Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
Answer: 10) 615° & -105°
12) -440° & 280°
<u>Step-by-step explanation:</u>
Coterminal means it is in the exact same spot on the Unit Circle but one <em>or more </em>rotations clockwise <em>or counterclockwise.</em>
Since one rotation = 360°, add or subtract that from the given angle until you get a positive <em>or negative</em> number.
10) 255° + 360° = 615° (this is a POSITIVE coterminal angle to 255°)
255° - 360° = -105° (this is a Negative coterminal angle to 255°)
12) -800° + 360° = -440° (this is a Negative coterminal angle to -800°)
-440° + 360° = -80° (this is a Negative coterminal angle to -800°)
-80° + 360° = 280° (this is a POSITIVE coterminal angle to -800°)
I think that whole numbers and natural numbers are the same set:- 1, 2, 3, 4 etc
Answer:
4
Step-by-step explanation:
Since the question does not specify if you are rounding up or down, just round down to four from 4 1/6. 4 1/6 is closer to 4 than it is to 4 3/6 or 4 1/2.
Answer:
The domain and range remain the same.
Step-by-step explanation:
Hi there!
First, we must determine what increasing <em>a</em> by 2 really does to the exponential function.
In f(x)=ab^x, <em>a</em> represents the initial value (y-intercept) of the function while <em>b</em> represents the common ratio for each consecutive value of f(x).
Increasing <em>a</em> by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).
The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.
The range remains the same as well; for the original function, it would have been 
. Because increasing <em>a</em> by 2 does not move the entire function up or down, the range remains the same.
I hope this helps!
