Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2

Answers

Answer 1

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]

It means, segment AC is equal to A''B'' over 2 is the correct answer.


Related Questions

Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?

Answers

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?

Answers

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

Your bank charges you a fixed monthly fee for banking there and a charge for each check you write one month you wrote 23 checks and were charged 16.70 the next month you wrote 18 checks and were charged 15.95 how much is your fixed monthly charge and how much do they charge per check

Answers

Answer:

Your fixed monthly charge is $13.25 and the charge per check is $0.15.

Step-by-step explanation:

The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:

x+23y=16.70

Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:

x+18y=15.95

You can use these equations to find the value of x and y:

x+23y=16.70 (1)

x+18y=15.95 (2)

where x is the fixed monthly fee and y is the charge for each check

First, you can solve fo x in (1)

x=16.70-23y (3)

Then, you can (3) in (2):

16.70-23y+18y=15.95

16.70-5y=15.95

16.70-15.95=5y

0.75=5y

y=0.75/5

y=0.15

Finally, you can replace the value of y in (3) to find x:

x=16.70-23(0.15)

x=16.70-3.45

x=13.25

According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.

.................................................................................................................................................................................................................................................................................................................................................................................................

Answers

Answer:

47.022

Step-by-step explanation:

Answer: 47.022

Step-by-step explanation:

Pic

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

-10y+18=-3(5y-7)+57how do you solve this

Answers

-10y+18 = -15y+21+57
-10y +18 +15y -21-57= O
5y = 60
Y =12

Mrs. McGuffy is calculating a numerical analysis of the semester exam grades for students in her third period class. She entered the percentage correct on the exam for every student into a calculator and generated the following statistics. Which of these statements cannot be justified using statistics shown in these two calculator screen shots?
a) the range of the scores was 30%
b) the IQR was 8
c) the mean score was less than the median score?
d) the average score was 87%

Answers

Answer:

the answer is D

Step-by-step explanation:

the average score was 87%

If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4 ​

Answers

Given:

• The equation 9y² + 6ky + 4= 0 has equal roots .

To find :

• The value of k.

Solution:

• As we know that , For equal roots :

• Discriminant must be equal to zero.

D = b²- 4ac = 0

Here ,

a= 9 , b = 6k , and c = 4 .

=> b²-4ac= 0

=> (6k)² - 4 (9)(4)=0

=> 36k² - 144=0

=> 36k²= 144

=> k²= 144/36

=> k²= 4

=> k = ±2.

Hence ,the option b is correct .

I hope it will help you.

Regards.

3 ratios that are equivalent to the given ratio.
4/7

Answers

Answer:

8/1416/2824/56

Hope this helps! <3

Answer: Multiply by 2

Step-by-step explanation:

4*2=8    7*2=14

8:14

4*3=12   7*3=21

12:21

4*4=16   7*4=28

16:28

Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .

Answers

Complete Question:

A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answer:

If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.

Step-by-step explanation:

Given:

[tex] y = 0.3x - 6 [/tex]

Required:

Find x, if y = -6; -3; and 0.

SOLUTION:

x = the independent variable

y = dependent variable

To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -6 = 0.3x - 6 [/tex]

[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 0 = 0.3x [/tex]

[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 0 = x [/tex]

[tex] x = 0 [/tex]

To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -3 = 0.3x - 6 [/tex]

[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 3 = 0.3x [/tex]

[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] 0 = 0.3x - 6 [/tex]

[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 6 = 0.3x [/tex]

[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 20 = x [/tex]

[tex] x = 20 [/tex]


if c u means 20cd determine the value of 4 how to do maths how to do maths

Answers

Answer

4

Step-by-step explanation:

Lets assume that the variable "cu" is equal to 20cd. The value of this is 4. now we cancel out c from both sides, and get u = 20d = 4. Meaning d is 5, and u is 4. Lastly, u isnt a defined variable, so this shall work for any case.

y = 4x + 12
x + 4y = 32

Answers

I hope this helps you

A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points​

Answers

Answer:

150000

Step-by-step explanation:

i use cal

What is 3/4 dived by 1/2

Answers

the answer to your question is 1.5

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]

Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.

Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].

We can use cross multiplying to simplify/solve for it.

(Look at the image to see the cross multiplying).

Therefore, the answer is [tex]\frac{3}{2}[/tex].

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

When a number Is decreased by 20% of itself, the result is 24. What is the number?

Answers

Answer:

1The answer is 19.2

Step-by-step explanation:

24 - 4.8 = 19.2

the number is 30.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

a number Is decreased by 20% of itself, the result is 24.

let, the number =x

then, we get,

x *80% = 24

i.e. x* 4/5 = 24

so, x= 30.

hence, the number is 30.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ2

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

Lines Project Journal
need help for number 3​

Answers

Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

[tex]5^{2}[/tex]  +  [tex]13^{2}[/tex]  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

[tex]\sqrt(194)[/tex]  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  [tex]\sqrt{x^2+y^{2}[/tex]  , where x and y are the change in x and y between the two points.

Explain answers I need it now plz

Answers

Answer:

B

Step-by-step explanation:

The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.

The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.

2x + 5 = 31  

     - 5    -5

2x = 26

÷2 .  ÷2

x = 13  

Question in picture please answer

Answers

Answer:

-16

Step-by-step explanation:

-2=2+V/4

-V/4=2+2

-V/4=4

-V=4x4

-V=16

V=-16

What does the graph look like for y=2x-3

Answers

Sorry for the bad picture

Answer:

It will have a y-intercept of -3 and a rise of 2 and a run of 1.

Step-by-step explanation:

We can use a graphing calculator to help us graph for y = 2x - 3.

Attached below is the graph.

Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.

Answers

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Answer:

Step-by-step explanation:

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for a wall-to-wall carpet for her bedroom?

Answers

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary
A: (C + D)^2
B: 2(C + D)
C: C^2 + D^2
D: C^2 - D^2

Answers


(c + d)²
Expand
c² + 2cd + d²
------------------

B: 2(C + D)
When c and d are between 0 and 1
2(c + d) > (c + d)²
Example c = 0.2 and d 0.1
2(c+d) = 0.6
(c + d)² = 0.09
When c and d are greater than 1 then
(c + d)² > 2(c + d)
-------------------------

C: C^2 + D^2
Since (c + d)² expanded is (c² + d²) + 2cd
c² +-d² is always greater
-----------------------

D: C^2 − D^2
Subtracting results in a smaller number
c² +-d² is always greater
-------------------
Since a schools population can never be between 0 and 1
The answer that you are supposed to choose is
A: (C + D)² <––––––
However the question is defective and should be changed
from: "C and D must be greater than 0︎⃣"
to: C and D must be greater than 1︎⃣

PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, COMEEE ON

Which statement must be true?

Answers

Answer:

The first option 3~=6

Step-by-step explanation:

The two angles are alternate interior which means the angles are congruent

Answer:

The first option.

That is true because <3 and <6 are vertical angles. You can test this by replacing <3 with angle <1, which are equal. Then you can see <3 is equal to <6. So the first option must be true.

Hope this helps.

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12n>135+4.50n12n>135+4.50n represents the situation in which the artist makes a profit.

Answers

Answer:

The artist makes profits when n>8.18

that is when the number of necklaces exeeds 8.18

Step-by-step explanation:

Given

let the number of necklaces be n

booth rent= $135

The cost of materials for the necklaces = $4.5n

the selling price for all the necklaces =$12n

total expenses= booth rent+cost of material = $135+4.5n

profit = selling price -total expenses

12n > 135 + 4.50n

solving for n we have

12n=135 + 4.50n

12n+4.5n=135

16.5n=135

n=135/16.5

n=8.18

The artist makes profits when n>8.18

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9

Answers

Answer:

Step-by-step explanation:

Given equation is,

[tex]\frac{1}{2}(8x-6)=x+9[/tex]

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

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

x = 4

What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?

Answers

Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

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