What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the
origin?
HELP

Answers

Answer 1

Answer:

The image of the point is (8, 4)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)

Let us solve the question

∵ The point is (2, 1)

x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

kx = 8

∵ ky = 4 × 1

ky = 4

The image of the point is (8, 4)


Related Questions

Peter is folding brochures for his Dad's new company. After 1 hour, he has 330 brochures left to fold. After 4 hours, he only has 90 brochures left to fold.

(From the above statements you should be able to create two ordered pairs. I will create one for you..... (1,330). Now you create the other ordered pair and continue with the problem.)

Write an equation in slope-intercept form, y=mx+b, that represents the number of brochures Peter has left to fold, , after a given number of hours, x.

Answers

Answer:

y = -80x + 410

Step-by-step explanation:

(1,330) is the first point, the other point is (4,90)

m = y2 - y1/x2 - x1

m = 90 - 330/4 - 1

m = -240/3

m = -80/1

m = -80

y - y1 = m(x - x1)

y - 330 = -80(x - 1)

y - 330 = -80x + 80

y = -80x + 80 + 330

y = -80x + 410

9x +17 =4y
Solve for slope
Solve for y-intercept​

Answers

Answer:

y=9x/4+17/4

comparing with y=mx+c

m(slope)=9/4

c(y intercept)=17/4

find the value of X round to the nearest tenth

Answers

Given:

In a right angle triangle triangle, the length of hypotenuse = 47 units.

One of the acute angle = 17°.

Opposite side of the given angle = X

To find:

The value of X. Round to the nearest tenth.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

A right triangle is crated with the help of dotted lines. In this triangle,

[tex]\sin (17^\circ)=\dfrac{X}{47}[/tex]

[tex]0.2923717=\dfrac{X}{47}[/tex]

Multiply both sides by 47.

[tex]0.2923717\times 47=X[/tex]

[tex]13.74147=X[/tex]

[tex]X\approx 13.7[/tex]

Therefore, the approximate value of X is 13.7 units.

Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3

Answers

Answer: No

Step-by-step explanation:

3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.

Hope that helped!

WEST is a parallelogram. If mze = (3x – 18)º, mzw
find the value of y and mus.
(15y + 6)°, and m2T = (2x + 6),

Answers

9514 1404 393

Answer:

  m∠W = m∠S = 126°

  m∠E = m∠T = 54°

  x = 24

  y = 8

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so we have ...

  ∠E = ∠T

  3x -18 = 2x +6

  x = 24 . . . . . . . . . add 18-2x

Then the measure of these angles (in degrees) is ...

 ∠E = ∠T = 2x+6 = 2(24) +6 = 54

__

The adjacent angle W is supplementary to either of these:

  ∠W = 180° -∠E

  15y +6 = 180 -54

  15y = 120

  y = 8

  ∠W = ∠S = 126°

Answer:

y = 8

Angle S= 126°

Step-by-step explanation:

What is the surface area?​

Answers

Answer:

0.5 X 15 X 20 = 150m squared

150 X 2 = 300m squared (that's the two triangles done)

25 x 7 = 175m squared (front)

15 X 7 = 105m squared (base)

20 X 7 = 140m squared (back)

now add them all together

300 + 175 + 105 + 140 = 720

SA = 720cm squared

Answer:How do u find the surface area of a cube?

To determine the surface area of a cube, calculate the area of one of the square sides, then multiply by 6 because there are 6 sides. This is the same as solving using the formula SA = 6s2. If you are given the surface area, you can determine the side length by working backwards.

Step-by-step explanation: I was bored

andre came up with the following puzzle. i am three years younger than my brother 2 years older than my sister. my mom's age is one less than three times my brother's age. when you add all are ages you get 87. what are our ages?
try to solve the puzzle

Answers

Answer:

Andre is: 13

Andre's brother is: 16

Andre's sister is: 11

Andre's mom is: 47

Add all their ages up and the total will be 87.

Help is for my geometry homework, could someone explain me. ☆​

Answers

Answer:

i think you subtract 67 from 137 so its 70

Step-by-step explanation:

67-137

A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are there in 3 cups of the cereal?

