what coordinate expression represents the coordinates of any point after dilation by any scale factor, a?

Answers

Answer 1

Answer:

(x,y) → (ax,ay) .

Step-by-step explanation:

A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.

If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).

So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of a:

(x,y) → (ax,ay) .

Answer 2

Answer:

[tex]\huge\boxed{(ax, ay)}[/tex]

Step-by-step explanation:

In order to dilate the coordinates of a point, we want to make it [tex]a[/tex] times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called mapping. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is [tex]a[/tex] (the scale factor) times bigger than the original.

So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.

Hope this helped!


Related Questions

Point O is between points Mand N on line segment MN. O is the midpoint of line segment MN if
ON = NM
OM = NM
ON + OM = MN
ON = OM

Answers

Diagram:
M------------O-------------N
................. ^ midpoint
Obviously if O is the *mid*point, then it is exactly halfway between M and N. That also means it has bisected the segment into two equal parts.
On one side you have MO (or OM, if you like)
On the other side you have ON.
In order for O to be the midpoint:
ON = OM

What is the value of x?
4 3
11
36
16
0 17/
7
16

Answers

Answer:..Step-by-step explanation:

yw + yq = r
What is y equal to?

Answers

Answer:[tex]y=\frac{x}{w+q}[/tex]

Step-by-step explanation:

What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22?


91


43


104

Answers

Answer:

Is there a missing number? If there isn't the answer will be 43.

Answer:

the answer will be 43 np

find the initial value seventeen years from now, Ms. speedis car, which is depreciating at 20% per year, will be worth $500

Answers

Answer:

Around 22200 dollars

Step-by-step explanation:

Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.

3
What is the common multiplier in the proportion 5 - 20
?
10
C. 4
d. 3
Please select the best answer from the choices provided

Answers

Answer:

C. 4

Step-by-step explanation:


Which statement correctly describes a characteristic that a scientific
measuring tool should have?
A. To be accurate, it must be able to give consistent measurements
of a quantity
B. To be accurate, it must be able to make measurements using very
small units.
C. To be accurate, it must be able to make measurements that are
close to the actual value.
D. To be accurate, it must be able to make measurements using very
large units.
M

Answers

Answer:

I want to say your answer is option B.

Characteristics of a scientific measuring tool consist of:

Measure Ability

Usability

Validity

Reliability

Practicability

Essentially the measuring tool needs to be accurate.

Looking at the options, the answer that fulfills these requirements is Option A.

Best of Luck!

11. Susan was given the following number to convert to scientific notation: 12,050,000
Her answer was 1.25 x 107, but it was marked wrong on her paper. Why?

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

3(-6+8)=(3x-6)+(3x8)

Answers

Answer:

= 6

Step-by-step explanation:

= 3 (-6 + 8)

= (3 * -6) + (3 * 8)

= -18 + 24

= 6

Answer:

[tex]x = 12[/tex]

the answer is attached to the picture

hope this helps you.

Brainliest plzz

heeeelllllpppppp heyyy i need help asap and please try your best and solve the problem out it would be greatly appreciated because i have asked 5 questions already and there all wrong and no explanation at all and it needs to have ^for example, this is an exmample example 10^-1

Answers

Answer:

[tex] {10}^{ - 14} [/tex]

Step-by-step explanation:

[tex] \huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}} [/tex]

10^-9/10^5

Simplify the expression.
Or

Reduce the expression, if possible, by cancelling the common factors.

Same answer given for both ^^

Exact form:

1/100000000000000 (14 -zeros)

Decimal form:

1 • 10^-14


What is £36 in the ratio 2:1:1

Answers

Answer:

$18, $9, $9

Step-by-step explanation:

First get the sum of all the ratios 2+1+1 =4

Divide $36 by the sum of the ratios $36/4 =$9

Multiply each ratio by $9 to get each of the amount.

I. 2x$9= $18

ii. 1x$9= $9

Iii. 1x $9 = $9

f(x)=4x-5 has been reflected over the x-axis. What is the new function, g(x)?
(1 Point)
g(x)=-4x+5
g(x)=-4x-5
g(x)=4x+5
g(x)=5x-4

Answers

Answer: 4x+5

Step-by-step explanation: it has been reflected over the x- axis

plzz help me with this

Answers

Answer:

84

Step-by-step explanation:

4*6*7/2=84

If 5 km on a map equals 13 miles, then
how many km will 156 miles equal?

