Answer:
abdul has 15
keiko has 22
bob has 45
Step-by-step explanation:
82= a+7+3a+a
75=a+3a+a
75=5a
15=a
15=abdul
15+7=keiko
3(15)=bob
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)
Answer:
9) slope= (-1/5) y-intercept is 1 equation is y=-1/5x+1
11) slope= (-1/5) y-intercept is -4 equation is y=-1/5x-4
13) slope= (-4) y-intercept is 5 equation is y=-4x+5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Answer:
4. y = x - 1
This is what I'm thinking. I put the equation in my calculator and the same line came up.