Answer:
4th option
Step-by-step explanation:
given
sinΘ =
and cosΘ =
, then
(
)² + (
)²
=
+ 
= 
=
= 1
showing sin²Θ + cos²Θ = 1
<h3>
Answer:</h3>
The first line.
<h3>
Step-by-step explanation:</h3>
If we let x represent "a number", then "a number divided by 3" is x/3. The denominator is missing on the first line.
Further, this "is 4 more than -11", so is = 4 + (-11). The constant 4 is on the wrong side of the equal sign in line 1.
_____
The solution should be ...
... x/3 = 4 + (-11)
... x = 3·(-7)
... x = -21
___
<u><em>Check</em></u>
-21 divided by 3 is -7. That is 4 more than -11.
Answer:
x = 0
Step-by-step explanation:
Q(1, 2 ) and Q1(- 1, 2 ) are both 1 unit from the y- axis
Q is 1 unit to the right of the y- axis and Q1 is 1 unit is 1 unit to the left of the y-axis, thus
The y- axis is the mirror line with equation x = 0
Answer:
22, 25, 28, 31
Step-by-step explanation:
The question is mixed up. The only clear question is:
Given:
4, 7, 10, 13, 16, 19
Required
Write the next 4
Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.
The next 4 are:




Step-by-step explanation:
We need to show whether

or

so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

we can also write it as:

now all we have to do is to make x the subject of the equation.



now we'll interchange the variables

this is the inverse of f(x)

and it does equal to g(x)

Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.