+
Select the correct answer.
AABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image AABC. If A=(2, 2), B=(4, 3), and C= (6, 3).
what is the length of B'C'?
OA
OB.
OC
OD.
3 units
4 units
2 units
1 unit

Answers

Answer 1

Answer:

  (d)  1 unit

Step-by-step explanation:

The length of the dilated line segment is the product of the dilation factor and the length of the original line segment. It can also be computed as the length of the segment between the dilated coordinates.

Original line segment

The length of the original horizontal line segment BC is the difference of its x-coordinates:

  BC = 6 -4 = 2 . . . . units

(We know the segment is horizontal because the y-coordinates of the end points are the same.)

Dilated segment

Multiplying the length of the original segment by the dilation factor, we find the length of B'C':

  B'C' = dilation factor × BC

  B'C' = 0.5×(2 units)

  B'C' = 1 unit

Dilated Coordinates

The dilation factor multiplies each coordinate value:

  B' = 0.5B = 0.5(4, 3) = (2, 1.5)

  C' = 0.5C = 0.5(6, 3) = (3, 1.5)

The length of B'C' is the difference of x-coordinates: 3 -2 = 1 unit.


Related Questions

Your family got a coupon for 35% off at Red Robin. Your bill comes to $45.00 before you use the coupon. Sales tax on the discounted meal is calculated at 8%. You then leave a 15% tip based on the original cost of the meal. How much will dinner and tip cost?

Answers

Answer: $38.34

Step-by-step explanation:

Original bill total: $45

35% discount: $15.75

subtotal: $29.25

sales tax: 8% of $29.25: $2.34

bill for meal: $29.25 + $2.34 = $31.59

Tip: 15% of original cost of meal: 15% of $45: $6.75

TOTAL COST: $31.59 + $6.75 = $38.34

Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON WOULD SAVE KYLE THE MOST MONEY AND SUPPORT YOUR THINKING WITH MATHEMATICS

Answers

Answer:

Kyle would save more using his 15% off of $1000 coupon.

Explanation:

15 ÷ 100 • 1000 = 150

1000 - 150 = $850

$150 is the amount the 15% coupon took off.

$850 is the amount Kyle will pay.

vs.

1000 - 80 = $920

Analyze the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas. Explain your answer in 1–2 sentences

25 POINTS!

Answers

Answer:

Step-by-step explanation:

Firstly, we should begin to know what leveling off is.

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.

There is no continuous increase for the rotifers.

We have given that the scatter diagram

And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas

What is the leveling off?

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers.

That can be explained by carrying capacity.

The flask has limited space.

Therefore, there is no continuous increase for the rotifers.

To learn more about the scatter graph visit:

https://brainly.com/question/6592115

A certain forest covers an area of 4000km^2. Suppose that each year this area decreases by 3.5%. What will the area be after 9 years?

Answers

Simply will say
4000(3.5%) = 140 km^2
So each year will decrease by 140km^2
To find till 9th years it will be
4000-(140*9)=2740 km^2
Area after 9 years is 2740 km^2

Which answer choice correctly identifies the missing information in the problem? Joey and Kirk are in the 6th grade. Kirk is 5 feet 4 inches tall. Joey is 4 feet 8 inches tall. How much taller is Kirk than Joey?

Answers

Answer:Kirk is taller than Joey by 8 inches

Step-by-step explanation:

Step 1

Kirk's height is given as  =5 feet 4 inches tall.

Joey's  height 4 feet 8 inches tall

Difference in height = 5 feet 4 inches

                                    - 4 feet   8 inches

                                 =

Step 2

Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet,  which is equivalent to 12 inches and add to inches  so it becomes

4 feet  (12+4)inches     =                   4 feet     16inches

- 4 feet   8 inches                             - 4 feet   8 inches

                                                     =                   8 inches

Therefore Kirk is taller than Joey by 8 inches

prove that...

sin A = Cos (90°- A)​

Answers

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for point Q that is located two-thirds the distance from point P to point R.

4.9
4.7
2.5
2.3

Answers

Answer:

The answer is 4.7

Step-by-step explanation:

[tex]y = \frac{l1y1 + l2y2}{l1 + l2} \\ y = \frac{ \frac{2}{3} \times 7 + \frac{1}{3} \times 0 }{ \frac{2}{3} + \frac{1}{3} } \\ y = \frac{14}{3} = 4.7[/tex]

Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day. How long will 4 cups of dog food
last?

Answers

Answer: 8 days

Step-by-step explanation:  Get out your calculator. Put in 1/2, did you get .5? You should've gotten .5. Now if you put in 4 / .5, then you'll get 8. Seems pretty simple I guess. Lmk if this helped you.

The dog food last for 8 days.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day.

Total cups of food= 4

So, 4 cups of dog food lasts

= 4/ (1/2)

= 4 x2

= 8

Hence, the dog food last for 8 days.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

What is the lowest common multiple of 12 and 15?

Answers

Answer:

60

Step-by-step explanation:

LCM of 12 and 15

First Method: Listing the multiples

First, write the common multiples of all three numbers.

Common Multiples of 12: 12,24,36,48,60,72,….

