nearest whole percentage is 32%
HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm
Answers
Answer:
x= 44 cm
Step-by-step explanation:
[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]
which of the following is an arithmetic sequence
a. -2, -5, -8
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The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?
Answers
Answer:
5% increaseeee
A person invests 9000 dollars in a bank. The
bank pays 6.5% interest compounded daily.
To the nearest tenth of a year, how long
must the person leave the money in the bank
until it reaches 31100 dollars?
Answers
Answer:
19 years approx
Step-by-step explanation:
Given dta
P= $9000
r= 6.5%
A= $31100
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(31100/9000)/0.06.5
t= ln(3.45)/0.06.5
t= 1.23/ 0.065
t= 18.92
Hence the time is 19 years approx
expand and simplify
(y + 2) (y-2)
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= y(y-2) + 2(y-2)
= y^2 - 2y + 2y - 4
= y^2 + 0 - 4
= y^2 - 4
Find measure of angle TUV and provide explanation. 25 points and will mark brainliest
Answers
Answer:
72°
Step-by-step explanation:
∠TUV = (arc TSV - arc TV) / 2 = ((360-108)-108) / 2 = 144/2 = 72
The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?
Answers
The required function g(x) is given as g(x) = 3x².
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph, we have a graph of two functions,
f(x) = x² and there is a point (2, 12) located on the curve of function g(x)
we have to determine the function g(x).
Now,
Now, as g(x) is scaled function of f(x)
g(x) = k f(x) - - - - (1)
At x = 2
g(2) = 12
f(2) = 4
Put x = 2 in question 1,
g(2) = k(f(2))
12=k*4
k = 3
Substitute k in equation 1 we get,
g(x) = 3x²
Thus, the required function g(x) is given as g(x) = 3x².
Learn more about function here:
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#SPJ7
What features do all right trlangles have in common?
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Answer:
all right trigangles must have a 90 degress angle
Step-by-step explanation:
no
After 7 days, people saw the video.
Answers
Answer:
137,257
Step-by-step explanation:
Answer:
137,527
Step-by-step explanation:
Use the drop-down menus to complete each statement.
Table A represents a _______
function.
Table B represents a _______
function.
Table C represents a _______
function.
Answers
Answer:
a:cubic
b:quadratic
c:linear
Step-by-step explanation:
Tables A, B, and C represent cubic, quadratic, and linear functions respectively.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
In the question, 3 functions in tabulated form is given, we draw the function on the graph then we observe that,
Table A, shows the cubic function because the graph with an increase of x increase and decrease multiple times.
Table B, shows the quadratic function, is shows the curve as of the parabola.
Table C, shows the linear relationship, as it forms a line on the graph.
Thus, tables A, B, and C represent cubic, quadratic, and linear functions respectively.
Learn more about function here:
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I need help please I would be happy
Answers
7384(x)748 (8967-888)
Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)
======================================================
Explanation:
The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.
In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.
If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.
In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.
----------------------
Extra info:
Choice (1) describes a reflection over the line y = xChoice (2) is a reflection over the x axis.Choice (4) describes a translation of 2 units to the right and 5 units down.The transformations of reflections, translations, and rotations all are considered rigid transformations. This means that they keep the same size and shape. You can imagine the camera is moving around in some way and the shapes stay still (but give the illusion of movement). In other words, rigid transformations will keep the perimeter the same. Because of this, we can rule out choices (1), (2) and (4).Find the Area of the Figure. Do not type in the units.
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Math can anyone help me
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Answer:
C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]
Step-by-step explanation:
The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.
Hope it helps!
The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)
Answers
Answer: C
g(x) = 1/2 f (x)
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
HELP ASAP 3.) Andy's Karpet Kleaning charges a $23 consultation fee, plus $17 per hour to clean carpets. Stanley
Steemer charges a $37 consultation fee, plus $13 per hour. After how many hours will the total charge be the
same? What is the charge?
Answers
Answer:
After 3.5 hours and the charge is $82.50.
Step-by-step explanation:
Setting up the equations equal to each other will give a solution (x-value) that makes both sides equal (the same price) after the same amount of hours (x-value).
13x + 37 = 17x +23
x = 3.5
Then plug the hours into either side to get the equal price.
13(3.5) + 37 = $82.50
OR
17(3.5) + 23 = $82.50
ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.
Which expression shows the value of the car in x years.
y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power
y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power
y=45,000(1.07)^xy=45,000( 1.0 7^x)
y=45,000(1.7)^x
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3150(#of years) would give you the the amount if the cars worth in that time spand
look at the graph of a line and write its equation
Answers
Answer:
y=-2/3x-1
Step-by-step explanation:
You can fins the slope (or the m in y=mx+b) by counting how many units up/down and over it takes to get to another solid point and configuring it into a fraction rise/run. in this case you go down 2 units and over 3 units to get -2/3
to get the y-intercept (the b in y=mx+b) you look at where the lince intercepts the y-axis in this case it is at -1
A rectangular field measures 400yds x 600yds. Find the length of the diagonal of the field.
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Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
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9514 1404 393
Answer:
x = 20, or 125
Step-by-step explanation:
We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.
__
The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.
x° = 90° -70°
x = 20
__
If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...
x° = 180° -(180° -70°)/2 = 90° +70°/2
x = 125