What is the image of (4,−8) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer 1

Answer:

(1,-2)

Step-by-step explanation:

you just have to multiply the coordinates by 1/4

4x1/4=1

-8x1/4=-2

so the new coordinates are (1,-2)

Answer 2

The image of the given point is (1,-2).

Important information:

The coordinates of the point are (4,-8).Point is dilated by a scale factor of [tex]\dfrac{1}{4}[/tex] centered at the origin.Dilation:

If a point is dilated by a scale factor of [tex]k[/tex] centered at the origin, then the rule of dilation is defined as:

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

Using the above rule, we get

[tex](4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)[/tex]

[tex](4,-8)\to \left(1,-2\right)[/tex]

Therefore, the image of the given point is (1,-2).

Find out more about 'Dilation' here:

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Related Questions

only correct answer ...
not for points .
with explaination !!!!.
the diameter of rectangular box are in the ratio 2:3:5 and difference between the cost of covering with sheet of paper at the rate of ₹4 and ₹4.50 per m² is 416 . Find the dimension of box .​

Answers

Answer: 166.4/249.6/416

Step-by-step explanation:

pls help!! what is x

Answers

Answer:

x is a variable to fill in something that is unknown. its like a question mark

Step-by-step explanation:

What's true about a translation

Answers

Answer:

A translation moves every point of a figure or a space by the same amount in a given direction. The reflection of a red shape against an axis followed by a reflection of the resulting green shape against a second axis parallel to the first one results in a total motion which is a translation of the red shape to the position of the blue shape.

2.1n - 5.31 = 18

Pls help please show work

Answers

Answer:

n= approx. 6.04

Step-by-step explanation:

18-5.31=12.69

12.69/ 2.1= about 6.04

Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12

Answers

Answer:

C. 11/4

Step-by-step explanation:

We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.

Then add the 3/4 to the 8/4 and we get 11/4.

C. 11/4

What is the value of X?

Please hurry if you can!

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

[tex]c^2=a^2+b^2\\ \\ c^2=60^2+32^2\\ \\ c^2=4624\\ \\ x=\sqrt{4624}\\ \\ x=68[/tex]

use the pythagorean theorem to figure this out:

a^2 + b^2 = c^2

plug in the values:

60^2 + 32^2 = x^2

simplify:

3600 + 1024 = x^2
4624 = x^2
√4624 = x
68 = x

the answer is x = 68

Find the vertex of the parabola y = 2x2 + 10x + 8

Answers

Answer:

The vertex is -5/2 and -9/2

Step-by-step explanation:

I looked it up on math

way

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.

Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.

Further, the vertex of the parabola can be written as,

h =−b/2a

h = -10 / 2(2)

h = -10/4

h = -2.5

k = -(b² - 4ac) / 4a

k = -[10² - 4(2)(8)] / 4(2)

k = (100 - 64) / 8

k = -36/8

k = -4.5

Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

Learn more about Quadratic Equations:

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solve for x and y 5x + 3y=35, 2x+4y=28​

Answers

The answer would be:

y = 5

x = 4

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

5x+3y=35;2x+4y=28

Step: Solve 5x+3y=35 for x:

5x+3y=35

5x+3y+−3y=35+−3y(Add -3y to both sides)

5x=−3y+35

5x/ 5 = −3y+35/ 5  (Divide both sides by 5)

Step: Substitute  −3/ 5 y+7 for x in 2x+4y=28:

2x+4y=28

2( −3/ 5 y+7)+4y=28

14/ 5 y+14=28   (Simplify both sides of the equation)

14/ 5 y+14+−14=28+−14   (Add -14 to both sides)

14/ 5 y=14

14/ 5 y/ 14/ 5 = 14/ 14/ 5

(Divide both sides by 14/5)

y=5

Step: Substitute 5 for y in x= −3/ 5 y+7:

x= −3/ 5 y+7

x= −3/ 5 (5)+7

x=4  (Simplify both sides of the equation)

Answer:

x=4 and y=5

 

 

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

Please and Thank You ​

Answers

i think the answer would be a

Can someone explain just one of the three

Answers

I’m going to use the second one to explain

-8j + 14 = -2(4j-7)

So you distribute -2 into the parentheses on the right side, and you get -8j + 14, which is the same as the left side. Therefore, it is a true statement. It turns from a - to a + because it is two negative numbers multiplying by each other.

Find the product of (1.1x + 2.7y) (1.1x - 2.7y)​

Answers

Step-by-step explanation:

Please refer to the attachment

pleAseeeeeeeeee can someone help me

Answers

Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

i believe 102.4 is the answer

A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x​, where x is the number of 11​-year ​periods, models the population growth. How many foxes will there be after 33 ​years?

Answers

Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

What type of line segment is represented by the dotted line.
Please help me on this question, it is for geometry.

