Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?

Answers

Answer 1

Final answer:

The scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Explanation:

To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.

Circle Y:
Center: (2,3)
Radius: 4

Circle Z:
Center: (2,-3)
Radius: 10

The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.

Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.


Related Questions

Which number is irrational

Answers

For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction [tex]\frac {a} {b}[/tex], where a and b are integers and b is nonzero.

Some examples are:

[tex]\sqrt {2}, \sqrt {3}, e, \pi.[/tex]

So, that the answer is [tex]\pi.[/tex]

Answer:

Option C

What is the sum of the infinite geometric series represented by?
A. 600
B. 360
C. 480
D. 720

Answers

Answer:

B. 360 hope it helps

faze up

how do you find the measure of each angle of m<8=115

Answers

You would do 180 - 115 and that gives you the < for 7

Answer:

1. 65 deg

2. 115 deg

3. 115 deg

Step-by-step explanation:

1.

Angles 7 and 8 are supplementary. Their measures add to 180 deg.

m<7 + m<8 = 180

m<7 + 115 = 180

m<7 = 180 - 115

m<7 = 65

2.

Since lines p and q are parallel lines cut by a transversal, corresponding angles 6 and 8 are congruent.

m<6 = m<8

m<6 = 115

3.

Angles 1 and 6 are vertical angles, so they are congruent.

m<1 = m<6

m<1 = 115

select the true statement about triangle ABC​

Answers

Answer:

The answer is C.

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

From the given triangle ABC, CA=13 units, BA=12 units and BC=5 units.

What are heights and distances?

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Here,

sin A= Opposite/Hypotenuse

BC/CA=5/13

cos C= Adjacent/Hypotenuse

BC/CA=5/13

So, sin A=cos C

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

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The following graph plots the batting averages of 29 players of a baseball team against the weekly time (in hours) they spend in batting practice.



Which statement is a reasonable conclusion that may be drawn from the graph?

Practice and batting average have no direct relationship.
The best batter has an average of 0.33.
Batting practice increases batting averages.
The worst batter has an average of 0.

Answers

Answer:

Batting practice increases batting averages.

Step-by-step explanation:

By looking at the graph, we clearly see a trend, almost a straight line (if you regroup the points a bit) going up.

So, it's clear that batting practice increases batting averages; they're directly related.  The more a player practices at bat, the better will be his average.

Answers B and D (best and worst batters) are not proved at all by the graph, since there's data higher than those two cases.

Find u*v, if u=13j and v=i+3j

Answers

Answer:

u * v = 39 ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- u and v are two vectors

- u * v means the scalar product of the two vectors

- The scalar product is a way of multiplying vectors

- The result of a scalar product is always a number not a vector

- Ex: If u = ai + bj ⇒ <a , b> and v = ci + dj ⇒ <c , d>  then the scalar

 product of them is ac + bd where ac + bd is a number

* Lets solve the problem

∵ Vector u = 13j ⇒ <0 , 13>

∵ Vector v = i + 3j ⇒ <1 , 3>

- Lets find the scalar product

∴ u * v = (0)(1) + (13)(3)

∴ u * v = 0 + 39

u * v = 39

Divide. (11x^2+2x^3+14+17x) / (2x+5)

Answers

(11x2 + 2x3 + 14 +17x) ÷ (2x + 5)

= (2x^3 + 11x^2 + 17x + 14) ÷ (2x + 5)

= x^2 + 3x + 1 r 9

Answer:

2.2x^2+.4x^2+2.8+3.4x

Step-by-step explanation:

We can factor out a few numbers right off the bat-

(11x^2+2x^3+14+17x) / (2x+5)

(11x^2+2x^2+14+17x) / (5)

Now make the denominator disappear.

(11x^2+2x^2+14+17x) / (5)

2.2x^2+.4x^2+2.8+3.4x

(please contact if wrong)

another one :) thank you ahead of time!!

