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
BigorU [14]
3 years ago
12

Explain 2 other ways other than rotating 180 degrees counterclockwise or clockwise, that would allow the point to find it’s way

to the same place from its original position. Hint: You may combine transformations.

Mathematics
1 answer:
oee [108]3 years ago
6 0
Check picture 1

Notice that a 180° rotation clockwise or counterclockwise (around the origin) send any point P(a, b) to a point with coordinates (-a, -b).

this means the number values of the respective x and y coordinates are the same, but the signs are different.

for example rotating point P(-3, 17) 180 degrees results in point (3, -17)


check picture 2.

reflecting point P(a, b) with respect to :

the y-axis results in point (-a, b)


the x-axis results in point (a, -b)


for example , consider point P(-3, 17)

reflecting this point with respect to the y axis, results in (3, 17)

reflecting (3, 17) with respect to the x-axis results in (3, -17)


So the effect of reflecting with respect to the y axis, the x axis (the other way around is the same) results in the same point as rotating 180 degrees.


Answer:

1) reflect with respect to the y-axis, then reflect this last point with respect to the x-axis

2) reflect with respect to the x-axis, then reflect this last point with respect to the y-axis

You might be interested in
A cube has a volume of 2197 m^3. Its surface is to be painted. Each can of paint covers about 40 m^2. How many cans of paint are
Gelneren [198K]
<em>Volume= a³</em>
<em>a=edge</em>
<em>2197 = a³</em>
<em>=> a=13 m</em>
<em>Surface area=6a²=6*13²=6*169=1014 m²</em>
<em>\frac{1014}{40} = 25,35 ≈ 26</em>
<em>=> <u>26 cans needed</u></em>
8 0
3 years ago
Factor 2x^2-128 completely
Alina [70]
2x² - 128

2(x² - 64), but (x² - 64)  = x² - 8² (difference of 2 squares),[a²-b²=(a-b)(a+b)]

2(x² - 64) = 2(x² - 8²) = 2(x-8)(x+8)

8 0
3 years ago
Object A has a mass of 12 g and a volume of 8 cm3. Object B has a mass of 20 g and a volume of 8 cm3. Which object has a greater
Andreyy89

Answer:

Obj B, by 1 g/cm^3

Step-by-step explanation:

Obj A = 12g / 8cm^3 = 3g / 2cm^3 = 1.5 g/cm^3

Obj B = 20g / 8cm^3 = 5g / 2cm^3 = 2.5 g/cm^3

2.5 - 1.5 = 1 g/cm^3

4 0
3 years ago
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba
Andru [333]
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.

remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2

we said all side lengths are x so we can put x in for a and b and get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

that is the basic fundamental answer that will always work when working with diagonals of squares.

so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
7 0
3 years ago
Evaluate the sine of angle X for the right triangle below.
bezimeni [28]

Answer:

\frac{7}{25}

Step-by-step explanation:

sinx = \frac{opposite}{hypotenuse}

The hypotenuse = 25 since 7, 24, 25 ← Pythagorean triple

Hence

sinx = \frac{7}{25}

6 0
3 years ago
Other questions:
  • OnOff
    15·1 answer
  • How to solve 2y+(-2-7y)=4
    13·1 answer
  • *Please help* Simplify 3x / 2
    7·1 answer
  • What is the range of the data represented in the dot plot below?
    10·2 answers
  • 72 games 20% discount
    6·2 answers
  • What is 1/3 (5x+1)= -2
    9·1 answer
  • Solve for r 5(r-10)=-51
    6·2 answers
  • Please help me, I’m very confused
    13·1 answer
  • I need help fast. I don't get it
    15·1 answer
  • Please help me <br> Will give you brainly
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!