Answer:
speeds above 343 m/s
Step-by-step explanation:
the faster you go the faster the supersonic
Let's compare the given function with the model for a quadratic equation:
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
Therefore the minimum value is -24.
Answer: Longest distance she could measure is 70 mm
Step-by-step explanation:
To find the longest distance from one side to other across the center we have to find the diameter of the lampshade.
As it is given that the distance around the lampshade is 219.8 mm which is equal to the circumference of the lampshade.
Circumference of the lampshade is 
πD, where D is the diameter of the lampshade
where the value of π=3.14
Divide both sides by 3.14 we get
on solving we get
All of these transformations are equivalent to reflection across the line y=x:
- a reflection across the y-axis followed by a clockwise rotation 90° about the origin
- a clockwise rotation 90° about the origin followed by a reflection across the x-axis
- a counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis
- a reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin
_____
These are all but the second choice.
... reflection across y: (x, y) ⇒ (-x, y); 90°CW: (-x, y) ⇒ (y, x)
... 90°CW: (x, y) ⇒ (y, -x); reflection across x: (y, -x) ⇒ (y, x)
... 90°CCW: (x, y) ⇒ (-y, x); reflection across y: (-y, x) ⇒ (y, x)
... reflection across x: (x, y) ⇒ (x, -y); 90°CCW: (x, -y) ⇒ (y, x)
Note that the second choice gives a different result:
... reflection across y: (x, y) ⇒ (-x, y); 90°CCW: (-x, y) ⇒ (-y, -x)