Common Multiples of 15: 15, 30, 45, 60, 75,…

Hence, the Least common multiple of 12 and 15 is 60.

Second method: By prime factorisation

Let us write the prime factors of the two numbers individually.

12 = 2 x 2 x 3

15= 3 x 5

Multiply each factor the maximum number of times it occurs in either number

= 2 X 2 X 3 X 5

= 60

LCM of 12 and 15= 60

Answer

LCM of 12 and 15= 60

Hope this helps :)

Answer:

60

Step-by-step explanation:

we have to use prime factorisation method to obtain the answer.

12 and 15 have LCM 60.

NEED HELP ANSWER CORRECTLY PLS FOR A GRADE GIVING BRAINLIEST

Answers

Answer:

im pretty sure is c. but not 100 percent

HELP THIS IS DUE TODAY.

Answers

Answer:

You can try for the first pic x = 2 and 6 and you can try the second pic x = 0 and 3 (The ones that I put missing). If you need any help in them, I will help you out but try half of them by yourself. Hopw this helps, thank you :) !!

Look at the third picture. Maybe that would help you.

A flagpole casts a shadow 16 feet long.
Shanika is standing near the pole. Her
shadow is 4 feet long. Shanika's height is 5
feet. How tall is the flagpole?

Answers

Step-by-step explanation:

Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

By similar triangles:

[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]

The height of the pole is 20ft.

HELP PLEASE ILL GIVE BRAINIEST!!
a. What is f(2):
b. What is f(-4):
c. Find x when f(x) = 4 x=

Answers

Answer:

f(2) is -3

f(-4) is 2

for the last one, x = -2

Step-by-step explanation:

How is the finance charge calculated for credit cards?

A. APR times Remaining Balance

B. APR times Average Daily Balance

C. MPR times Remaining Balance

D. MPR times Average Daily Balance

Answers

Answer:

A. APR times Remaining Balance

Answer:

Answer is B I believe

Step-by-step explanation:

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR).

Convert into log form
a^b = c

Answers

Answer:

(c) ( c ) . logb(a)=c log b

Step-by-step explanation:

please help asap!!!!

Answers

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

what value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?

Answers

Answer:

x= -56..................

PLEASE HELP WITH THIS, IMAGE ATTACHED.

Answers

Answer:

A≈837.77 since it's only one decimal place A≈837.8

Step-by-step explanation:

Formula: A = πr²

Yapın.............. Bir sürpriz.. yardımcı olur musunuz ​

Answers

Answer:

parmak izlerimiz birbirinden farklıdır.

bireysel farklılıklara saygı duyulması insanlar birbirlerini asalanaya başlar ülkede iç savaş çıkabilir mesela

Please help me with this..

Answers

Answer:

Step-by-step explanation:

1.one solution

2.infinitely

3.one solution

4.one solution

5.no solution

simplify 17/20-1/5 explain your answer​

Answers

Answer:

13/20

Step-by-step explanation:

Find a same denominator.

17/20 - 1/5 = 17/20 - 4/20

= 13/20

Please help me
And I need the correct answer

Answers

The answer is A, 9 hours

Distance = rate of speed • time
765 = 85 • t
765/85 = t
9 = t
As you probably know, you can switch and mismatch the different terms in equations.


So since the equation for distance is d = r (or speed (s)) multiplied by time.


We can move speed to the other side of the equation by dividing it out.


I’ll be putting rate as speed instead btw.

d/s = t

Now we got the equation for time.



Just substitute and we get 765/85 = time, which is 9.


Answer: A. 9 hours

Helppppp, I don’t knowwww

Answers

Answer:

1 and 4 and 2

Step-by-step explanation:

I need help with the translation!

Answers

Answer:

Step-by-step explanation:

All points C, D, E, F are translated 4 units to the right and 4 units down.

Can someone help me plz

Answers

Answer:

what are you looking for in this picture.tell me and ill answer in tbe coments

Step-by-step explanation:

if the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?

Answers

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

[tex] P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ) [/tex]

[tex] P(\triangle ABC) = \frac{1}{2} \times 56 [/tex]

[tex] P(\triangle ABC) = 28\: cm [/tex]

the area if a rectangle is 7 ¼ with leangth 2⁵/⁷ calculate its breadth​

Answers

Answer:

Can u explain it one more time their is alot of spelling errors

Solving proportions-what’s 3 over 7 and 12 over 21? do the ratios from a proportion

Answers

Answer:

3:7 and 12:21

6:14

9:21

12:28

No they do not for a proportion

Step-by-step explanation:

need help with my IXL

Answers

Answer:

TU= 4 mm

Step-by-step explanation:

a^2+b^2=c^2

3^2+b^2=5^2

9+b^2=25

b^2=16

b=4

PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!

1. a closed figure made up of line segments

2. any face that is not a base

3. three-dimensional figure with a polygon base and triangles for all other faces

4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces

5. the perpendicular width of a plane figure

6. a two-dimensional representation of a three-dimensional shape when unfolded

7. a plane figure that is one side of a solid figure

8. a prism with a rectangular base and right angles between the base and sides

9. geometric figure with three dimensions

10. a prism with a triangular base and right angles between the base and sides

Answers

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

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