Find the image of Y(-7,4) after a dilation centered at the origin with a scale factor of -3

F= Y(-21,12)
G=Y(12,-21)
H=Y(21,-12)
J=Y(-12,21)

Answers

Answer 1

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Y = (-7, 4)Dilation of -3

Solving

Multiply the x-value and y-value of the coordinate by -3Y = (-7 x -3, 4 x -3)Y = (21, -12)
Answer 2

The required image point is H=Y(21, -12)

What will happened with scale factor ?

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

How to find the required image point ?

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

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Related Questions

A chef needs to decorate cupcakes for a birthday party. If the chef places
2
strawberry slices on top of each cupcake, which inequality represents the possible number of cupcakes,
k
, the chef could decorate with
46
strawberry slices?

Answers

The possible number of cupcakes is less than or equal to 23

How to write inequality equation?

let

k = possible number of cupcakesNumber of strawberry slices = 46Number if strawberry slices on each cupcake = 2

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

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A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400

Answers

166,400
1,040,000 divided by 200 = 5200
32 x 5200 = 166,400

I don't know if this is correct but this is what I thought of:

Answer:

D 166,400

Step-by-step explanation:

200÷32 = 6.25

1040000 ÷ 6.25 = 166,400

Help, please! It's all in the screenshot

Answers

A:

5=2+3

-> right triangle

B:

5=4+3

-> not a right triangle

C.

36= 25+16

36= 41

-> not a right triangle

D.

49= 25+25

49=50

-> not a right triangle

E.

100= 36+ 64

100= 100

-> right triangle

HELP MEE!!! PLEASE



Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.

Answers

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

Solve for Y. Will mark branliest please help!

Answers

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

Helppp plssssss!!!!!!

Answers

Number 3 is D since Q and R are parallel to S and T which means they’re congruent.

Solve for x………………………..

Answers

Answer:

85

Step-by-step explanation:

a² + b² = c²

13² + 84² = x²

x = 85

Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]

Answers

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

Pleas help me with this and fast!

Select the two correct answers.
A number sentence with a missing digit is shown.

12._8 > 12.5

Which two numbers could be the missing digit?
2
6
9
4
0

Answers

Answer:

6 and 9

Step-by-step explanation:

Because if 6 is substituted,

12.68 > 12.5 (correct!)

And if 9 is substituted,

12.98 > 12.5 (correct!)

Which probability describes an event that is “very likely”?

A. 0.125
B. 0.9
C. 1
D. 0.50

Answers

The answer is B. 0.9
Explanation:
If you multiply all the choice with 100the results will be
A.12.5%
B.90%
C.100%
D.50
So a situation which is very likely to happen will be 90% ( 100% is not correct because it means that the situation is gonna happen and is accurate but when you say very likely to happen it means there is still a low chance for a situation not to happen)

The probability that describes an event as "very likely" is option B, 0.9.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".

Therefore, the correct option is B.

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Find the volume of the prism or compound shape.

Answers

Volume of a sphere = (4/3pi)(r^3) = [(4/3 x 3.14)(27)]in^3 = 113.04in^3.
Since there are two “half spheres”, their area is: (113.04 x 2)in^3 = 226.08in^3.

Volume of a cylinder = (pi)(r^2)(height) = [(3.14)(9)(10)]in^3 = 282.6in^3.

Total volume = (282.6 + 226.08)in^3 = 508.68in^3.

Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations

Answers

Answer:

5

Step-by-step explanation:

5

need quick help pleaseee

Answers

Answer:

1080°

Step-by-step explanation:

(n - 2) x 180

n = number of sides = 8

(8 - 2) × 180 = 1080°

Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8

Answers

the correct answers are A and D

The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30

Answers

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

What is sine function with time?

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

Learn more about the sine function with time here;

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Answer:

B

Step-by-step explanation:

Connor filled his 150 gallon pool with water in 6.25 hours. How many gallons per hour did he use?

Answers

Answer:

24 gallons per hour

Step-by-step explanation:

Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:

150/6.25

24 gallons per hour.

The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.

Answers

Answer:

3.499 cm

Step-by-step explanation:

volume of a cylinder = pi r^2 h

                             500 = pi r^2 (13)

                           sqrt ( 500/(pi * 13) = h =

The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.