Answers

Answer: Altitude

Step-by-step explanation:

It's an altitude because it creates a 90° angle (perpendicular to the base)

Need help will give you the brainliest

Answers

Answer:

2(9r) and 18r are equivalent

1897 rounded to the nearest 1000

Answers

Answer:

200

Step-by-step explanation:

2000 because 8 is big so you are able to round it to become 2 in the 1000

2000 because 8 is big so you are able to round it to become 2 in the 1000

can you help me on part D? dont use advanced math please

Answers

Answer:

A. the first quartile represents the median of the lower half of the data set

B. the third quartile represents the median of the upper half of the data set

Step-by-step explanation:

please...In your own words, what is a radical expression?

Answers

A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. ... Radical inequality an inequality containing a radical expression with the variable in the radicand.

Step-by-step explanation:

Hope this helps!

-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?

A)The scale factor is 0.25.

B)The scale factor is 4.

C)The scale factor is 4.35.

D)The scale factor is 7.25.

Answers

Answer:

C

Step-by-step explanation:

5.8 - 4.35= 1.45

Two out of every 12 students in a class say history is their favourite subject. There are 24 students in the class. How many students like history best?

Answers

ANSWER: 4
2/12 would equal to 4/24

sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
B.14
C.7
D.4

Answers

Answer:

4

Step-by-step explanation:

Because the common multiple of 6 and 8 is 24 which is the amount of pencils.

1/8 x 3 equals 24 (3 because 3 times 8 gives 24)

1/6 x 4 equals 24 (4 because 4 times 6 gives 24)

What is the area of the figure below?

Answers

Answer:

104

Explanation:

1. Split the figure by the line the larger portion creates.

2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.

3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.

4. Now, we simply do 6 · 8 = 48. Almost there!

5. Finally, add the values of the left side and the right side (48 + 56 = 104)

6. YOUR ANSWER IS 104 cm squared.

The graph shows the number of cycles of a crosswalk signal during the day and during the night.

Answers

Answer:

Step-by-step explanation:

a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.

For day periods,

Let the equation is, y = mx

Since, this line passes through (2, 80),

80 = 2m

m = 40

Therefore, equation for the day periods will be,

y = 40x

For night periods,

Let the equation is, y = mx

Since, this lines passes through (3, 90),

90 = 3m

m = 30

Therefore, equation of the line is,

y = 30x

b). For x = 6 hours,

Number of cycles in the day (y) = 40 × 6 = 240

Number of cycles in the night (y) = 30 × 6 = 180

Therefore, difference in the cycles in day and night = 240 - 180 = 60

What is the number? I did many ways but i didn't found it, please guys help me with it. ​

Answers

Answer:

A). 15

B). -1.2

Step-by-step explanation:

A). [10(x+3)]-20 = 160

10x+30-20 = 160

10x+10 = 160

10x = 160-10

10x = 150

x = 150/10

x = 15

B). 5{[4(8+(5x))]-9} = 85

5(32+20x+9) = 85

5(32+9+20x) = 85

5(41+20x) = 85

205+100x = 85

100x = 85-205

100x = -120

100x/100 = -120/100

x = -1.2

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

HOPE THIS HELPS!!!

.Answer pls. question in photo

Answers

Answer:

+7=36

Step-by-step explanation:

Answer:56

Step-by-step explanation:


A recipe calls for 1/4
cup of milk for every 1 1/2
cups of flour. How many cups of flour will you need for 1/2
cup of milk?

Answers

Answer:

3 cups flour

Step-by-step explanation:

set up a proportion and cross-multiply:

1/4 = 1/2

3/2      f

1/4f = 3/4

4f = 12

f = 3

Answer:

3 cups

Step-by-step explanation

basically if 1/4 cup of milk is for 1 1/2 cups of flour ------ 1/2 cup is twice the amount that a quarter cup is because a 1/4 cup + a 1/4 cup = 1/2 cup so you double the amount of flour too and 1 1/2 + 1 1/2 is 3 cups of flour.

1/4 + 1/4 = 1/2 (milk)

1 1/2 + 1/12 = 3 (flour)

What numbers can you multiply to get 14 and add to get -5?

Answers

Answer:

-2 and 7

Step-by-step explanation:

2×7=14

2-7=-5

this is what I got.

PLASSSSS HURRYRYYY!!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

Since 36 is a multiple of 6, therefore [tex]6^{2}[/tex] = 36.

FIND THE equation of the linear function represented by the table below in slope intercept form

Answers

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute these points into this formula to find the slope of this linear function.

[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]

Simplify and solve for the slope m.

[tex]\displaystyle m=\frac{-2}{1} =-2[/tex]

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = -2 and the point (1, -3) into this equation.

[tex]y-(-3)=-2(x-1)[/tex]

Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].

[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]

The equation of the linear function represented by the table is y = -2x - 1.

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: .

The equation of the linear function represented by the table is y = -2x - 1.

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