How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing

Answers

Answer 1

Answer:

[tex](x,y)\rightarrow (kx,ky)[/tex]

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.

The dilation with the center of dilation at the origin and a scale factor of k has the rule

[tex](x,y)\rightarrow (kx,ky)[/tex]

This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).


Related Questions

What is the answer to this question? Simplify:

Answers

Answer:

19

Step-by-step explanation:

15-(-36/9)

15 + 4

19

Answer:

11

Step-by-step explanation:

36/-9 can be reduced to -4

15--(-4) is the same as 15+(-4) which is the same as 15-4

15-4=11

P=3L-3W solve for L (literal equation)

Answers

P=3L-3W

Move -3W to the other side. Sign changes to +3W

P+3W=3L-3W+3W

P+3W=3L

Divide both sides by 3 to get L by itself

P/3+3W/3=3L/3

Cross out 3 and 3, divide by 3 and then becomes 1*1*W=W

Cross out 3 and 3, divide by 3 and then becomes 1*1*L=L

P/3+W=L

Answer:

L=P/3+W

A function has a maximum value of 12.375 and x-intercepts of 0.41 and 1.84

Answers

Answer:

Step-by-step explanation:

X=1.125 hope this helps!

Jessica's home town is a mid-sized city experiencing a decline in population. The following graph models the estimated population if the decline continues at the same rate. Select the most appropriate unit for the measure of time that the graph represents. A. hours B. years C. weeks D. days

Answers

The answer should be B=years

Answer:

C on Plato

Step-by-step explanation:


−64=6(5n−3)+2(n−7)-64=6(5n-3)+2(n-7)

Answers

Answer:

no solution

Step-by-step explanation:

30n-18+2n-14-64=30n-18+2n-14

32n-96=32n-32

-96=-32<-----false statement, therfore it is no solution

Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?

Answers

Answer:

Width 15 feet

Step-by-step explanation:

Use formula

[tex]A_{rectangle}=\text{Width}\cdot \text{Length}[/tex]

Let x feet be the width of the rectangle.

If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.

The area of the rectangle is 900 square feet, so

[tex]900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15[/tex]

The width cannot be negative, then x=15 feet and 4x=60 feet.

Final answer:

To find the width of the rectangle when the length is 4 times the width and the area is 900 square feet.

Explanation:

To find the width of the rectangle:

Let the width be w feet.

Since the length is 4 times the width, the length is 4w feet.

Given that the area is 900 square feet, we can set up the equation w * 4w = 900 to solve for w.

4w² = 900

w² = 225

w = 15 feet

Therefore, the width of the rectangle is 15 feet.

Solve -2(t+2)+5t=6t+11

Answers

Answer:

t=-5

Step-by-step explanation:

Answer:

t = -5

Step-by-step explanation:

Distribute by multiplication -2(t + 2), obtaining

-2t - 4 + 5t = 6t + 11.

Combine the t terms; this yields -4 = 3t + 11.  Solving for 3t, we get

3t = -4 -11, or 3t = -15.  Thus t must be -5.

i need help with a math problem right now it says A car rental agency advertised renting a car for $23.95 per day and $0.25 per mile. If Trevor rents this car for 3 days, how many whole miles can he drive on a $100 budget?​

Answers

Trevor rents the car for 3 days and there’s a $23.95 fee per day, so that would already add up to $71.85. If you subtract the $71.85 from your $100 budget you will have $28.15,and now you divide that by .25 because it’s 25 cents per mile and all you have left is $28.15 and you will get 112.6,but the whole miles Trevor can drive are 112

Is this the right answer?

Answers

Answer:

It would be -22, not 22%. She is $22 in debt, which is why it is negative.

Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ

Answers

Answer:

m∠QRT = 90°

m∠QRT = m∠SRT

Step-by-step explanation:

Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.

RT is angle T bisector, so angles QTR and STR are congruent.

Consider two triangles QTR and STR. In these triangles:

TR ≅ TR (reflexive property); ∠QTR ≅ ∠STR (given);QT ≅ ST (given).

