Answer:
Rotated 90° clockwise around the origin. (RO 90)
Step-by-step explanation:
Based on the information A(–3, 4) transitions to A'(4, 3), B(4, –5) becomes B'(-5, –4), and C(1, 6) shifts to C'(6, –1). This implies that a point represented as P(x, y) is transformed to P(y, -x) after rotation.
Therefore, if a point P(x, y) is transformed to P(y, -x), this occurs when the shape defined by these three points is rotated 90° clockwise around the origin.
Response:
- Marti is declared the winner
Step-by-step explanation:
Continuation of question:
- After 10 seconds, the race concluded. The winner is the racer farthest from the starting point. Which car deserves the title of winner? Use mathematical reasoning to support your conclusion.
- Table is attached
Solution
Greg
- Travel speed = 13 ft/s
- Initial position = 30.7 ft from the starting point after 2 seconds
Distance from the starting point after 10 seconds:
30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ft
Marti
Travel speed = 16.5 ft/s
- Starting position = 2 ft from the beginning line
Distance from starting point after 10 seconds:
2 + 10*16.5 = 2 + 165 = 167 ft
- In comparing the distances from the start line, 134.7 ft against 167 ft, Marti is further from the start line and is thus declared the winner.
Answer:Tabitha will require 12 teaspoons.
Explanation:
According to the question, Tabitha possesses a teaspoon as her largest volume-measuring tool, and she needs to utilize one-fourth cup of broth.
Knowing that 1 cup equals 16 tablespoons and that there are 3 teaspoons in each tablespoon.
From the given data, we can compute that 16 tablespoons corresponds to (3*16)= 48 teaspoons.
Thus, 1 cup = 48 teaspoons.
Substituting these values, we find that 1/4 cup = 48/4 = 12 teaspoons.
Answer:
1/5
Step-by-step explanation:
Amir and Tamara each consumed 2/5 of the candy bar.
The total consumed is 2/5 + 2/5 = 4/5.
Since 4/5 of the candy bar has been eaten, 1/5 remains.
This is because 5/5 minus 4/5 equals 1/5.
(Note that 5/5 represents a whole candy bar).
