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
Burka [1]
3 years ago
12

A 2x2 square is centered on the origin. It is dilated by a factor of 3. What are the coordinated of the vertices of the square?

What is the ratio of the areas from the larger square to the smaller square?
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

<u>Answer</u>:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

The ratio of area of  larger square to smaller square is 9:1

<u>Step-by-step explanation:</u>

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1),  B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

To find the area of the small square

the side  of the small square is 2 units

so the are of the small square is 2^2 = 4 square units

To find the area of the larger square

lets find the side AB of the square using distance formula

=>\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}

=>\sqrt{(3 - (-3))^2 +(-3 - (-3))^2}

=>\sqrt{(3 +3)^2 +(-3 +3)^2}

=>\sqrt{(6)^2 +(0)^2}

=>\sqrt{36}

=>6

AB =6 units

In a square all the sides will be equal

Now the area of the larger square will be

6^2

36 square units

The ratio of larger square to smaller square is

=>36 : 4

=>9 : 1

You might be interested in
Pls hurry I’m being
kati45 [8]
D. Warm air rises and cool air sinks
7 0
3 years ago
CAN SOMEONE PLEASE HELP ME WORTH 20 points
Ainat [17]

Answer:

  12 units

Step-by-step explanation:

Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...

  CH : HG = 2 : 1 = CH : 6

Then CH = 2×6 = 12.

_____

Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...

  CG² +GB² = BC²

  CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1

This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.

(The triangle shown cannot exist.)

5 0
3 years ago
What is the slope of (8,3) and (-4,-6)?
Nonamiya [84]

<u>Answer:</u> The slope of the line formed by these two points is \frac{3}{4}

<u>Step-by-step explanation:</u>

To calculate the slope, we use the formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

For the coordinates given:

x_1=8\\y_1=3\\x_2=-4\\y_2=-6

Putting values in above equation, we get:

Slope=\frac{(-6-3)}{(-4-8)}\\\\Slope=\frac{-9}{-12}\\\\Slope=\frac{3}{4}

Hence, the slope of the line formed from these two coordinates is  \frac{3}{4}

8 0
3 years ago
Can someone please. Help, thanks
erastovalidia [21]

Answer:

Do you mean like on the line it would be x=3 or where you looking for a different type of answer?sorry if this isn't too helpful

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?
BARSIC [14]
We have that

 the original (x,y) coordinates are being moved to the left by 3 units and up by 5 units.

therefore 
the answer is the option 
<span>(x, y) → (x – 3, y + 5)</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following graphs is the same as y = log1/2x? x = 2y x = 2-y x = -(2y)
    15·1 answer
  • A 16-fl oz bottle of juice costs $2.00. What is the unit cost?
    7·1 answer
  • I'm confused on this
    8·1 answer
  • Who has the most political power in Australia’s government
    10·2 answers
  • Bob is 3 years older than twiceJohn's age. The sum of their ages is 33. How old is Bob? B = 21 +3 J J + 2] +3=33 3J+3=33 -Be-3 C
    10·1 answer
  • Find one rational and one irrational no. between 3 and 5.
    10·1 answer
  • (2x2 - 4x + 7) + (3x3 - 9x)
    7·1 answer
  • Use the image below to answer the following parts.
    14·1 answer
  • Plllllllease helpppppp
    12·1 answer
  • 60 Point Question Answer ASAP! Brainliest to best/first answer
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!