Answers

Answer:

Length: 24 cm

Width: 8 cm

Explanation:

Let Width be "w"

Then Length is "3w"

=================

Perimeter of rectangle = 2(length+width)

===================================

2(3w+w) = 64(4w) = 32w = 8

So, width is 8 cm

Length: 3w ⇒ 3(8) ⇒ 24 cm

Answer:

Length = 24 cmWidth = 8 cm

Step-by-step explanation:

Given

Length = 3 x Width Perimeter = 64 cm

Solving

Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cm

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

COUNT HOW MANY THERE ARE

Step-by-step explanation:

The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality

Answers

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

y = kx

Given :

y = 55x = 1/4

Solving :

55 = k/4k = 55 x 4k = 220

At his schools book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will Henry receive?

Answers

8.50 * 0.06 = 0.51

0.51 + 8.50 = 9.01

10.00 - 9.01 = 99

He will receive 99 cents in change.

Answer:

$0.99 in change

Explanation:

To apply the sales tax, you have to multiply:

8.50*1.06=9.01

This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.

Answer 1-30 With work shown Please and Thankyou

Answers

Answer:

Find the following square and cube roots.

1. √144 2.√16 3.√289

= 12 = 4 = 17

4. √(4/81) 5. √25 6. √400

= 0.222 = 5 =20

7. 3√27 8. 3√-8 9. 3√216

= 15.588 = -2 = 6

10. 3√343 11. 3√-1000 12. 3√1

= 7 = -10 = 3

________________________________

Simplify the following square and cube roots. SHOW WORK!

13. √112

= solution,

Cube roots, square roots,

3√112 2√112

= 3√(2x2x2)x2x7 = 4√28

= 2 ∛14 = 4√7

= 4.82

14. √20

=

Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8

a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8

Answers

#a

Degree is the highest power

here it's 5

#b

Leading coefficient is 7

#c

Constant term is 8 (which doesn't contain variables)

#d

Leading term is term with highest power

5ab⁵


A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?

Answers

Answer:

-685

Step-by-step explanation:

hope I helped

The submarine ascends back up to -685 feet

Full explanation please.
Answer as soon as possible

Answers

Answer:

(- 5, 9)

Step-by-step explanation:

Given system of equations

- 2x - y = 1- 4x - y = 11

Express the first equation as

y = - 2x - 1

Substitute the value of y into second equation

- 4x - (- 2x - 1) = 11

Solve for x

- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5

Find the value of y

y = - 2(- 5) - 1 = 10 - 1 = 9

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

[tex]\implies -2x-y=1[/tex]

[tex]\implies -2x-y+y=1+y[/tex]

[tex]\implies -2x=1+y[/tex]

[tex]\implies -2x-1=1+y-1[/tex]

[tex]\implies y=-2x-1[/tex]

Substitute the expression for y into Equation 2 and solve for x:

[tex]\implies -4x-(-2x-1)=11[/tex]

[tex]\implies -4x+2x+1=11[/tex]

[tex]\implies -2x+1=11[/tex]

[tex]\implies -2x+1-1=11-1[/tex]

[tex]\implies -2x=10[/tex]

[tex]\implies -2x \div -2=10 \div -2[/tex]

[tex]\implies x=-5[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies -2(-5)-y=1[/tex]

[tex]\implies 10-y=1[/tex]

[tex]\implies 10-y+y=1+y[/tex]

[tex]\implies 10=1+y[/tex]

[tex]\implies 10-1=1+y-1[/tex]

[tex]\implies y=9[/tex]

Therefore, the solution to the given system of linear equations is (-5, 9).

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I need help with this

Answers

I think the brainlest answer here would be my answer because I need points it’s 57^2/45^4x

For each pair of points, find the slope of the line that passes through the points.
(5, 4) and (0:1)
(3,7) and (-2,2)

Answers

hello! :)

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]

Second pair:-

[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]

notes:-

If we multiply/divide a negative by a negative, we get a positive. :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Which ones are greater?

-9 ? 2
-1 ? -3
3 ? -7
-8 ? -4

Answers

Answer:

-9<2

-1>-3

3>-7

-8<-4

Explanation:

< = less than

> = more than

Answer:

2 -1 3 -4 and its always positive if you do the negitives it would be the lowst


Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j

Help mee please

Answers

Answer:  [tex]j \div 8[/tex]

We're dividing unknown number j over 8

We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]

The quotient is the result of a division problem (there may or may not be a remainder).

3 of 5
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4, 2)
Give coordinates as decimals where appropriate.

Answers

Answer:

(-3.5, 0.5)

Step-by-step explanation:

Midpoint Formula

M (x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Solving

M (x, y) = (-3 - 4 / 2, 2 - 1 / 2)M (x, y) = (-7/2, 1/2)M = (-3.5, 0.5)
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