If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?

Answers

Answer 1

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).


Related Questions

BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.​

Answers

D is the answer !!!!!

let x=6 and z=2 write the ratio in simplest form

12. 2x=y/3


13.4z-3/x

Answers

Answer:

12. 10/3, which simplifies to 3 1/3

13. 5/6

Step-by-step explanation:

Can someone help me please

Answers

9514 1404 393

Answer:

  ∠Z = 34°

  ∠T = 56°

Step-by-step explanation:

You can solve for x using the measure of the right angle:

  90 = 3x +6

  30 = x +2 . . . . . divide by 3

  28 = x . . . . . . . . subtract 2

Then the measure of T is ...

  ∠T = 2x° = 2(28)° = 56°

  ∠Z is its complement: 90° -56° = 34°

The angle measures are ...

  m∠Z = 34°

  m∠T = 56°

Learn with an example
Does the point (2, 9) satisfy the inequality y > 3x + 3?
yes
no
Submit

Answers

Answer:

No

Step-by-step explanation:

When you plug in the numbers, you get:

9>6+3

9 is equal to 9, not greater than.

Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?

Answers

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Need help to solve it in standard form ( y= mx+b )
4x+9y= -63
2x-3y= -9​

Answers

Answer:

Answers below

Step-by-step explanation:

10y + x = -100
can someone help me get Y by it self

Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10


Write down the integer values of x that satisfy the inequality -2 < x _<4

Answers

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

To learn more about the inequalities visit:

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Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)

Answers

The answer is 3.65g

The process when you do g(2) x 8 u get it

!!!!!!!!!!!!!!!! x= and y=

Answers

Answer:

Y=16

X=32

Step-by-step explanation:

ï just know you need to do more meth

what equation represents the line show​

Answers

Answer:

From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.

C?

because 2 is the rise, 4 is the run (always rise over run) simplify that and you’ll get 1/2 ... but since it’s a negative slope, it is -1/2.

simply the expression in the simplest form​

Answers

Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

HELP ASAP BRAINLIEST IF UR RIGHT

If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above

Answers

answer A. 15 glad to help

Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?

Answers

Answer:

p - 2

Step-by-step explanation:

Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.

Answer:

take the 2 pounds off the dog's regular weight

Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5

Answers

Answer:

the answer is A.................

Find each function value f(-4) if f(x) = -5x - 3

Answers

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17
the answer should be -3

c) Write the equation in factored form. The equation is y= x^2 - 8x - 20 // Need answer ASAP

Answers

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

Can someone help me with this equation
1a+ 6b + 4c +7a =

Answers

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3

Answers

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Help please I need help on this problem,appreciate it :)

Rewrite (squareroot n^5 p^8)
as an exponential expression

Answers

Answer:

the answer is the option : D

Ellen planned to interview some applicants for a position in her office. If she scheduled ½ of an hour to meet each of them, how much time did she schedule for all 6 applicants?

Answers

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.

The amount of time that she will schedule for all 6 applicants will be:

= 1/2 hour × 6

= 3 hours

15 is 30% of what number

Answers

Answer:

15 is 30% of 100 I believe

Answer:

50

Step-by-step explanation:

Hope this answer your question.

In the diagram below, AB and BC are tangent to O. What is the measure of
AC?

Answers

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

What is circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

To know more about circle:

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Quadrilateral ABCD is a kite with an area of 14 cm?. The length
of ED is 5 cm. What is the length of BE?
B
E
2 cm
С
2 cm
5 cm
(not drawn to scale)
D
A
7 cm
B
2 cm
С
4 cm
D 3 cm

Answers

b e 2 cm because of the area you are doing it

Megan has 15% less money than Lisa. If Lisa has $200, how much money does Megan have?

Answers

I am so sorry but I don’t know the answer I just really needed the points to ask a question myself

PLS HELP ILL MARK AS BRAINIEST :c!!!!!!!

Answers

Answer:

it 982y

Step-by-step explanation: the kid just do your work

Answer:

19.5km^2

Step-by-step explanation:

4500 times 6.5%

divide 292.5 by 15

then you get 19.5

please answer this 2 questions fast step by step ❤️​

Answers

Answer:

4). [tex]-\frac{27}{28}[/tex]

5). Amount payable by the customer = 1416 Rs.

Step-by-step explanation:

4). [tex](\frac{3}{7})\times (-\frac{5}{8})\div (\frac{1}{3}\times \frac{5}{6})[/tex]

   = [tex](-\frac{15}{56})\div (\frac{5}{18})[/tex]

   = [tex](-\frac{15}{56})\times \frac{18}{5}[/tex]

   = [tex]-\frac{54}{56}[/tex]

   = [tex]-\frac{27}{28}[/tex]

5). Cost of the item = Rs 1200

   G.S.T. applicable on this item = 18%

   Amount to be paid for G.S.T.= 1200 × [tex]\frac{18}{100}[/tex]

                                                   = Rs 216

    Total amount payable by the customer = Cost + G.S.T.

                                                                      = 1200 + 216

                                                                      = Rs 1416

help me pleaseee will give brainliest

Answers

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Please help I’ll give brainliest if correct

Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2

What is the value of g(f(2))?
A. -6

B. 2

C. 19

D. 31

Answers

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

f(x)= 4x³ – 10 g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Can somebody help me on this please

Answers

It’s D because since c is to the power of -4 you would move it to the numerator so that it can be to the power of a positive number :)
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