Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).

Graph The Image Of The Given Triangle Under A Dilation With A Scale Factor Of 4 And Center Of Dilation

Answers

Answer 1

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

A (1,2)B (1,-2)C (-2,-2)Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

Graph The Image Of The Given Triangle Under A Dilation With A Scale Factor Of 4 And Center Of Dilation

Related Questions

What fraction is equivalent to 2 31/32

Answers

Answer:

95/32

Step-by-step explanation:

You can multiply 32 by two, 64, then add 31, 95

Answer:

95/32

Step-by-step explanation:

yea i checked and it is 95/32

solve for x: 7^(3x+7)=7^(-8x-4)

Answers

Answer:

x = -1

Step-by-step explanation:

7^(3x+7) = 7^(-8x-4)

First Step: Cancel out like bases.

3x + 7 = -8x - 4

Second Step: Add 8x on both sides.

11x + 7 = -4

Third Step: Subtract 7 on both sides.

11x = -11

Fourth Step: Divide by 11 on both sides.

x = -1

A woman has a total of $ 12 , 000 to invest. She invests part of the money in an account that pays 7 % per year and the rest in an account that pays 9 % per year. If the interest earned in the first year is $ 920 , how much did she invest in each account?

Answers

That would be 34 your welcome:)

A rocket leaves the surface of Earth at time t=0 and travels straight up from the surface. The height, in feet, of the rocket above the surface of Earth is given by y(t), where t is measured in seconds for 0≤t≤600. Values of y(t) for selected values of t are given in the table above. Of the following values of t, at which value would the speed of the rocket most likely be greatest based on the data in the table?

(1) t=100

(2) t=200

(3)t=300

(4) t=400

Answers

Answer:

Remember that:

Speed = distance/time.

Then we can calculate the average speed in any segment,

Let's make a model where the average speed at t = t0 can be calculated as:

AS(t0) = (y(b) - y(a))/(b - a)

Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.

Then:

if t0 = 100s

AS(100s) = (400ft - 0ft)/(200s - 0s) =   2ft/s

if t0 = 200s

AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s

if t0 = 300s

AS(300s) = (3200ft - 400ft)/(400s - 200s) =  14ft/s

if t0 = 400s

AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s

So for the given options, t = 400s is the one where the velocity seems to be the biggest.

And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.

Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.

Speed is simply the rate of change of distance over time.

The greatest speed is at [tex]t = 400[/tex]

To calculate the time of the greatest speed, we simply calculate the slope between each interval.

The slope (m) of a line is:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

When [tex]t = 100[/tex]

[tex](t_1,y_1) = (0,0)[/tex]

[tex](t_2,y_2) = (200,400)[/tex]

So, we have:

[tex]m = \frac{400-0}{200 -0}[/tex]

[tex]m= \frac{400}{200}[/tex]

[tex]m = 2[/tex]

When [tex]t = 200[/tex]

[tex](t_1,y_1) = (100,50)[/tex]

[tex](t_2,y_2) = (300,1360)[/tex]

So, we have:

[tex]m = \frac{1360-50}{300 -100}[/tex]

[tex]m = \frac{1310}{200}[/tex]

[tex]m = 6.55[/tex]

When [tex]t = 300[/tex]

[tex](t_1,y_1) = (200,400)[/tex]

[tex](t_2,y_2) = (400,3200)[/tex]

So, we have:

[tex]m = \frac{3200-400}{400 -200}[/tex]

[tex]m = \frac{2800}{200}[/tex]

[tex]m = 14[/tex]

When [tex]t = 400[/tex]

[tex](t_1,y_1) = (300,1360)[/tex]

[tex](t_2,y_2) = (500,6250)[/tex]

So, we have:

[tex]m = \frac{6250-1360}{500-300}[/tex]

[tex]m = \frac{4890}{200}[/tex]

[tex]m = 24.45[/tex]

From the above computation, the greatest speed (i.e. slope) is

[tex]m = 24.45[/tex]

The corresponding time at [tex]m = 24.45[/tex] is [tex]t = 400[/tex]

Hence, the greatest speed is at [tex]t = 400[/tex]

Read more about speed at:

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vhbhbububjbvuvhjuvvbihjbuvi

Answers

Answer:

thanks

Step-by-step explanation:

:) hahahahahah

The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?

