Answer:
(- 4, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 4 ) → (- 4, 3 )
This is a simple Pythagorean theorem, which says that c2 = a2 + b2
So let us just apply it here:
c^2 = 4^2 + 4^2
c^2 = 16 + 16
c^2 = 32
c = <span>√32
c = </span><span>√2*16
c = 4</span><span><span>√2
</span>The correct answer is c = 4</span><span>√2.</span>
Answer:
here
Step-by-step explanation:
here
u can see in pictures
Answer:
Step-by-step explanation:
we know that
The rule to calculate the a_n term in an arithmetic sequence is
where
d is the common difference
a_1 is the first term
n is the number of terms
we have

Remember that In an Arithmetic Sequence the difference between one term and the next is a constant. and this constant is called the common difference
so


Find the 96th term of the arithmetic sequence
we have

substitute
Answer:
- none
- none
- x ≥ 4
Step-by-step explanation:
The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.
In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.
__
3. For the function ...

the value under the radical cannot be negative. The square root function is not defined for negative values, so the restriction is ...
x -4 ≥ 0
x ≥ 4 . . . . . . . add 4 to both sides of the inequality