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
mel-nik [20]
3 years ago
7

If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is (x,y)\rightarrow (-x,y)

Substituting the point (-2,1) in the rule, we get;

(-2,1)\rightarrow (2,1)

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is (x,y)\rightarrow (x,-y)

Substituting the point (2,1) in the rule, we get;

(2,1)\rightarrow (2,-1)

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is (x,y)\rightarrow (-x,-y)

Substituting the point (2,-1) in the rule, we get;

(2,-1)\rightarrow (-2,1)

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

You might be interested in
Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.
Ber [7]
Total length of all ribbons = 12 * 3 = 36 inch

Then, number of ribbons = 36/4 = 9

In short, Your Answer would be: 9 sections

Hope this helps!
6 0
3 years ago
Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distanc
RUDIKE [14]

Answer:

Step-by-step explanation:

Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that

1 gallon of gas would be used to drive 392/14 = 28 miles

a) The number of miles traveled varies directly with the number of gallons of gas used.

Let x =number of gallons of gas you use.

Let y = the number of miles travelled.

Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,

y = kx

If 28 miles will require 1 gallon of gas, it means

28 = 1×k

k = 28

So y = 28x

b) we want to determine how far you can drive with 3.7 gallons of gas.

x = 3.7

y = 28x = 28×3.7

y = 103.6 miles

6 0
3 years ago
Which number is not in scientific notation? 7 ⋅ 1024 0.8 ⋅ 103 1.09 ⋅ 10–2 1.8 ⋅ 10–5
Komok [63]
0.8 x 103 because the first number cant be less then 1 or more then 9 you would have to move the decimal to make the equation correct

7 0
3 years ago
If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?
Blizzard [7]

Answer:

It would take 3.6 mins.

Step-by-step explanation:

In order to find this, we simply divide the amount of time by the amount of the tank that is filled.

2 ÷ 5/9 = 3.6

7 0
2 years ago
What is the value of n<br><br> 2.3x10^9 = (1x10^3) (2.3x10^n)
n200080 [17]
Here's one shortcut:

2.3×10^9=1000(2.3×10^6) because your adding 3 more zeros to 2300000
6 0
2 years ago
Other questions:
  • What is "a = 35% times 20"
    6·1 answer
  • A stadium that seats 35,000 is slowly filling up with fans. The game starts at four o’clock. At noon the stadium owner estimates
    15·1 answer
  • If the area of square 1 is 250 units squared, and the area of square 3 is 120 units squared, what is the area of square 2? Expla
    10·1 answer
  • Plz help ill give you brainlist
    15·1 answer
  • Greg is covering a wall with equal-sized tiles that cannot be cut
    7·1 answer
  • B<br> с<br> A<br> Find the length of “c” using<br> the Pythagorean Theorem.
    9·1 answer
  • What is the value of x in the equation?
    13·2 answers
  • Solve for a missing factor,
    10·2 answers
  • Anyone know this?? Thanks
    13·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!