1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ohaa [14]
2 years ago
6

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the

image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *
Mathematics
1 answer:
WINSTONCH [101]2 years ago
3 0

Answer:

  • (x, y) → (4x, 4y)

Step-by-step explanation:

<u>Dilation is applied by the rule:</u>

  • (x, y) → (kx, ky), where k is the scale factor

<u>We have</u>

  • (x, y) = (-2, 3) and (kx, ky) = (-8, 12)

<u>Substitute and solve for k</u>

  • -8 = -2k and 12 = 3k  ⇒ k = 4

<u>So the rule is</u>

  • (x, y) → (4x, 4y)
You might be interested in
Simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)​
Umnica [9.8K]

Answer:

  \dfrac{5}{x^3-12x^2+47x-60}

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  \dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

6 0
3 years ago
The length of a rectangle is twice its width. The perimeter of the rectangle is 15 inches. What are the measurements of the leng
Airida [17]

Step-by-step explanation:

Let the breadth (b) of a rectangle be x

Then Length (L) = 2x

Now

Perimeter of the rectangle = 15 inches

Or, 2(L + b) = 15

2 ( 2x + x) = 15

2* 3x = 15

6x = 15

x = 15 / 6

x = 2.5 inch

Also Now

Length (L) = 2*2.5 = 5 inches

Breadth (b) = 2.5 inches

Hope it will help :)

5 0
3 years ago
Y-intercept is 100 and slope is 5. Partner gave example: Younger brother had 100 small building blocks, but lost 5 of them every
ArbitrLikvidat [17]
Since he lost 5 every month, it should be that the slope is -5, not 5, he is not gaining 5 every month


yint is 100 and slope is -5 would be correct
b=-5m+100
b=number of blocks he has after m months
3 0
3 years ago
A circle has a diameter of 100 cm. which of these is closest to its area? show or explain your reasoning
patriot [66]

Answer:31r

Step-by-step explanation:

Formula=πd

22/7 × 100

3.14 × 100

314 cm square

7 0
3 years ago
15 over 1000 wrote in scientific notation​
Katena32 [7]

Answer:

1.5*10^-2

Step-by-step explanation:

You mean 15/1000 written in scientific notation?

In this case, it would be- 1.5*10^-2.

3 0
3 years ago
Other questions:
  • If an object fell to the ground from the top of a 1,600-foot-tall building at an average speed of 160 feet per second, how long
    13·2 answers
  • A bag contains 10 green, 10 orange, 10 pink, and 10 purple chips each numbered 1 through 10. A chip is chosen at random.
    7·2 answers
  • How to divide 33 photos into 2 groups so the ratio is 4 to 7
    8·1 answer
  • Determine the area of the parallelogram with vertices (4, 6, 2), (4, 7, 2), (9, 7, 2), and (9, 8, 2). Use the square root symbol
    12·1 answer
  • Which system of equations is represented by the graph?
    6·2 answers
  • A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
    10·2 answers
  • On a piece of paper graph f(x) = 3 • (2)^x then determine which answer choice matches the graph you drew
    13·1 answer
  • What is the solution to the following system of equations: 2x + 4y = 8 -2x - 4y = 8 the options are (4, 0),(0, 2) No Solution In
    7·1 answer
  • Y=-3 + 3x<br> 3х + 2y = 2
    7·2 answers
  • Some please give me the quadratic formula?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!