Answers

Divide 96 w/ 3 you get 32 multiply 32x4 you get 128 multiply 128x3 and the answer is 384

Find the equation of the line
that passes through the points
(4, 7) and (-2, 6)

Answers

y

=

1

6

x

+

19

3

equation in slope-intercept form

Step-by-step explanation:

Answer:

y = -x/6 + 19/3

Step-by-step explanation:

[tex](y - 7)( - 2 - 4) = (x - 4)(6 - 7) \\ - 6y + 42 = 4 - x \\ x - 6y = - 38 \\ or \\ y = (38 - x) \div 6[/tex]

A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes

Answers

Given :

A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.

They want to markup their prices for the customers by 30%.

To Find :

How much would the customer pay for a pair of Nikes.

Solution :

C.P = $70 .

It is given that selling price is 30% more than the S.P.

So, S.P = C.P + C.P×0.30

S.P = C.P×1.30

S.P = 70×1.30

S.P = $91.

Therefore, the customer would pay $91 for a pair.

What is the largest data when referring to data and statistics? Word Bank: Mean, Median, Mode, Range, Quartile, Interquartile Range, Minimum, Maximum *

Answers

The maximum is the largest data when referring to data and statistics.

Reason behind it: the word “max” is in the vocabulary meaning the max range within the data set.

How much would your total be if you bought 5 lbs of apples
and 4 lbs of oranges?

Answers

Answer:

So apples would cost $2.95 and oranges would cost $1.92 then you would add those two together to get $4.87.

Step-by-step explanation:

Apples you  would do 0.52×5 and get $2.95 and for oranges you  would do 0.48×4 to get $1.92, then you just add the two numbers together.  

For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)

Answers

(-2, 1) x is negative
(3, -4) x is positive
(-4, 6) x is negative
(1, -3) x is positive
hope this helps!

Create a line through point B perpendicular to and label the intersection of the perpendicular line and point D. Measure and record BD and m∠BDA. What do you know about ∆ABD and ∆BCD based on their angle measurements? (If you accidentally move point B before taking your measurements, use the "Move B back to initial position" button.)

Answers

Answer:

BD  =  8

m∠BDA  =  90°

∆ABD and ∆BCD are both right triangles, each with two known side lengths.

Step-by-step explanation:

Direct answer from PLATO so change it a bit.

Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

6 19/20 dollars

Step-by-step explanation:

Sonya had 20 dollars to spend on 3 gifts.

She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.

Gift A + Gift B + Gift C = $20

Gift C = $20 - (Gift A + Gift B)

Gift A = $8 1/4

Gift B = $4 4/5

Hence:

The amount she had left for gift C is :

Gift C = $20 - ($8 1/4 + $ 4 4/5)

Gift C = $20 - $13 1/20

Gift C = $ 6 19/20

9.(06.04 MC)
Find x value for the point that splits segment CD in half if point C is located at (-2, 4) and point D is located at (3, 7). (5 points)
5.5
05
O 0.5
03

Answers

Answer:

took the test and its 0.5

Step-by-step explanation:

.

Answer:

The correct answer is C) 0.5

Step-by-step explanation:

I took the test and this was correct!!

helppppppppppppppppp again

Answers

Answer:

hola xD

como estas?

Step-by-step explanation:

x=30

six times five =x

10 subtracted from a number is 15.

Answers

When negative five is subtracted from a number the result is 10. The number is 5.
x - (-5) = 10
x + 5 = 10
x = 10 - 5
x = 5

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

2x + 1 = 9
is that the answer ?

Answers

Answer:

yes

Step-by-step explanation:

because 9-1=8/2 equals 4 so2x4+1=9

what is 6x4x9x9x10x24 divided by 2=.........I will mark brainliest!!!!!!!

Answers

Answer:233280

Step-by-step explanation:

Answer:

233280

Step-by-step explanation:

ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest

Answers

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

Dennis read 30% of his book on Tuesday and of his book on Wednesday. If he started the book on Tuesday, what fractional part of the book did he have left to read after Wednesday?

Answers

Answer:

1/2x

Step-by-step explanation:

Dennis read 30% of his book on Tuesday and 1/5 of his book on Wednesday. If he started the book on Tuesday, what fractional part of the book did he have left to read after Wednesday?

