What happens to the distance between each billiard ball during this rigid

transformation?

Answers

Answer 1

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

What Happens To The Distance Between Each Billiard Ball During This Rigidtransformation?

Related Questions

Explain why an archaeological matrix is important in archeology ​

Answers

Answer:

The stratigraphic relationships that are documented as a principal part of the record of the excavation form a fundamental part of the overall site record and underpin the relationships between the site's other recorded individual archaeological components.

Step-by-step explanation:

Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
Question 4 options:

A)

(5,0) and (6,0)

B)

(–5,0) and (–6,0)

C)

(5,0) and (–6,0)


D)

(–5,0) and (–6,0)

Answers

D) -5,0 and -6, 0
Explanation: trust me bro

When the following inequality is graphed, what will it look like?
2 > f

Answers

Answer:

Step-by-step explanation:

Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y

dy/dx = ?

Answers

Answer:

Step-by-step explanation:

Find the missing length indicated.ii

Answers

6 ..................

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

can someone help plz?.

Answers

a^2+b^2=c^2
So 17^2+12.75^2 = 451.5625
Square root that
21.25

si hay 3/4 de nieve de chocolate y vainilla el resto y el resto de es de fresa qué fracción total de la nieve es de fresa?​

Answers

La fraccio total de nieve de fresa es de ¼.

What's the difference between an opened circle on a number line and a closed circle. ( Pls give an example)

Answers

Answer:

Open circle: used for < (less than) or > (greater than) because the number is not part of the solution.

Closed circle: used for ≥ (greater than or equal to) or ≤ (less than or equal to) because the number is part of the solution.

Shading:

Shade to the right for > or ≥

Shade to the left for < or ≤

Step-by-step explanation:

2 < x < 5

Place a open circle on 2 with shading to the left and a open circle on 5 with shading to the right.

4 ≤ x ≤ 10

Place a closed circle on 4 with shading to the left and a closed circle on 10 with shading to the right.

A hailstone falls from a cloud at a height of 1,600 ft. If the equation for height as a function of time is h(t) = -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the hailstone to hit the ground? [?] seconds ​

Answers

Answer:

10 seconds

Step-by-step explanation:

The function is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

Initial height = 1600 ft

t = Time taken

[tex]0=-16t^2+1600[/tex]

[tex]\Rightarrow -16t^2=-1600[/tex]

[tex]\Rightarrow t^2=\dfrac{1600}{16}[/tex]

[tex]\Rightarrow t^2=100\\\Rightarrow t=\pm 10[/tex]

So, time taken by the hailstone to reach the ground is [tex]10\ \text{seconds}[/tex].

Answer:

10 seconds

Step-by-step explanation:

Use intercepts to graph the linear equation –2x + 6y =18

Answers

(-9,3)

Root is (-9,0)
Vertical intercept is (0,3)

Answer:

First, you solve for y, then you graph the equation.

See picture for how to solve for y (aka put in slope intercept form) and graph.

1/3 is the slope and 3 is the y intercept

Step-by-step explanation:

see photos

Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.

Answers

Answer:A-B-C-D

Step-by-step explanation:

Answer:

1234

Step-by-step explanation:

i took the test

Anyone know the answer

Answers

Answer:

S(4) = 2

Step-by-step explanation:

S(n) = n(n - 3) / 2

S(4) = 4(4 - 3) / 2

= 4 x 1 / 2

= 4/2

= 2

Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

classify the triangle by its sides, and then by angles ​

Answers

Answer:

riangles can be classified by their sides and by their angles. ... If no sides are the same length, then it is a scalene triangle. If two sides are the same length, then it is an isosceles triangle. If all three sides are the same length, then it is an equilateral triangle.

Step-by-step explanation:

help me i need help pls pls pls

Answers

Answer:

B.…….................

Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)?

Answers

Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].

So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.

To find slopes, use slope formula

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The first slope of a line passing through [tex]PQ[/tex] is

[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]

The second slope of a line passing through [tex]RS[/tex] is

[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]

Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true

[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]

This means the two lines are perpendicular.

Hope this helps.

Why is the value of x to the nearest tenth?

Answers

Answer: 9.4

Step-by-step explanation:

If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition. A. 28 square units B. 56 square units C. 84 square units D. 112 square units

Answers

Answer:

a

Step-by-step explanation:

area of parallelogram is equal to base times height 7 * 4

How many cubes with side lengths of 1/3 cm does it take to fill the prism

Answers

Answer:

Answer:48 cubes

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

I hope it's helpful!

Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Answers

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = [tex]\frac{2}{3}[/tex]

(x, y) → [tex](\frac{2}{3}x, \frac{2}{3}y)[/tex]

By this rule coordinates of the image points of A and B will be,

A(8, 6) → [tex]A'(\frac{2\times 8}{3},\frac{2\times 6}{3})[/tex]

           → A'(5.3, 4)

B(12, 12) → [tex]B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})[/tex]

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of [tex]\frac{2}{3}[/tex].

5 km
5 km
7 km
Find the surface area

Answers

Answer:

190km

Step-by-step explanation:

2(wl + hl + hw)

2 · (5 · 7 + 5 · 7 + 5 · 5) = 190

good luck, i hope this helps :)

translate into algebraic expression four divided by the sum of x and three

Answers

[tex]\frac{4}{x+3}[/tex]

sum is addition

A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as

shown. If the straw fits exactly into the box diagonally from the bottom left corner to

the top right back corner, how long is the straw? Leave your answer in simplest

radical form.

Answers

The length of the straw placed inside a rectangular box with 10 inches by 8 inches by 2 inches is 2√42 inches.

To find the length of the straw, we can use the Pythagorean theorem. The straw acts as the hypotenuse of a right-angled triangle formed by the three dimensions of the box (10 inches, 8 inches, and 2 inches).

Let the length of the straw be represented by 'l'.

According to the Pythagorean theorem:

[tex]l^2 = 10^2 + 8^2 + 2^2[/tex]

[tex]l^2 = 100 + 64 + 4[/tex]

[tex]l^2 = 168[/tex]

Take square root on both sides:

[tex]l = \sqrt{168}[/tex]

[tex]l = \sqrt{4 \times 42}[/tex]

[tex]l = 2 \times \sqrt{42}[/tex]

So, the length of the straw is 2√42 inches in simplest radical form.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ12

Complete question:

A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Tom buys 4 tickets for a concert. The total cost is $85,60. How much does he pay
for each ticket?

Answers

Answer:

$21.40 for each ticket

Step-by-step explanation:

Answer:

$21.1

Step-by-step explanation:

(2x³ - 10x² + 4x - 20) / (x - 5) = ?

Answers

Step-by-step explanation:

2x³ - 10x² + 4x - 20

= 2x²(x - 5) + 4(x - 5)

= (2x² + 4)(x - 5).

Hence (2x³ - 10x² + 4x - 20) / (x - 5)

= [(2x² + 4)(x - 5)] / (x - 5) = 2x² + 4.

Answer:

2x²+4

Step-by-step explanation:

2x³-10x²+4x-20

2(x³-5x²+2x-10)

x-5

2(x²×(x-5)+2(x-5)

x-5

2(x-5)×(x²+2)

x-5

2(x²+2)

=2ײ+4

owrite down the name of each of these triangles

Answers

Answer:

sry I don't know.

if someone answer tell me the answer I also want to know : )

I need help

A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?

A:

72 cm

B:

6 cm

C:

24 cm

D:

18 cm

Answers

Answer:

A 72cm

Step-by-step explanation:

Area of a triangle = 1/2 base x height

= 1/2 × 8× 9 = 36cm2

area of triangle = area of square

36cm2 = 36cm2

area of square = length x breath

= x x x = 36cm3

square has all sides(4) equal

therefore: 36/ 2 = 18cm (one side)

(18 x 18= 36cm3, so area is correct)

hence perimeter = 18+ 18+18+18 = 72cm

The table shows the feeding times of some animals in a zoo. Each feeding session lasts for 20 minutes.

Answers

Answer: 12:35 hrs

Step-by-step explanation:

Marlon watches the lions feed in the morning which was at 11:30.

Each feeding session lasts 20 minutes:

= 11:30 + 20

= 11:50 am

Marlon then walks for three quarters of an hour - 45 minutes - before stopping.

= 11:50 + 45

= 12:35 hrs

A circle has a diameter with endpoints at (0, 4) and (0, –8). What is the approximate area of the circle?

Answers

Answer:

113.04

Step-by-step explanation:

Area of a circle is πr2

π = 3.14

r = 6

πr2 = 113.04

Answer:

[tex]36\pi[/tex]

Step-by-step explanation:

The diameter is:

The Euclidean distance between points (x1, y1) and (x2, y2) is:

sqrt((x1 - x2)^2 + (y1 - y2)^2)

Substitute (x1, y1) = (0, 4) and (x2, y2) = (0, -8):

= sqrt((-0 + 0)^2 + (-(-8) + 4)^2)

= sqrt(12^2)

 = 12

or simply:

diameter: 4-(-8)=12

The radius is:

12/2=6 units

The area of the circle:

[tex]\pi r^2=\pi(6^2)=36\pi[/tex]

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