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1 year ago

What is the image of the point (0,5)(0,5) after a rotation of 180^{\circ}180

1 answer:

3 0

The image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is:

What is the image of the point (0,5) after a rotation of 180° counterclockwise about the origin?

The rule for the above transformation:

(x, y) → (-x, -y)

(0, 5) → (0, -5)

Thus, the image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).

Learn more about the geometric transformation here:

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8) Factor each sum or difference of cubes completely.<br> a. 8x3 + 27

ASHA 777 [7]

Answer:

$\large\boxed{(2x+3)(4x^2-6x+9)}$

Step-by-step explanation:

$8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)$

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3 years ago

the ratio of red marbles to blue marbles in a bag is 3:4. which of the the following is a possible total number of marbles?

Vitek1552 [10]

3:4
6:8
9:12

if u either multiply or divide a number from one side, u must do the same calculation to the other side. hope that helps :)

8 0

2 years ago

Hi, having trouble understanding this question.. as well as solving it.

kramer

-- You have two angles.

-- They're complementary . . . they add up to 90 degrees.

-- One is 4 times as big as the other one.
___________________________________________

-- The smaller angle has 1 share of the 90 degrees.

-- The bigger angle has 4 shares of the 90 degrees.

-- (The smaller one is 1/4 the size of the bigger one.
   The bigger one is 4 times the size of the smaller one.)

-- When you add them together, you get 5 shares, totaling 90 degrees.

-- What's the size of each share ? It's 90/5 = 18 degrees.

-- The smaller angle gets one share . . . 18 degrees.

-- The bigger angle gets 4 shares.   (4 x 18) = 72 degrees.
____________________________________

Check:

-- Is the small one 1/4 the size of the big one ? 18/72 = 1/4 Yes.

-- Are they complementary ? Do they add up to 90 degrees ?

   18 + 72 = 90 Yes.

   yay !

6 0

3 years ago

Read 2 more answers

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.

GaryK [48]

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

6 0

2 years ago

Read 2 more answers

Use row operations to solve the system.

Aleks04 [339]

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = -17

2(2) - 3y = -17

-3y = -17 - 4

-3y = -21

y = 7

Find z using any equation

x + y - z = -3

2 + 7 - z = -3

9 - z = -3

z = 12

3 0

3 years ago