Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
For
,
, all the more
, therefore no solution.
For
, we have
. Obviously that' false.
For
both
and
, where
, belong to the range
, then
belong to the range
.
Those ranges don't have a common part, therefore, again, no solution.
So, the equation
doesn't have a solution.
Answer:
3
Step-by-step explanation:
3
On a number line, v would be all the numbers to the left of -3 (for example, |-4|=4 which is greater than 3) and all the values to the right of positive 3. Since it can't equal 3, v=-3 and v=3 are not included on the number line.
Answer:
apple = 4
blackberry =5
Step-by-step explanation:
Let a = apple pie cost
b =blackberry pie cost
4a +9b = 61
7a +6b = 58
Multiply the first equation by 7
7(4a +9b) = 61*7
28a +63b = 427
Multiply the second equation by -4
-4(7a +6b) = 58*-4
-28a -24b = -232
Add these two new equations together to eliminate a
28a +63b = 427
-28a -24b = -232
-----------------------------
0a +39b =195
Divide each side by 39
39b/39 = 195/39
b= 5
Now we need to find a
4a +9b = 61
4a +9(5) = 61
4a +45 = 61
4a+45-45 =61-45
4a = 26
Divide by 4
4a/4 =16/4
a = 4