By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so

QR ≅ SR ∠QRT ≅ ∠SRT

Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to [tex]\frac{1}{2}\cdot 180^{\circ}=90^{\circ}[/tex]

So, true options are

m∠QRT = 90°

m∠QRT = m∠SRT

Answer:

The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

Step-by-step explanation:

Given information;

The triangle QST is isosceles with QT ≅ ST.

The angle STR ans RTQ are congruent.

Now, consider two triangles QTR and STR

In the following triangle

1. TR  ≅  TR (having reflective property)

2. [tex]\angle[/tex]QTR ≅ [tex]\angle[/tex]STR (as given in question)

3. QT ≅ ST (as given in information)

Now, according to SAS postulate , two congruent triangle have congruent corresponding to their sides ,

Hence ,

1. QR ≅ SR

2. [tex]\angle[/tex]QRT ≅ [tex]\angle[/tex]SRT

Since, this above two angles are congruent they will have same measure

That will be

[tex]=(180/2)\\=90 ^o[/tex]

Hence, The correct options are;

m[tex]\angle[/tex]QRT [tex]=90^o[/tex]

m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT

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My math problem is 920÷310 can somebody please help me

Answers

Answer:

2.967741935

Step-by-step explanation:

Find the slope of the line passing through the
points
(-9, 2) and (7,2)

Answers

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

I am joyous to assist you anytime.

Which is greater, 9 x 10-2 or 3 x 10-4? How many times
greater is the number you chose than the other number?
Explain your reasoning.​

Answers

Final answer:

[tex]9 \times 10^{-2 }(0.09)[/tex] is greater than [tex]3 \times 10^{-4} (0.0003)[/tex], and is 300 times greater.

Explanation:

To determine which is greater between  [tex]9 \times 10^{-2 }[/tex] and  [tex]3 \times 10^{-4}[/tex]we need to understand how to interpret numbers in scientific notation. The expression  [tex]9 \times 10^{-2 }[/tex] means 9 times 1 following 2 zeroes to the left, resulting in 0.09. In the case of   [tex]3\times 10^{-4}.[/tex] it means 3 times 1 following 4 zeroes to the left, producing 0.0003.

Comparing these values,  [tex]9 \times 10^{-2 }[/tex] is clearly the larger number because 0.09 is greater than 0.0003. To find out how many times greater it is, we divide the larger number by the smaller one: 0.09 / 0.0003 equals 300. Therefore,  [tex]9 \times 10^{-2 }[/tex]is 300 times greater than [tex]3\times 10^{-4}.[/tex]

What is x minus 1???

Answers

Answer:

N/A

p-by-step explanation:

x minus 1 is already a simplified expression (can only be solved if you know x)

Depends on the x actually but usually x maybe

Solve the equation 5x + 7y = 35 for y.

Answers

Answer:

B. [tex]y= 5 - \frac{5}{7} x[/tex]

Step-by-step explanation:

okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35

Then you divide 7 on both sides and get y = -5/7x + 5

The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

The correct option is B.

To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.

Let's begin by subtracting 5x from both sides:

5x + 7y - 5x = 35 - 5x

The 5x terms cancel out on the left side, leaving us with:

7y = 35 - 5x

Now, to isolate y, we divide both sides of the equation by 7:

(7y) / 7 = (35 - 5x) / 7

Simplifying further, we have:

y = (35 - 5x) / 7

Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

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2. On a recent field trip, students paid $15 for
each ticket. If $675 is the total cost, how many
tickets were purchased?
a. Write an equation:
b. What is the constant of proportionality?​

Answers

Answer:

See below.

Step-by-step explanation:

Cost of tickets = number of tickets *  cost of 1 ticket

The number of tickets purchased was  675/15 = 45.

a. C = 15n   .

b. Constant of proportionality is 15.

Answer: $675 + $15 =

Step-by-step explanation:

first add the 5 and 5 together drop the zero carry the one then add 1 and 7 plus 1 which is 9 then add 6 plus zero and ur answer should be 690

Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2

Answers

Answer:

B

Step-by-step explanation:

Final answer:

The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.

Explanation:

To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.

Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.

Reviewing the options:

A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1

However, according to the question we need to find the number that is not a solution, so the answer is C) -1.

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Is my student correct?​

Answers

Answer:

Yes

Step-by-step explanation:

There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.

