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
ELEN [110]
1 year ago
13

HELP HURRY pls

Mathematics
1 answer:
Bess [88]1 year ago
7 0

Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.

<h3>How to generated a resulting triangle by transformation rules</h3>

In this question we must apply a kind of <em>rigid</em> transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Where:

  • O(x, y) - Point of reference
  • k - Dilation factor
  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Let assume that the point P is the origin of a <em>rectangular</em> system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).

Then, the vertices of the resulting triangle A'B'C' are, respectively:

A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]

A'(x, y) = (- 3, 6)

B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]

B'(x, y) = (- 3, - 3)

C'(x, y) = (0, 0) + 3 · [(2, 0) - (0, 0)]

C'(x, y) = (6, 0)

Finally, we draw the resulting triangle with the help of a graphing tool.

To learn more on dilations: brainly.com/question/13176891

#SPJ1

You might be interested in
A slice is made perpendicular to the base of a right rectangular prism as shown.
Eduardwww [97]

Answer:

The correct option is 1. The area of cross section area is 48 mm².

Step-by-step explanation:

From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.

The area of a rectangle is the product of its dimensions.

A=l\times w

Where, l is length of the rectangle and w is width of the rectangle.

The area of cross section is

A=4\times 12

A=48

Therefore the area of cross section area is 48 mm². Option 1 is correct.

8 0
3 years ago
The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What
Darina [25.2K]
X = older brother
y = younger brother 

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

( \frac{2y}{3} + 8) / y +8 =  \frac{3}{4}
(2y + 24)/3 = y + 8 =  \frac{3}{4}
2y + 24 = 3 (y + 8) =  \frac{3}{4}
2y + 24 = 3y + 24 =  \frac{3}{4}
4 (2y + 24) = 3 (3y + 24)
8y + 96 = 9y + 72
y = 24

The age of the older brother is 24.

x =  \frac{2y}{3} = \frac{2*24}{3}
x =  \frac{48}{3}
x = 16

The age of the youngest brother is 16.
5 0
3 years ago
Read 2 more answers
X + 8 &lt; 10<br> Please help
Cerrena [4.2K]

Answer:

if I'm solving for x, then its 2

(I think)

6 0
3 years ago
Factorise the following : ​
Free_Kalibri [48]

Answer:

(3x+4b)(a-2y)

Step-by-step explanation:

(3ax-6xy)+(8by-4ab)

3x(a-2y) -4b(-2y+a)

(3x+4b) (a-2y)

4 0
3 years ago
Read 2 more answers
What is the width of a rectangle with length 5.5 cm and area 220 cm^2
Reika [66]
In the given question it is given that the length of the rectangle is 5.5 cm and the area of the rectangle is 220 cm^2.
Length of the rectangle = 5.5 cm
Area of the rectangle = 220 cm^2
Then we already know that
Area of a rectangle = Length * width
So Width of the rectangle = Area of the rectangle/ Length
                                           = 220/5.5
                                           = 2200/55
                                           = 40
So the width of the rectangle is 40 cm.<span>Hope  that you have got the answer you were looking for.

</span>


3 0
3 years ago
Other questions:
  • Consider the polynomial 16x2 – 1.
    5·2 answers
  • Find x and y from the following? 2x+3=y+6 <br>-4x-12=-8y
    14·1 answer
  • 3/4 (x + 18) = 15 What is x equal to
    14·2 answers
  • The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia
    10·1 answer
  • CORRECT answer gets brainliest.
    10·1 answer
  • Evaluate show the solution of 14C6 and 15C4​
    8·1 answer
  • Help! Need by 10:30 to turn in and I'm confused!
    14·1 answer
  • 1.12- 2 3/5 QUICK!!!​
    8·2 answers
  • IReady Math! Please, help!
    15·2 answers
  • Three to the Second power times Five to the Third power equals
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!