Answers

[tex]x = 0.4828282[/tex]

[tex]1000x = 482.828282[/tex]

[tex]999x = 482.346[/tex]

[tex]x = \frac{482}{999} + \frac{362}{1000} [/tex]

[tex]x = \frac{843638}{999000} [/tex]

Answer:

[tex]\dfrac{239}{495}[/tex]

Step-by-step explanation:

[tex]\text {Let x = } 0.4 \overline {82}[/tex]

[tex]1000x = 482. \overline {82}[/tex]

[tex]10x = 4. \overline {82}[/tex]

[tex]1000x - 10x = 482. \overline {82} - 4. \overline {82}[/tex]

[tex]990x = 478[/tex]

[tex]x = \dfrac{478}{990}[/tex]

[tex]x = \dfrac{239}{495}[/tex]

what is the perimeter of the rectangle in the coordinate plane
44 units
42 units
30 units
15 units
K12
PLEASE HELP ASAP

Answers

Perimeter is when you add the sides. The top is 4 and so is the bottom. = 8

One side is 11 and so is the other = 22

8+22= 30

Answer:

C.) 30 units

Step-by-step explanation:

top and bottom sides are 4, left and right sides are 11, add

4+4 = 8

11+11=22

22+8=30

(sorry My other answer was wrong, I calculated Area, not Premeter.

If g(x) = 3(x − 2), find the value of x if g(x) = 6.

Answers

Answer:

x=4

Step-by-step explanation:

From the statement we know that g(x)=3(x-2) and g(x)=6. Then we know that:

6=3(x-2)

Solving for "x":

6=3x-6

12=3x

x=12/3

x=4

Then, the solution is x=4.

For this case we have a function of the form [tex]y = g (x)[/tex]

Where:

[tex]g (x) = 3 (x-2)[/tex]

We want to find the value of "x" if the function is 6, that is, if y = 6

So, we have:

[tex]3 (x-2) = 6\\3x-6 = 6[/tex]

We clear "x":

[tex]3x = 6 + 6\\3x = 12\\x = \frac {12} {3}\\x = 4[/tex]

So, if the function has a value of 6, then [tex]x = 4[/tex]

ANswer:

[tex]x = 4[/tex]

How do I answer this?​

Answers

Check the picture below.

What is the opposite of square root

Answers

the opposite is squared so,

square root of 4 is 2 and 2 squared is 4

The opposite of a square root √ is the squared exponent ²

If you have a number and find the square root of it, you can take the answer and square it to get the original number. Cool, huh?

If a boy threw 8 books in to a pond and originally had 147 books how many books does he now have?

Answers

Answer:

139

Step-by-step explanation:

He originally had 147 books and threw 8 into a pond.

147-8=139

If (x, 1/100) lies on the graph of y = 10x, then x =

Answers

The value of x in the coordinate is 1/1000

Using the coordinates of the point given:

(x , 1/100)

Equation of the graph:

y = 10x

To find the value of x for the coordinate given; substitute into the equation:

1/100 = 10x

1/100 × 100 = 100 * 10x

1 = 1000x

x = 1/1000

Hence, x = 1/1000

You made 1/2 quart of lemonade.How many 1/4 quart-sized glasses will you be able to fill with lemonade

Answers

Well answer is 2 cause 1/4+1/4 is 1/2

what is the area of this triangle h = 5 in. b = 10 in.

Answers

The area of a triangle is 1/2 base times height so, the answer is 25

The area of the triangle is 25 square inches.

What is a triangle?

A 2-dimensional geometric figure bounded by three sides and has 3 corners and hence has 3 angles is called a triangle. In a triangle sum of all 3 angles is equal to 180°.

How to find the area of the triangle?Area of triangle can be found by the formula,  base x height/2

In the given problem,

base = 10 in.height = 5 in.

Area of triangle = ( 10 x 5 /2) square inches = 25 square inches

So, the area of the triangle is 25 square inches.

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Classwork 12.1 surface area

Answers

Answer:

6) LA = 90 units² and SA = 202 units²

7) LA = 377 units² and SA = 477.5 units²

8) LA = 208 units² and SA = 232 units²

9) LA = 455 units² and SA = 591 units²

Step-by-step explanation:

* Lets revise the rules of lateral area and surface area

- Lateral area of the solid = perimeter of its base × its height

- Surface area = lateral area + 2 × area of its base

* Now lets solve the problems

6) The solid is a rectangular prism

- Its base is a rectangle with dimensions 8 units and 7 units

- Its height is 3 units

∵ Perimeter of the rectangle = 2(L + W)

∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units

∴ LA = 30 × 3 = 90 units²

∵ Area of the rectangle = L × W

∴ Area of the base = 8 × 7 = 56 units²

∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²

7) The solid is a cylinder

- Its base is a circle with diameter 8 units

∴ Its radius = 8 ÷ 2 = 4 units

- Its height is 15 units

∵ The perimeter of the circle is 2πr

∴ The perimeter of the base = 2π(4) = 8π

∴ LA = 8π(15) = 120π = 376.99 ≅ 377 units²

∵ The area of the circle = πr²

∴ The area of the base = π(4)² = 16π

∴ SA = 120π + 2 × 16π = 120π + 32π = 152π = 477.5 units²

6) The solid is a triangular prism

- Its base is a triangle with sides 5 , 5 , 6 units and height 4 units

- Its height is 13 units

∵ Perimeter of the triangle is the sum of the 3 sides

∴ Perimeter of the base = 5 + 5 + 6 = 16 units

∴ LA = 16 × 13 = 208 units²

∵ Area of the triangle = 1/2 × base × height

∴ Area of the base = 1/2 × 6 × 4 = 12 units²

∴ SA = 208 + 2 × 12 = 208 + 24 = 232 units²

9) The solid is a prism

- Its base is an isosceles trapezium with parallel bases 7 units and 10

 units, 2 non-parallel bases 9 units and height 8 units

- Its height is 13 units

∵ Perimeter of the trapezium is the sum of its sides

∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units

∴ LA = 35 × 13 = 455 units²

∵ Area of the trapezium = 1/2(b1 + b2) × h

∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²

∴ SA = 455 + 2 × 68 = 455 + 136 = 591 units²

Choose the equation that models the following problem.

When the side of a square is doubled, its area is increased to 28 cm^2.

Answers

Answer:

[tex](2x)^2=28[/tex]

Step-by-step explanation:

The equation for the area of a square is [tex](x)^2=A[/tex]

In this case, the value within the parenthesis are the lengths of each side.

As you are doubling the length of the side and know the area, the equation can be written as follows

[tex](2x)^2=28[/tex]

Solve for x. (x - 5)(x - 5) = 0

Answers

Answer:

x=5

Step-by-step explanation:

(x - 5)(x - 5) = 0

x-5=0

x=5

If the divisor is eight tenths and the dividend is forty eight hundredths what is the quotient?​

Answers

Answer:

3737

Step-by-step explanation:

njrdndjfjdjdjjekekekekekekekewkekke

[tex]\bf \stackrel{dividend}{\cfrac{48}{100}}\div \stackrel{divisor}{\cfrac{8}{10}}\implies \cfrac{48}{100}\cdot \cfrac{10}{8}\implies \cfrac{10}{100}\cdot \cfrac{48}{8}\implies \cfrac{1}{10}\cdot \cfrac{6}{1}\implies \cfrac{6}{10}\implies \cfrac{3}{5}[/tex]

Which of the following types of lines will never intersect one another?
parallel lines
perpendicular lines
transversal lines
intersecting lines

Answers

Parallel Lines, they always stay perfectly in line.

Answer:

parallel lines

Step-by-step explanation:

lines that never cross one another and are the same distance apart at all times

What's 30 inches decreased by 30%​

Answers

Answer:

21

Step-by-step explanation:

First, we would find 30% of 30, which would be 9. Then we would subtract 9 from 30 because we are decreasing it by 30%. That means the answer is 30-9, which is 21.

State the plot overview of the movie Inside out. Please help ASAP.

Answers

Inside Out is a film about an 11 year old girl named Riley who moves across the country from Minnesota to San Francisco with her parents. Riley experiences a transformation in her mind and in who she is as a person as she tries to adjust to her new life in San Francisco and to the difficult process of growing up. The viewer follows Riley’s five emotions, Joy, Sadness, Anger, Fear, and Disgust, on a journey in her mind to help her through her transition to adolescence, and to assist her in making what they think are the right decisions. 

Final answer:

Inside Out is an animated movie detailing the emotional journey of an 11-year-old girl named Riley who moves to San Francisco. The film personifies Riley's core emotions: Joy, Sadness, Anger, Fear, and Disgust, outlining how they shape her actions and memories. The movie communicates a crucial message about the importance of all emotions, including sadness.

Explanation:

Inside Out is a movie presented by Pixar Animation Studios and released by Walt Disney Pictures. It showcases the story of an 11-year-old girl named Riley who moves from her hometown in Minnesota to San Francisco due to her father's new job. But this story is not a typical animation, as it transcends the usual plot setup. The unique aspect of this film is that it personifies Riley's five core emotions: Joy, Sadness, Anger, Fear, and Disgust, who live inside her mind and guide her actions and memories.