Total pages of the book = x

Tuesday = 30%

= (30/100)x

= 3/10x

Wednesday = 1/5x

3/10x + 1/5x

= 3x+2x/10

= 5/10x

= 1/2x

what fractional part of the book did he have left to read after Wednesday

= x - 1/2x

= 2x-x/2

= x/2

= 1/2x

Martin is paid an hourly rate of d dollars per hour for the first 40 hours he works per week. He is paid one-and-a-half times his
hourly rate for each hour he works in excess of 40 hours per week.
If Martin was paid $770 for working 50 hours in one week, which equation can be used to calculate d, Martin's hourly rate of pay?

Answers

Answer:

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

Step-by-step explanation:

Given that:

Hourly rate = d

Earning to first 40 hours = 40d

Earning of more than 40 hours = 1.5d

Amount paid per week = $770

Hours worked = 50 hours

first 40 hours + 10 hours = total earned

40d + 10(1.5d) = 770

Hence,

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D

Answers

Answer:

807.21

Step-by-step explanation:

for the 1 % decrease

1/100 × 784 = 7.84

784 - 7.84 = 776.16

then 4% increase

4/100 × 776.16 = 31.0464

776.16 + 31.0464= 807.2064

in 2 Decimal places

807.21

Answer:890

Step-by-step explanation:

Which expression is equivalent to 8(5-2a)?

Answers

Answer:

I assume this is a multiple choice question however I can't see the answers. If one of the answers is 40-16a that is the correct answer.

Step-by-step explanation:

8×(5-2a)=8×5+8×-2a=40+-16a=40-16a

Use one or more exponents to write the expression.
Question 2
7 × 7 × 7 × 7

Answers

7^4 or seven to the fourth power because 7 is being multiplied by 7 when you raise it to a power.

Pl hell any thing is appreciated I will give Brainly

Answers

Answer:

First one and last one

Step-by-step explanation:

Depends if you want to get rid of the x or y first
If y choose the first on and the last one
For x choose the middle two

The U.S. Navy submarine Trieste II reached a record altitude of -10.9 kilometers on January 23, 1960. A Russian MIG-25 jet reached a record altitude of 36.3 kilometers on July 25, 1973. What is the difference in these two altitudes? *

Answers

Answer:

Heheee

Step-by-step explanation:

hehehe

Other Questions
7TH GRADE 30 POINTS FOR ONS QUESTION HELP PLEASE What made Kara angry on his father? Why Aunt Bev was angry on Kara when she found her on the road? What did Kara saw that she thought was a sign that her mother was coming back? Give contextual reference of the conversation that took place between Aunt Bev, Kara and her father In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union. Select the correct bisector of the segment.BABBBMBBD The publisher chooses to have front and back coverswith a thickness ofof an 1/3 inch instead.Write an equation that represents the NEW total width of the book, y, for every 100 pages of paper, x. Simplify the expression 6s-6s=? How is overall Flexibility related to the skill-related fitness component of Speed?will give brainliest Find three health issues. At least one of these issues must be specifically in Latin America, but the other two can exist in any country. Find five causes for health issues and describe each of them in two to three sentences in Spanish. Then, write a possible solution or a way to help solve the problem by using at least one command or use of the subjunctive tense in Spanish. I need help with this conjugate of the equation above A person practicing ergonomics would be careful to lift a heavy box with his legs rather than his back or arms.TrueFalse How does this scene set the tone of the book? Fire from the Rock 2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side "The World on Turtle's Back" is a creation myth because itfocuses on characters whom the Iroquois considered "gods."is an Iroquoian story about people and animals who talk to each other.explains how the Iroquois believe that the earth was created.describes Iroquoian social and cultural values. what happened that changed the working conditions in factories in the late 1800s and early 1900s Please help me out! Sketch the electric field around these two objects if they have the same sign of charge. Make a separate drawing showing equipotential lines around the two charges. The potential is defined to be zero at infinity. Identify the line of zero potential between the two charges, if there is one. 1. The an that is considered as one of the oldest andmost highly refined among the arts of Japan What opinion did the United States government have towards Native Americans during the Manifest Destiny era? Name two examples of poor treatment of Native Americans at the hands of the U.S. Government. In the experiment, which of the following variables should remain consistent? the types of plants used the temperature of the water and vinegar the type of soil used All of these choices are correct. what percent of the sun's energy is used by the living organism on eartha. 1% b. 10% c. 20% d. 35% e. 50%