PLEASE HELP ME

Answers

Answer:

60 kilometers

Step-by-step explanation:

(3,-7) and (4,0) distance formula

Answers

Answer: approximately 7.07

Step-by-step explanation:

The distance formula is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Since we are given teo points, we can plug them in and solve.

[tex]d=\sqrt{(4-3)^2+(0-(-7))^2}[/tex]       [parenthesis]

[tex]d=\sqrt{(1)^2+(7)^2}[/tex]                         [exponent]

[tex]d=\sqrt{1+49}[/tex]                                [add]

[tex]d=\sqrt{50}[/tex]                                      [square root]

[tex]d=7.07[/tex]

The distance is approximately 7.07.

four times the sum of a number and ten

Answers

Answer:

0.75=n

Step-by-step explanation:

10=4n+7

-7        -7

3=4n

divide by four

0.75=n

your welcome :)

Answer:
0.75=n

Explanation:Because 10=4n+7 and 3=4n which means that 0.75=N

Solve for h. -18+7h>12+9h

Answers

Answer:

[tex]h<-15[/tex]

Step-by-step explanation:

[tex]-18+7h>12+9h[/tex]

Add 18 to both sides:

[tex]-18+7h+18>12+9h+18[/tex]

[tex]7h>9h+30[/tex]

Subtract 9h from both sides:

[tex]7h>9h+30[/tex]

[tex]-2h>30[/tex]

Multiply both sides by -1 and flip the symbol:

[tex]\left(-2h\right)\left(-1\right)<30\left(-1\right)[/tex]

[tex]2h<-30[/tex]

Divide both sides by 2:

[tex]\frac{2h}{2}<\frac{-30}{2}[/tex]

[tex]h<-15[/tex]

Find the distance between X(-9,3) and Y(6,-4)

Answers

Answer:

[tex]d=\sqrt{274}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}[/tex]

plz help!!!! (click on the pic)

Answers

Answer:

x^2+8x

Step-by-step explanation:

instructions included above :)

Answer....

[tex] \boxed{ {x}^{2} + 8x}[/tex]

[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]

(6x²+10x-1)+(-5x²-2x+1)

=6x²+10x-1-5x²-2x+1

=6x²-5x²+10x-2x-1+1

=x²+8x

population of 5 places in India in Indian and international system pls answer very important​

Answers

Answer:

84,43,675 - Eighty Four Lakh Forty Three Thousand Six Hundred Seventy Five.

Step-by-step explanation:

Through; (4,-1), parallel to y=-2/5x+3​

Answers

Step-by-step explanation:

I'm sorry but what is question? You're just saying a coordinate and a line equation.

5. Solve for x:
| 5x – 4 =16

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

The original temperature is 29.9 the temperature decreases by 8.7 and then again by 17.8 what is the final temperature?

Answers

Answer:

the final temperature is 39.0

what is the Greatest Common Factor (GCF) between two
numbers is
Please help me

Answers

The gcf of 40 & 48 is 8. You could use thoses two numbers, You welcome!

How do you do #14abc?

Answers

Answer:

220 10 4

Step-by-step explanation:

Solve the equation. Chec)
5m - l = 4m + 5

Answers

Answer:

m=6

Step-by-step explanation:

M=6

5m-4mv5+1

M=5+1

M=6

Brainliest?

I need answer to all of them plz

Answers

Answer:

1. X=13

2. X=2

3. X=12

4. X=5

5. X=1

6. X=33

7. X= - 2

8.X= - 6

9.X=3

10.X=1

[50pts] What is the volume of this Cone? (Rounded to the nearest hundredth)

Answers

Answer:

Step-by-step explanation:

where is the photo?

Answer:

536.17

Step-by-step explanation:

In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?

Answers

Answer: it’s 60 and 36

Step-by-step explanation:

I need help asap please​

Answers

Answer:

The answer is C. Its graph goes through the origin

Step-by-step explanation:

I hope this helps you :)

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