At the start of the movie, Riley's actions are primarily dictated by Joy, but the move to San Francisco triggers a series of events leading to Joy and Sadness getting lost in the depths of Riley's mind, leaving Anger, Fear, and Disgust in control. Throughout their journey to return to the headquarters, Joy and Sadness traverse various parts of Riley's mind, including Long-Term Memory, Imagination Land, and even the Subconscious, all the while Riley struggles with her new life.

In the end, the movie beautifully illustrates that all emotions are vital for a healthy mind - highlighting that sadness is as essential as joy. This plot overview simplifies a deep and complex movie, conveying a profound message about understanding and managing emotions.

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f(x) = X^2. what is g(x) A. g(x) = x^2 - 4 B. g(x) = x^2 + 4 C. g(x) = -4x^2 D. g(x) = -x^2 - 4

Answers

Answer:

D. g(x) = -x^2 - 4

Step-by-step explanation:

(A.P.E.X)

The required function g(x) = -x²- 4. Option D is correct.

f(x) = x², g(x) to be determine with help of graph.

What is function?

Function is defined as y = f(x). For every x their is certain value of y.

Here, from the graph g(x) is reflection of f(x) at y = -4.
So g(x) = -f(x) - 4
negative sign for reflection.
g(x) = -x²-4

Thus, The required function g(x) = -x²- 4.

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it is estimated that on a daily basis 15% of the custoners at a local supermarket use the express checkout. What is the probability that one of the first five customers on a given day uses the express checkout?​

Answers

Answer:

the answer is 1/5 for the probability

Help me in this question please

Answers

The least number 4 and 10 go into is 20. (4 goes into 20 five times and 10 goes into 20 two times)

For the function f(x) = x + 7, what is the ordered pair for the point on the graph when x = 2b?

Answers

Answer:

The ordered pair is the point [tex](2b,2b+7)[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x+7[/tex]

For [tex]x=2b[/tex]

Substitute the value of x in the function

so

[tex]f(2b)=2b+7[/tex]

therefore

The ordered pair is the point [tex](2b,2b+7)[/tex]

Answer:

(2b, 2b+7)

Step-by-step explanation:

Since the value of x is 2b, we just have to insert that value into the function in order to solve the ordered pair, we have the first part of the ordered pair, which is (2b), now we just insert the value of x into the function:

[tex]f(x)=x+7\\f(x)=2b+7[/tex]

Now we know that the value of y would be 2b +7, and the ordered pair will be (2b,2b+7)


Suppose Colby rolls the number cube 1000 times, about how many times can she expect to roll an odd number?​

Answers

Since there are 3 odd numbers ( 1, 3 and 5) and 3 even numbers ( 2, 4 and 6) in the cube ,

The chance of getting an odd number is 50/50 or 50%

So out of 1000 she will probably get 500 odd since 1000 × 0.5 (which is 50%) is 500

Complete the ratio
4 : 32 = 1 : ?

Answers

Answer:

1: 8

Step-by-step explanation:

4 : 32

Divide both the left and right side by 4

4/4 =1

32/4 = 8

4:32  becomes  1:8

Answer:

sorry i do not know

Step-by-step explanation:

Factor 27a^3 b^9+8c^18

Answers

For this case we must factor the following expression:

[tex]27a ^ 3b ^ 9 + 8c ^ 18[/tex]

So, we rewrite the terms like:

[tex]27a ^ 3b ^ 9 = (3ab ^ 3) ^ 3\\8c ^ {18} = (2c ^ 6) ^ 3[/tex]

So, we have:

[tex](3ab ^ 3) ^ 3 + (2c^6) ^ 3 =[/tex]

Being both perfect cube terms, we factorize by applying the cube sum formula:

[tex](a ^ 3 + b ^ 3) = (a + b) (a ^ 2-ab + b ^ 2)[/tex]

Where:

[tex]a = 3ab ^ 3\\b = 2c ^ 6\\(3ab ^ 3 + 2c ^ 6) ((3ab ^ 3) ^ 2- (3ab ^ 3) (2c ^ 6) + (2c ^ 6) ^ 2) =\\(3ab ^ 3 + 2c ^ 6) (9a^2b ^ 6-6ab ^ 3c ^ 6 + 4c ^ {12})[/tex]

Answer:

[tex](3ab ^ 3 + 2c ^ 6) (9a2b ^ 6-6ab ^ 3c ^ 6 + 4c ^ 12)[/tex]

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