Answers

Answer:

10 miles per second

Step-by-step explanation:

if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).

The speed of Atlas V Rocket was 10 mile per second.

Here,

The distance travel by Atlas V Rocket was = 1 mile

Time taken = 1/10 second

We have to find the speed of Atlas V Rocket.

What is Speed?

Speed of an object is calculated as;

Speed = Distance/Time

Now,

The distance travel by Atlas V Rocket = 1 mile

Time taken = 1/10 second

Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]

Therefore, The speed of Atlas V Rocket was 10 mile per second.

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The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?

Answers

Answer:

22 46 15

Step-by-step explanation:

i looked it up because i was even confused. but i think this is right. hope this helps.

Some number added to 17

Answers


Seria:
x.x=30
2x=30
x=30/2=15
x+x=17
15+x=17
x=17-15
x=2
Reemplazamos:
15+2=17

Can someone Identify the terms and coefficients;

8x-20y-10

Answers

Answer:

cooeficients are + 8,20 and 10

terms are x and y

CE is an angle bisector of angle ACB.
If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]

[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]

The value of x from the angle bisector is: x = 20

How to find the value of the angle bisector?

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

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How many ten thousands =400 hundreds

Answers

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

from the product of 30 and 70 take the sum of the two numbers

Answers

Huh? Is yo question finished

-√121 + 5 please help fast

Answers

Answer:

-6

Step-by-step explanation:

Help with this pls ?

Answers

Answer:

x = 5

x = 11/2

x = -5/2

x = 3

x = 5/2

Step-by-step explanation:

When rounding to the nearest ten, what is is the least whole number that roundd to 840

Answers

Answer:

835  

5 and up is rounded higher.


You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?

Answers

Answer:

28 children tickets

Step-by-step explanation:

$109 for the whole cost

bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee

add them together 25$

109-25 =84

84/3 =28

x is less than nine ​

Answers

Answer:

x < 9

Step-by-step explanation:

x is less than nine

x < 9

Answer:

x<9

Step-by-step explanation:

less than symbol is this <

The question is x is less than 9

so

x<9

Hope this helps!

Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?

Answers

Answer:

983040

Step-by-step explanation:

Second Year : 15x4=60

Third Year : 60x4=240

Fourth Year : 240x4=960

Fifth Year : 960x4=3840

Sixth Year : 3840x4=15360

Seventh Year : 15360x4 = 61440

Eighth Year: 61440x4=245760

Ninth Year : 245760x4= 983040

I’m I think it is uh

Simplify i12. 1 −1 −i i

Answers

Answer:

The answer for the first one is 1 and the second answer is 12i.

Step-by-step explanation:

The value of the given imaginary number i¹² will be 1 thus option (A) is correct.

What is a complex number?

A complex number is the sum of a real number and an imaginary number.

The idea of a complex number has come by solving a quadratic equation that has root as negative under root.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The value of iota(i) is given as i = √(-1).

By the law of indices,

i¹² = (i²)⁶

⇒ (-1)⁶

Since the even exponents of a negative number give positive output thus  (-1)⁶ = 1.

Thus, i¹² = 1

Hence "The value of the given imaginary number i¹² will be 1".

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The surface area Q of a certain shape is three times the product of u and the square of its width w.

Answers

Answer:

Q = 3uw

Step-by-step explanation:

what are three ratios equivalent to 8:5

Answers

Answer:

80:50 800:500 16:10

Step-by-step explanation:


Find the daily rate if the annual interest rate is 12%.
.
a. 0.0003287671
• b. 0.03287671
.
C. 0.23076923
.
d. 0.00230769

Answers

Answer:

B.) 0.03288%

Step-by-step explanation:

I hope this helps you :)

Answer:

Periodic Interest Rate (P)

(rate per compounding period)

0.03288%

Answer is B

Step-by-step explanation:

1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x​

Answers

D. y=mx+b. m being slope and b being the y intercept. so the equation for the line is y=3x+2 and to be parallel your m must be the same number so D. 3x

Write the recurssive formula. Clarissa is buying a homecoming dress onlayaway. The dress costs $185. She makes a down payment of $20 to put the dress on layaway and then makes weekly payments of $15. In how many weeks will the dress be paid off?

