Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).
Answer:
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Step-by-step explanation:
Given:
The wind speed near the center of a tornado is represented by the equation,

Where,
d = the distance, in miles
S = the wind speed, in miles per hour.
To Find:
S = ? at d = 4 miles
Solution:
We have
.........Given
Substitute d = 4 in above equation we get,

Rounding the answer to the nearest tenth we have

Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
If a student tells me that an argument that has a false hypothesis cannot be valid, I would reply that we need to look carefully at the meaning of validity in the context of logic. In everyday speech, we tend to use “valid” to mean the same thing as “true” or “accurate.” In logic, this is not the way the term is used.
Answer:
take 42 degree as reference angle
using sine rule
sin 42=opposite/hypotenuse
0.66=x/23
23*0.66=x
15.18=x
15.2=x
take x degree as reference angle
using cos rule
cosx=adjacent/hypotenuse
cosx=29/42
cosx=0.69
cos 46 =0.69
therefore x=46 degree
Step-by-step explanation: