Multiplying a measure
by a scale to produce a
reduced or enlarged
measure

Answers

Answer 1

Answer:

we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x, 2y)

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

(x, y) → (½x, ½y )

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent


Related Questions

What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?

Group of answer choices

Answers

Answer:

54

Step-by-step explanation:

How many months does it take to earn $180 in interest on an investment of the principal is $5000 and the interest rate is 2%?

Answers

Answer:

months = 6.67

Step-by-step explanation:

time in years = interest / (principal amount x rate)

time in y = 180 / (5000 x 0.02)

time in y = 180 / 100

time in months = 12 / 1.8

months = 6.67

Answer:69

Step-by-step explanation:

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Evaluate the expression 2(n + 1) - 5 using n=4

Answers

Answer:

5

Step-by-step explanation:

2(4+1)-5

2(5)-5

10-5

5

Please help me with this question



pls, I really need help

Answers

Answer: x=7, y=-23
(7,-23)

Explanation:

Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)

Answers

Answer:

y - 4 = -5(x - -6)

Step-by-step explanation:

its correct

Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False

Answers

Answer:

a. true

b. false

Step-by-step explanation:


Draw JKL on the coordinate plane given the above information.
translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.

Answers

Step-by-step explanation:

Hope this helps, happy learning!!!

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form.

Depending on the scale factor, the object's size can be raised or lowered.

The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.

F ( -1, 0)

G (1, 0)

H ( -1, 1)

Thus, counterclockwise 90°

F' ( 0, 1)

G' (0, -1)

H' ( -1, -1)

Scale factor = 2

Then

F'' ( 0, 2)

G'' (0, -2)

H'' ( -2, -2)

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

To learn more about dilation, refer to;

brainly.com/question/13176891.

#SPJ2

How many solutions does this equation have?
-4 + 19 - 7f = -15 - 7f
no solution
one solution
infinitely many solutions

Answers

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?

Answers

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

how do i do rotations​

Answers

A rotation is a change in orientation. It does not change in size. I recommend you watch “rotations (easier method) 90 180 270” by the you*tuber Marios math tutoring. I hope you all the best!

If the original quantity is 17 and the new quantity is 33, estimate the percent change.

Answers

Answer:

The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.

Step-by-step explanation:

calculator lol

ILL MARK U BRAINLIEST!!!

Answers

Answer:

20

Step-by-step explanation:

first take out the cost of the cup 31.75-6.75=25

then divide by the cost of the refills 25/1.25=20

hope this helps :)

Need help help help help

Answers

Answer:18 6/7

Step-by-step explanation:

Answer:

the answer is

=18 6/7

Step-by-step explanation:

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

Find the series in A.P whose sum to n terms is n*(n+2)​

Answers

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

[tex]S_{n}[/tex] = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

If -3c/4=24, what is the value of c/2?

Answers

Answer: look it up lol

Step-by-step explanation:

2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.

Answers

Answer:

Area: T = 18

a.  The triangle area using Heron's formula: T=  sqrt(s(s−a)(s−b)(s−c) )

​b. 2[tex]\sqrt{10}[/tex]  

c. h = 5.69

d. T = 18

 

Step-by-step explanation:

a. T=  sqrt(s(s−a)(s−b)(s−c) )

T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )

​T=  sqrt(324 )

​T =18

b. We compute the base from coordinates using the Pythagorean theorem

c=  sqrt( ((−2−4)^2)+ ((1−3) ^2) )

c= sqrt(40) = 2sqrt(10)

c. Calculate the heights of the triangle from its area

 

​  

 

Can someone help. I need it ASAP

Answers

Answer/Step-by-step explanation:

10 is between the perfect squares of 9(3) and 16(4).

This means the square root of 10 is between 3 and 4.

The square root of 10 is about 3.162

So, it is less than 5.

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Answers

Answer:

5.83

Step-by-step explanation:

70 / 12

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

#SPJ3

At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels

Answers

Answer:

20

Step-by-step explanation:

Multiple Choice An equation of the line
whose slope is 3 and whose y-intercept is 8 is
? ?
A y = 8x + 3
C y = – 3x + 8
Ey = 3x - 8
B y = 3x + 8
D y = - 3x – 8

Answers

Answer:

y = 3x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 and c = 8 , thus

y = 3x + 8 ← equation of line

>
X
1. Explain why the slope of line a is
6
13
12
11

Answers

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

What do variables and function have in common

Answers

A function is a mathematical relationship in which the values of a single dependent variable are determined by the values of one or more independent variables. Function means the dependent variable is determined by the independent variable(s)

the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region​

Answers

There is a typo in the question. Where it reads 'state of' should read 'shaded'

Answer:

[tex]A=27.47\ mm^2[/tex]

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, its area can be calculated as follows:

[tex]A=\pi r^2[/tex]

The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.

We already know the area of the large circle:

[tex]A_l=28.26\ mm^2[/tex]

Now we calculate the area of the small circle of radius r=0.5 mm:

[tex]A_s=\pi\cdot 0.5^2[/tex]

Calculating:

[tex]A_s=0.79\ mm^2[/tex]

The area of the shaded region is:

[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]

[tex]\mathbf{A=27.47\ mm^2}[/tex]

Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met

Answers

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start

What is the solution of 6d + 6 - 4d = 12 ?

Answers

D=3 is the answer for this equation
d=3

if u were to check
6(3)+6-4(3)=12
18+6-12=12
24-12=12
12=12

find the length of an arc of 40° in a circle with an 8 inch radius​

Answers

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) Yes because the slope, 10x, is constant

2) Yes for every 1 hour of baby sitting $10 dollars is earned.

Consider Brainliest!

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