The answer is 2,16. Hope that helps.
A) (-2)² ≠ -4 is your answer
Explanation:
(-2)² = (-2)(-2)
(-2) x (-2) = 4
∴ A) (-2)² ≠ -4
hope this helps
y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
Answer:
θ = 45° and θ = 225°.
Step-by-step explanation:
cos(θ) − tan(θ)cos(θ) = 0.
Solving for θ:
Since tan(θ) = sin(θ)/cos(θ), therefore:
cos(θ) - cos(θ)*sin(θ)/cos(θ) = 0.
cos(θ) and cos(θ) cancel out so:
cos(θ) - sin(θ) = 0.
cos(θ) = sin(θ).
sin(θ)/cos(θ) = 1
tan(θ) = 1.
Replace θ by the basic angle c.
tan(c) = 1.
c = tan⁻¹(1).
c = 45° (or π/4 radians).
We know that tangent ratio is positive in the first quadrant and the third quadrant. Therefore:
θ = 0° + c° and θ = 180° + c°
θ = 0° + 45° and θ = 180° + 45°
θ = 45° and θ = 225°
In the range [0°, 360°], there lie two answers!!!
Treat this almost as 2 separate problems.
P(male) = 0.40. P(two males) = (0.40)(0.40) = 0.1600.
P(female)= 0.60. P(two females) = (0.60)^2 = 0.3600
Now add these two probabilities together: P(students are of the same gender) = 0.52
