Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?

Answers

Answer 1

Answer:

The scale factor is 3.

Step-by-step explanation:

Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).

Therefore, the distance OA is given by [tex]\sqrt{(3 - 0)^{2} + (- 6 - 0)^{2}} = 3\sqrt{5}[/tex] units.

Again, the coordinates of point A' are (1,-2).

Therefore, the distance OA' is given by [tex]\sqrt{(1 - 0)^{2} + (- 2 - 0)^{2}} = \sqrt{5}[/tex] units.

Hence, the scale factor is [tex]\frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3[/tex]. (Answer)


Related Questions

Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed around.

Which statements about the situation are true? Check all that apply.

P(6) = P(1)
P(5) = One-half
P(>10) = 0
P(1 < x < 10) = 100%
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
If A ⊂ S; A could be {1, 3, 5, 7, 9}

Answers

Answer: A, C, E, F

Step-by-step explanation:

Answer: A, C, E, F

Step-by-step explanation:

2 with an exponent of -2

Answers

Answer:

0.25

Step-by-step explanation:

2^-2=0.25

24 is 120% of what?, i need help so please tell ne the steps!?​

Answers

Answer: it’s 20

We have, 120% × x = 24

or,

120/100 × x = 24

Multiplying both sides by 100 and dividing both sides by 120,

we have x = 24 × 100/120

x = 20

If you are using a calculator, simply enter 24×100÷120, which will give you the answer.

Which of the following does NOT describe a control group?

Answers

Answer:

D. a group of trees not given a new growth hormone

Step-by-step explanation:

Because everything is controlled I think

How do i get a equation that equals 24 using the numbers 8 3 5 and 1 with a 24 card using multiplication negative times division

Answers

Answer:

[(8-3)×5]-1=24

Step-by-step explanation:

[(8-3)×5]-1=24

[(5)×5]-1=24

[5×5]-1=24

[25]-1=24

25-1=24

24=24

Using the numbers 8, 3, 5, and 1 with multiplication, negative numbers, and division, you can form the equation (8 - 5) × 3 = 24.

How to get an Equation that equals a number?

Sure, let's find an equation that equals 24 using the numbers 8, 3, 5, and 1 with the operations of multiplication, negative numbers, and division:

Equation: (8 - 5) × 3 = 24

See calculation below:

Start with the number 8 then subtract 5 to get 3.

Multiply 3 by 3 to get 9 and then multiply 9 by -1 to get -9.

Subtract -9 from 24 to get 33.

So, the equation (8 - 5) × 3 = 24 is achieved using the numbers and operations you specified.

Learn more about Equation on:

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What is the square root of 59,13,2,and 7/2 rounded to the nearest tenth.

Answers

Answer:check the pic

Step-by-step explanation:

Simplify the expression. 5–3 • 7^0

Answers

Answer:

5-3x7^0

(5-3)7^0

2x1

2

Step-by-step explanation:

7^0 is 1

and do you want to chat

Answer:

5-3 x 7^0

5-3 x 0

5-0

5

Step-by-step explanation:

I cannot type a dot so x is multiply. PEMDAS so take care of your exponent first 7^0=0. Now we have 5-3 x 0 so your next step is multiplication take 3 x 0= 0. Now you have 5-0, and 5-0= 5

2)x-5)+2-3(5-2x)=16​

Answers

Answer:

Step-by-step explanation:

hello :

2(x-5)+2-3(5-2x)=16​

2x-10+2-15+6x =16

8x-23 =16

8x =39

x = 39/8

Panchito Pantera has 100 coins(Quarters and dime). He has a totalof $22.How many quarters does he have?? dimes??

Answers

There are 20 dimes and 80 quarters

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

1 dime = $ 0.10

1 quarter = $ 0.25

Panchito Pantera has 100 coins

Therefore,

number of dimes + number of quarters = 100

d + q = 100 ----------- eqn 1

He has a total of $22. Thus we frame a equation as:

number of dimes x 0.10 + number of quarters x 0.25 = 22

[tex]d \times 0.10 + q \times 0.25 = 22[/tex]

0.1d + 0.25q = 22 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 100 - q ------- eqn 3

Substitute eqn 3 in eqn 2

0.1(100 - q) + 0.25q = 22

10 - 0.1q + 0.25q = 22

0.15q = 22 - 10

0.15q = 12

Divide both sides by 0.15

q = 80

Substitute q = 80 in eqn 3

d = 100 - 80

d = 20

Thus there are 20 dimes and 80 quarters

Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)

Answers

Answer:

The correct step is y = - 5 for, - 4 ≤ x < - 3.

Step-by-step explanation:

From the definition of a box function y = [x], we know that

y = 0 for, 0 ≤ x < 1

y = - 1 for, - 1 ≤ x < 0

y = - 2 for, - 2 ≤ x < - 1

Here, we are given another box function y = [x - 1], and we have to choose from options the steps which is included in the graph of the this function.

