Answer:3/3 would be your slope
Step-by-step explanation:
Answer:
yes I think so
Step-by-step explanation:
(-3,5). (2,-3)
x1,y1. x2,y2
y2-y1. -3-5. -8
--------- = ------- = ----- =8 =m
x2-x1. 2-3. -1
plug the rest in
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Question 1:
Conclusion: ∠DAY + ∠YAK = 180°
Justification: definition of linear pair
Question 2:
Conclusion: Point U is the midpoint of RN
Justification: RU=UN, definition of midpoint
Question 4:
Conclusion: ∠3 = ∠7
Justification: definition of alternate interior angles
Question 5:
Conclusion: ∠ABD = ∠DBC
Justification: definition of bisector
Question 6:
Conclusion: ∠2 and ∠3 are supplementary angles
Justification: definition of supplementary angles
Sorry question 3, don't know what it's trying to say