Answer:

YES

Step-by-step explanation:

BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL

7 3/4% as a fraction in simplest form

Answers

this probably isn't right but this is what the internet says 31/400

Final answer:

To convert 7 3/4% to a fraction in simplest form, add the whole number and the fractional part together, find a common denominator, and simplify if necessary.

Explanation:

To convert 7 3/4% to a fraction in simplest form, we first need to convert the mixed number to an improper fraction. The whole number part, 7, can be written as 7/1. Adding the fractional part, we have (7/1) + (3/4). To add fractions, we need a common denominator, which in this case is 4. So, we rewrite the fractions as (28/4) + (3/4). Adding the numerators, we get 31/4. Since we want the fraction in simplest form, we can simplify 31/4 by dividing both the numerator and the denominator by their greatest common factor, which is 1. Therefore, 7 3/4% as a fraction in simplest form is 31/4.

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How are absolute values used to describe quantities ?

Answers

Answer:

Absolute value is a number's distance from 0, so when comparing quantities, such as positive and negative, the greater absolute value is of that number.

For ex:

|-11| > |6| ,  because |-11| = 11, |6| = 6, and 11 > 6.

So, |-11| > |6|

Absolute values are used to describe the distance of any values from the point 0. Hence, absolute values are used to express the positive value a quantity.

Quantities may be positive or negative depending on their relative position from Zero.

Positive values are to the right of Zero; While negative values are to the left of Zero.

Since quantities maintain equal distance either to the left or right of Zero; Absolute values are only concerned with the magnitude of a quantity from Zero and not the direction.

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In a lab, a substance was cooled by 36°C over a period of 9 hours at a constant rate. What was the change in temperature each hour?

Answers

The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.

To find the change in temperature each hour, we can use the formula for the rate of change of temperature:

ΔT/Δt = Rate of change of temperature

Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:

ΔT/Δt = 36°C / 9 hours

Simplifying this, we get:

ΔT/Δt = 4°C/hour

So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

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PLEASE HELP!
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of the three medians of triangle ABC

Answers

Answer:

y= -7/6x+6

y= -1/2x+8

x = -3

Step-by-step explanation:

Find the slope of the lines of the triangle. Then you can find the perpendicular  slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.

What inequality is graphed below?

x < -6
x ≤ -6
x ≥ -6

Answers

Answer:

x ≥ -6

Step-by-step explanation:

What is 2/28=7/8 cross multiplied

Answers

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]\frac{2}{28}=\frac{7}{8}[/tex]

we know that

To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.

2(8)

Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

7(28)

Next, set the 2 products equal to each other.

2(8)=7(28)

The glasses that Pierre wants to buy cost $230. If he waits for them to go on sale next week, he can get a 15% discount. How much will he save if he waits?

How much will the glasses cost if he waits?

Answers

Answer:

$34.50 saved

Step-by-step explanation:

230 - 15% = $195.5

230 - 195.5 = 34.5 saved

The U.S. is 3.794 million square miles. Approximately 650,000 square miles are worked for food production. What percent of the U.S. is worked for food production?

Answers

650,000/(3.794x10^6)=17.13%

Final answer:

Approximately 17.12% of the U.S. is worked for food production.

Explanation:

The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.

Percentage = (Area worked for food production / Total area of the U.S.) x 100

Percentage = (650,000 / 3,794,000) x 100 = 17.12%

How can you solve for x in the proportion 7/8 = x/24?
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

The answer is x=21. You have to do cross multiplication

Answer:

The answer is D

Step-by-step explanation:

two numbers are in the ratio of 2to 3 if the smaller number is 18 what is the larger number

Answers

Answer:

27

Step-by-step explanation:

a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?

Answers

Answer:

The ratio between won and lost is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

[tex]x=21\ games[/tex]

[tex]y=12\ games[/tex]

we know that

To find the ratio divide the number of games won by the number of games lost

so

[tex]\frac{x}{y}[/tex]

substitute the values

[tex]\frac{21}{12}[/tex]

Simplify

[tex]\frac{7}{4}[/tex]

estimate the square root of 27 over 4 to the nearest 10th

Answers

Answer:

1.3

Step-by-step explanation:

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