Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
Answer:
(22) = 7
Step-by-step explanation:
The inverse function maps the output of the function back to its input
f(7) = 22 means when input is 7 the output is 22
The inverse maps the output 22 back to the input 7 , that is
(22) = 7
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
Answer:
ooof some ppl are salty man idek
Step-by-step explanation:

I always start by moving the last term to the other side

To complete the square you take term 'b' , divide it by 2 then square it

= 25
We have to add 25 to what we have and what you do to one side you have to do to the other


Now we factor what is on the left side of the equation

The last step is to move our right side of the equation back over

- which is your answer :)))