Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.

Triangle A'B'C' Is The Result Of Dilating ABC About Point P By A Scale Factor Of 2.

Answers

Answer 1

Answer:

Step-by-step explanation:

use formula

(x,y)=(kx,ky)   (k means scale factor)

A(1,1)=A'(1*2,1*2+

A'=(2,2)

B(3,1)=B'(3*2,1*2)

B'=(6,2)

C(3,-3)=C'(3*2,-3*2)

C'=(6,-6)

Answer 2

The given statements are,

1. BC and B'C' are the same line, is true.

And, 2. AB and A'B' are both parallel to x - axis, is true.

Here,

Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.

What is dilation?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now,

For finding the points of A', B', C' we used formula,

(x, y) = (kx, ky)

Where k is scalar factor.

Here, A = ( 1, 1 ) ⇒A' = ( 2X1, 2X1) = ( 2, 2 )

And, B = ( 3, 1 ) ⇒ B' = ( 2X3, 2X1 ) = ( 6, 2 )

And, C = ( 3, -3 ) ⇒C' = ( 2X3, 2X-3 ) = ( 6 , -6 )

Hence, clearly by all points,

BC and B'C' are on the same line.

And, AB and A'B' are both parallel to x - axis.

Both are true.

Learn more about the dilation visit:

https://brainly.in/question/3154626

#SPJ2


Related Questions

4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?

Answers

Answer:

936 girls at the school

Step-by-step explanation:

4/7 of 2184 = 1248

2184-1248 = 936

Happy learning! Please mark brainliest!

--Applepi101

An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.

Answers

Answer: the first point would be at (1, 1.85) then it would decrease

Step-by-step explanation:

A phone company charged $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, which value is the closest approximation to the total amount you will pay for phone service?

A. $2,700
B. $2,900
C. $3,400
D. $4,400

Answers

3,400, step by step explanation:
It’s C - first you multiply 67x24(2years) and then you find the multiplication of 14x147.5(how much gb used by the cost of one gb) and then you add the products of the 2 equations. It should look like this.
(67x24) + (14x147.5) = 3,673
They said an approximation to the total amount and C will be the closest one

what is the answer to this math question?

Answers

Answer:

answer is 230

Step-by-step explanation:

they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.

Answer:

230.  

Step-by-step explanation:

You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.  

CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?

Answers

If AM=10, then AC=10 because both are radii. TC is a diameter so that’ll just be the radius doubled. TC=20!

Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?

Answers

Answer:

2 boys and 3 girls were selected for the finals.

There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.

We want to find the probability that a boy wins the prize B.

So here we have two cases:

A girl wins the first prize, A, and a boy the prize B.

The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:

p = 3/5

Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).

q = 2/4

The joint probability is:

P = p*q = (3/5)*(2/4) = 6/20 = 3/10

Now we have the other case, where a boy wins the prize A and the other boy wins prize B.

The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:

p = 2/5

The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:

q = 1/4

The joint probability is:

P' = p*q = (2/5)*(1/4) = 2/20 = 1/10

The total probability is the sum of the probabilities for the two cases, this is:

Probability = 1/10 + 3/10 = 4/10

(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)

Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35

Answers

Answer:

its 10 because chu papi munenu

Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?

Answers

Answer:

6

Step-by-step explanation:

An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:

32 x 1 = 32

2 x 16 = 32

4 x 8 = 32

8 x 4 = 32

16 x 2 = 32

1 x 32 = 32

There are 6 ways for Evan to create a array of 32 miniature cars.

~

The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals

Answers

Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

Rationalize the denominator and simplily.​

Answers

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]

             [tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]

A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Find the area of the shaded sector

Answers

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

If 3 is added to three quarters of certain number,the result is 30.Find the original number If 3 is added to three quarters of a certain number, the result is 30. Find the original number

Answers

Answer:

[tex]x=36[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]3+\frac{3}{4}x=30[/tex]

Therefore

Making x subject

 [tex]x=\frac{4}{3}(30-3)[/tex]

 [tex]x=\frac{4}{3}(27)[/tex]

 [tex]x=36[/tex]

pq(r²-1)-r(p²+q²) factorize​

Answers

Answer:

pqr2-pq-p2r-rq2 is the answer

Answer:

Step-by-step explanation:

pq(r^2 - 1) - r(p^2 + q^2)

multiply the brackets

=pq*r^2 - pq*1 - r*p^2 - r*q^2

=pqr^2 - pq - rp^2 - rq^2

=pqr^2 -rp^2 -rq^2 -pq

if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept

Answers

Answer:

y-intercept (0, 8)

Step-by-step explanation:

Plug in (1,4) --> (x,y) and solve for b (y-intercept):

y = -4x + b

4 = -4(1) + b

4 = -4 + b

b = 8

Therefore the y-intercept is (0, 8)

What number is 16% of y?

Answers

Answer:

0.16y

Step-by-step explanation:

16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:

0.16y

0.16y

when you get the value of why you can then find the answer by multiplying the value of y by 16 and divide the answer by 100

a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).

Answers

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

Can anyone help me on this I would appreciate it

Answers

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Insee its finna be 14

Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).

Answers

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3

Answers

Answer:

Line AB

Step-by-step explanation:

The line is on crosses thru the exact points so its right.

Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?

Answers

Answer:

4.50+.75d=7.50+.65d

Step-by-step explanation:

Y=4.50+.75d equation 1

y=7.50+.65d equation 2

4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1

.10d=3.00 simplify equation

d=30

check answer by subbing 30 for d into each equation.

y=4.50+.75(30)

y=4.50+22.50

y=27

y=7.50+.65(30)

y=7.50+19.50

y=27

both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent

Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140

Answers

Answer:

A is correct answer

Step-by-step explanation:

[tex](3000 + 500 + 50) \div 25 \\ [/tex]

[tex](3550) \div 25[/tex]

[tex] = = > 3550 \div 25[/tex]

Thanks

Don't forget to tell the name of your country.

A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

.094

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}

Answers

Answer:

10/11

Step-by-step explanation:

35 stringed , 5 string and brass, 10 brass, 5 play neither string nor brass

P (A or B ) = students that play string or brass / total number of students = 35+5+10/ 35+5+10+5 = 50/55 = 10/11

PLS ANSWER ASAP DUE 9:35

Answers

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

¿Cuál es la expresión algebraica que representa el área sombreada en la siguiente figura?

Answers

La respuesta es : 10x + 4

La fórmula para el área sombreada es:

((x + 3) (2x + 1)) - (x (2 x-3)).

Simplificar

(2x ^ 2 + 7x + 4) - (2x ^ 2 -3x).

Sustraer

= 10x + 4

What is the solution to the system of equations graphed below

Answers

Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 1 ) ← solution → A

The solution is A i’m sure like the other guy said

Which equation represents "the sum of eight times a number and seven is twice the number"?

8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N

Answers

The answer is 8N+7=2N
A - 8n + 7 = 2N - due to the question

How many solutions exist for the system of equations below? ​

Answers

Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

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