Answers

Answer: x = 11

Step-by-step explanation:

185=  15x +20

minus 20 from both side

165 = 15x

divide 15 by both side

11 = x

helpppppppppp!!!!!!


1) If a recipe that uses 12 cups of flour to make 8 cakes needs to be scaled down to make 6 cakes, how much flour will the new yield require?

○6 cups

○9 cups

○10 cups

○11 cups

2) What is the benefit of formulas?

○They require less time to cook.

○They produce the same results every time.

○Most home cooks will become familiar with formulas.

○Formulas require fewer ingredients than most recipes.

3) If a restaurant needs 10 pounds of ground beef to make 50 servings of chili, how many pounds of ground beef are required to make 65 servings?

○13 pounds

○15 pounds

○18 pounds

○20 pounds

4) How much dough can a commercial freestanding mixer make at once?

○Up to 100 pounds

○Up to 175 pounds

○Up to 350 pounds

○Up to 500 pounds

5) A blender would be the best choice when making which of the following?

○A fruit pie

○A fish entrée

○Cookie dough

○A mustard sauce

6) If a batch of cake batter is cooked in one large pan instead of two round pans, how will this change the cooking time?

○There is no change in the cooking time.

○The larger pan will take longer to cook.

○The two smaller pans will take longer to cook.

○It won’t since the amount of batter is the same.

Answers

Answer:

1)9 cups

2) they produce the same results

3)13 pounds

4)100 pounds

5) a mustard sauce

6) the larger pan would take a longer to cook

Which expression is equivalent to 25 x 1/5?

Answers

Answer:

The answer would be E.

When you solve 25 x 1/5, you get 5.

When you solve 25 ÷ 5, you get 5.

The equivalent expression is 25 ÷ 5.

Option E is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example.

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

25 x 1/5

= 25 x 1/5

= 5 x 5 x 1/5

= 5

Now,

1/25 x 5

= 1/5

1/25 x 1/5

= 1/125

1/25 ÷ 1/5

= 1/25 x 5

= 1/5

5 ÷ 25

= 5/25

= 1/5

25 ÷ 5

= 5

We see that,

25 x 1/5 and 25 ÷ 5 have the same value.

Thus,

The equivalent expression is 25 ÷ 5.

Learn more about expressions here:

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Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.

Answers

Answer:

Yes

Step-by-step explanation:

If y is the total cost, then this would be correct.

4.0 divided by 0.02=

Answers

Answer:

Step-by-step explanation:

What is the value of x, when -25(x - 4) = -55(x - 10)?

Answers

Answer:

-25(x - 4) = -55(x - 10)

-25x+100= -55x+550

-25x+55x=550-100

30x=450

x=15

Answer:

x= 15

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-25x-(-25)4= -55x-(-55)10

Step 2- Multiply to simplify

-25x+100= -55x+550

Step 3- Add -55x to both sides

-25x+100= -55x+550

+55x          +55x

Step 4- Subtract 100 to both sides

30x+100= 550

      -100   -100

Step 5- Divide both sides by 30

30x= 450

30     30

x= 15

Solve for x.
3(-4x-1)-2x+4=43
Please help I’m crying my eyes out I hate delta math

Answers

Answer:

x = - 3

Step-by-step explanation:

3 (-4 x - 1) - 2 x + 4 = 43

Expand the terms in the bracket

That's

- 12x - 3 - 2x + 4 = 43

- 14x + 1 = 43

Using the subtraction property subtract 1 from each side of the equation

- 14x + 1 - 1 = 43 - 1

- 14x = 42

Divide both sides by - 14

[tex] \frac{ - 14x}{ - 14} = - \frac{42}{14} [/tex]

We have the final answer as

x = - 3

Hope this helps you

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