So, the correct step is y = - 5 for, - 4 ≤ x < - 3. (Answer)

There are 25 bananas that will be cut and divided evenly between 4 loaves of bread. How many bananas go into each loaf? Choose the correct answer from the choices below.

6 3⁄4 bananas per loaf

6 1⁄4 bananas per loaf

5 3⁄4 bananas per loaf

5 1⁄4 bananas per loaf

5 1⁄2 bananas per loaf

Answers

Answer: 6 1/4

Step-by-step explanation: 25 divided by 4 = 6 1/4

The equations in this sytem were added to solve for x. What is the value of x?

Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3

Answers

Question:

The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3

Options:

x = negative 3

x = negative 1

x = 1

x = 3

Answer:

The value of x is 1

Solution:

Given system of equations are:

-2x + y = 8 ------- eqn 1

5x - y = -5 ------- eqn 2

The above equations are added to solve for "x"

Add eqn 1 and eqn 2

-2x + y + 5x - y = 8 - 5

Combine the like terms

-2x + 5x + y - y = 3

Add the like terms

3x + 0 = 3

3x = 3

Divide both sides of equation by 3

x = 1

Thus the value of x is 1

Answer:

x=1

Step-by-step explanation:

On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled? ​

Answers

Answer:

620

Step-by-step explanation:

What is 19 3/5 -18 4/5=

Answers

Answer:

1 -1/5 is the answer #markasbrainliest

The correct answer is 4/5

two equivalent fraction for 3/12​

Answers

9/36 and 1/4 because you and divide and multiple those

Answer:

1/4 and 6/24

Step-by-step explanation:

3 divided by 3 equals 1. So then you have to do the same for the denominator. 12 divided by 3 equals 4. And you get 1/4.

Another is 3 x 2 = 6 and 12 x 2 = 24. 6/24

What percent of 140 is 50.4?
Ο 27%
Ο
Ο 36%
Ενετούς
Ο
Ο 50%
Ο 63%

Answers

Answer:

36%.

Step-by-step explanation:

That is (50.4 / 140) * 100

= 0.36 * 100

= 36 %.

HELP PLEASE What is the volume of this right cone?
O 384 pie cm
O 691 cm
1038 cm
2073 cm

Answers

The answer would be properly V = 1/3*pi*r²*h ..

V = 1/3*pi*12²*8 ..

V = 384*pi.

Hope it helps! ~

RealNameXHidden :0

At the mall you spent a total of $170.86 if you bought two pairs of jeans for $39.95 each a jacket for $45.99 and shirts for

Answers

A total of $170.86 will be spent if you buy shirts for $44.11

Step-by-step explanation:

Step 1:

Let the cost of shirts be $x.

Given that, one pair of jeans costs $39.95, 2 pairs cost 2 * $ 39.95 which is $79.9. Jacket costs $45.99.

Step 2:

Create an equation with this given data.

$170.86 = $x + $79.9 + $45.99

Step 3:

Calculate the value of x from this equation to get the cost of shirts.

$170.86 = $x + $125.89

$x = $170.86 - $125.89

$x = $44.11

what number is divisible by 2

Answers

Every even number can be divided by 2

Answer:4,6,8,10,12,14,16,18,20

Step-by-step explanation:

Basically all even numbers.

Next Tuesday, Cordelia is catering a proposal dinner for her brother. If she wants to serve her macaroni and cheese at this dinner for 2, she will use _____ cup(s) of Parmesan cheese. The recipe includes that 1/2 Cups of Parmesan cheese serves 4 people.

Answers

Answer: [tex]\frac{1}{4}\ cups[/tex]

Step-by-step explanation:

For this exercise it is important to analize the information given in the exercise.

 According to the data provided in the exercise, the recipe says that [tex]\frac{1}{2}\ cups[/tex]  of Parmesan serves four people.

 The, let be "x" the amount of cups of Parmesan cheese that Cordelia will use for her brother's proposal dinner.

In this case, since the proposal dinner is for two people, you can set up the following proportion:

[tex]\frac{4}{\frac{1}{2}}=\frac{2}{x}[/tex]

Finally, you must solve for "x" in order to find its value, as you can observe below:

[tex]8=\frac{2}{x}\\\\8x=2\\\\x=\frac{2}{8}\\\\x=\frac{1}{4}[/tex]

Therefore, knowing the value of "x", you can determine that Cordelia will use [tex]\frac{1}{4}\ cups[/tex]  of Parmesan cheese for the proposal dinner.

If the weight of a package is multiplied by 2/3 the result is 40 pounds. Find the weight of the package.

Answers

all you do is divide 40 by 2/3 to get the answer :D

Answer: Weight is 60

Explanation:

So lets look at what we are given:

w (weight) * 2/3 = 40 pounds

(short explanation is you times 40 by 3/2)

We want to solve for weight there are a few ways to do this but the easiest one is to times both sides of the equation by the reciprocal of 2/3. Which is 3/2. That will cancel our the 2/3 and leave only "w" on the left side.

w = 40 * 3/2

Solve each system by elimination.
3) 9x - 5y = 13
- 4x + 5y = 22​

Answers

Answer:

x=7, y=10. (7, 10).

