Question
You have gone viral after your video received over 5 million views in one week. This made you 1 million dollars. You call the builder and ask them to build you a house twice the size of your current house, the new coordinates are two times the original house, using the original coordinates what are the new coordinates for each house.
The new coordinate for A
The new coordinate for B
The new coordinate for C
The new coordinate for D
The new coordinate for E
Answer choices: (4,4) (6,10) (4,8) (8,8) (8,4)
ThE og coordinates were A(-2,0), B(0,0), C(0,2), D(-1, 3) E (-2,2)
The new coordinate for A
The new coordinate for B
The new coordinate for C
The new coordinate for D
The new coordinate for E
Answer choices: (4,4) (6,10) (4,8) (8,8) (8,4)
ThE og coordinates were A(-2,0), B(0,0), C(0,2), D(-1, 3) E (-2,2)
Answers
GPT-4o mini
To find the new coordinates for each point after doubling their positions, we will multiply each x and y coordinate of the original points by 2.
Here are the original coordinates:
- A: (-2, 0)
- B: (0, 0)
- C: (0, 2)
- D: (-1, 3)
- E: (-2, 2)
Now let's calculate the new coordinates:
1. **New coordinate for A**:
\[
A' = (2 \times -2, 2 \times 0) = (-4, 0)
\]
2. **New coordinate for B**:
\[
B' = (2 \times 0, 2 \times 0) = (0, 0)
\]
3. **New coordinate for C**:
\[
C' = (2 \times 0, 2 \times 2) = (0, 4)
\]
4. **New coordinate for D**:
\[
D' = (2 \times -1, 2 \times 3) = (-2, 6)
\]
5. **New coordinate for E**:
\[
E' = (2 \times -2, 2 \times 2) = (-4, 4)
\]
Now listing down the calculated new coordinates:
- A' = (-4, 0)
- B' = (0, 0)
- C' = (0, 4)
- D' = (-2, 6)
- E' = (-4, 4)
Let’s compare these new coordinates to the provided options:
1. (4,4)
2. (6,10)
3. (4,8)
4. (8,8)
5. (8,4)
None of the new coordinates match the answer choices provided.
To conclude:
- New coordinates don't match the answer choices.
Here are the original coordinates:
- A: (-2, 0)
- B: (0, 0)
- C: (0, 2)
- D: (-1, 3)
- E: (-2, 2)
Now let's calculate the new coordinates:
1. **New coordinate for A**:
\[
A' = (2 \times -2, 2 \times 0) = (-4, 0)
\]
2. **New coordinate for B**:
\[
B' = (2 \times 0, 2 \times 0) = (0, 0)
\]
3. **New coordinate for C**:
\[
C' = (2 \times 0, 2 \times 2) = (0, 4)
\]
4. **New coordinate for D**:
\[
D' = (2 \times -1, 2 \times 3) = (-2, 6)
\]
5. **New coordinate for E**:
\[
E' = (2 \times -2, 2 \times 2) = (-4, 4)
\]
Now listing down the calculated new coordinates:
- A' = (-4, 0)
- B' = (0, 0)
- C' = (0, 4)
- D' = (-2, 6)
- E' = (-4, 4)
Let’s compare these new coordinates to the provided options:
1. (4,4)
2. (6,10)
3. (4,8)
4. (8,8)
5. (8,4)
None of the new coordinates match the answer choices provided.
To conclude:
- New coordinates don't match the answer choices.