Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
Answer: (1,0)
Step-by-step explanation:
Answer:
Answer: 042
Step-by-step explanation:
The fourth clue eliminates 7, 3 and 8 as possibilities, the fifth clue means that 0 is the correct number but in the wrong position. The third clue indicates that the right digits, including the 0, are in the wrong place. That means the 0 must be the first number of the code.
Based on the first and second clues, the 6 must be eliminated as a possibility because it’s in the same place in both clues, but one clue says it’s in the right place and the other clue says it’s in the wrong place. So by looking at the first clue, we can determine that 6 and 8 are both eliminated (the 8 due to the fourth clue), meaning that the 2 is right and in its place.
The final number can be solved using the second clue. Because the digit remaining to be solved is the second digit, the answer must be 4 and not 1. The digit is right but in the wrong place, so it can’t be 1, which is already in the middle, so it must be 4, meaning the full answer is 042.