Step-by-step explanation:

9x-5y=13

-4x+5y=22

-------------------

5x=35

x=35/5

x=7

9(7)-5y=13

63-5y=13

5y=63-13

5y=50

y=50/5

y=10

Solve for t. 2:3 = 27:t
18
18.5
40.5

Answers

Answer:

2t = 81

t = 40.5 is the answer

answer is c

factor this expression completely. 18x^2 - 32

Answers

Answer:

2(3x - 4)(3x + 4)

Step-by-step explanation:

Factorizing the below expression requires factoring common term.

[tex]18 {x}^{2} - 32[/tex]

Obviously 2 is common to both 18 and 32. Thus, the answer is:

[tex] = 2(9 {x}^{2} - 16)[/tex]

=2(3x - 4)(3x + 4)

Answer:

the answer above was a little confusing to me so i thought i would just give the answer straight up: 2(3x+4)(3x-4)

Step-by-step explanation:

just did the test! :)

Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have Brown belts. which age group has a higher ratio of black belts to Brown belts

Answers

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

just realized this is science not math O_o Determine if each description is mass or weight. Drag each description into the correct category.

This remains the same on the moon as on Earth.


This results from the pull of gravity.


This relates to the amount of matter in an object.


This will change in space.


mass(this is a category) weight (this is a category)

sorry i just realized its not mathematics O_o

Answers

This remains the same on the moon as on Earth.  --> MASS

This results from the pull of gravity.  --> WEIGHT

This relates to the amount of matter in an object.  --> MASS

This will change in space.  --> WEIGHT

mass is a SCALAR, weight is a VECTOR

Step-by-step explanation:

In physics:

- The mass of an object is a scalar quantity that gives a measure of the "amount of matter" in an object. It is an intrinsec property of the object, therefore its value does not depend on the location of the object.

- The weight of an object is the force of gravitational attraction exerted on the object. Being a force, it has a magnitude and a direction. Its magnitude is given by

[tex]F=mg[/tex]

where m is the mass of the object and g is the acceleration due to gravity at the location of the object. Therefore, its value depends on the location.

Now we can identify correctly each statement given:

This remains the same on the moon as on Earth.  --> MASS

This results from the pull of gravity.  --> WEIGHT

This relates to the amount of matter in an object.  --> MASS

This will change in space.  --> WEIGHT

mass is a SCALAR, weight is a VECTOR

Learn more about mass and weight:

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What is the name of when the line of slope is on the x axis line

Answers

Answer:

X-axis

Step-by-step explanation:

the name of when the line of slope is on the x axis line is the x axis line.

Answer: intersect.

Step-by-step explanation:

A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the volume of the prism is 81, what are the lengths of the sides of the base?

Answers

Length of side of base is 5.45

Step-by-step explanation:

Step 1: Volume of a right prism = Area of the base × Height = 1/2 × base × height of base × height of prism

Here, since the base is an equilateral triangle and it is given that height of the prism is equal to that of the base, measures of base and height are equal.

⇒ Volume = 1/2 × b × h × h (b and h are equal)

⇒ 81 = 1/2 × b³

⇒ b³ = 162

⇒ b = ∛162 = 5.45

In the translation T of the graph below, use the figure to describe the following transformation. T -2 : (x, y)

(x - 9, y- 1)
(x - 6, y - 2)
(-2x - 6, -2y - 2)

Answers

See the explanation

Explanation:

You haven't provided any figure, so I could help you in a general way providing my own figure which is attached below. In order to illustrate transformations, let's choose the third one:

[tex]T:(x - 6, y - 2)[/tex]

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

[tex]A(10,4) \\ \\ B(14,2) \\ \\ C(14,6) \\ \\ C(10,-2) \\ \\ \\ E \rightarrow (10-6,4-2) \rightarrow (4,2) \\ \\ F \rightarrow (14-6,2-2) \rightarrow (8,0) \\ \\ G \rightarrow (14-6,6-2) \rightarrow (8,4) \\ \\ H \rightarrow (10-6,-2-2) \rightarrow (4,-4)[/tex]

Learn more:

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Answer:

The answer is (x - 6, y - 2)

Step-by-step explanation:

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

who ever answers right will get Brainlyeist!!!!! PLEASE HELP ME OUT!!!

3. Find the area of the triangle.

A. 21.2 in
B. 10.5 in
C. 21 in
D. 42 in​

Answers

Answer:

  C.  21 in² . . . . your answer selection is correct.

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b represents the base of the triangle, and h represents the height of the opposite vertex above that base.

The figure shows you that half the base is 3 in and the height is 7 in, so the area is ...

  A = (1/2b)h = (3 in)(7 in) = 21 in² . . . . matches choice C

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