Answer:
The coordinates of point Q' are: Q'(-3, 5)
Step-by-step explanation:
When a point P(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.
Thus,
The rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is:
P(x, y) → P'(-y, x)
In our case, rectangle PQRS is rotated 90° counterclockwise about the origin.
The rectangle has the coordinates:
We need to determine the coordinates of the point Q’.
Using the rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is:
P(x, y) → P'(-y, x)
Thus, coordinates of the point Q’ will be:
Q(5, 3) → Q'(-3, 5)
Therefore, the coordinates of point Q' are: Q'(-3, 5)
Y= -2x + 4 , I might be wrong
100mm÷60.2seconds=1.661129568mm per second
Answer:
Step-by-step explanation:
The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m
Each side of the cube made is 2m
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are
Length = 2 × 2 = 4m
Width = 3 × 2 = 6m
Height = 4 × 2 = 8m
Volume = length × width × height
Volume = 4 × 6 × 8 = 192 m³
Number of small cubes used is 192/1 {= 192
The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes