Answer: The correct option is (c). 
Step-by-step explanation: We are given to select the correct basic identity that we will use to verify the following:
We have
In order to verify the given trigonometric equation, we must have
Thus, the required identity that we will use is
Option (c) is CORRECT.
To solve each inequality, we can use different operations or transposition to simplify the equations or expressions given.
1. m - 7 < 6 m < 13
2. x + 4.5 ≥ 5.5 x ≥ 1
3. p + 12 > 9 p > -3
Answer: no it isn’t
Step-by-step explanation:
Cuz 2(-1)+3(4)=14
-2+12=14
10 doesn’t equal 14
X = 60
90 + 30 = 120
180-120=60
Answer:
there are two complex roots
Step-by-step explanation:
Recall that for a quadratic equation
y = ax² + bx + c
the solution given by the quadratic formula is
x = ( -b ± √discriminant) / 2a
if the discriminant is negative, the radical term will become √ (negative number), which we know gives complex solutions. Hence we can eliminate real roots as possible answers.
Also notice that the "±" sign in the quadratic formula means that you will get 2 possible solutions:
x = ( -b + √discriminant) / 2a
or
x = ( -b - √discriminant) / 2a
Hence we know we will get 2 solutions.
Combining our findings, we can conclude that if the discriminant is negative, we will get 2 complex roots.
