Answer:
2x+30
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
The length is 2/3 x+10 and the width is 1/3x +5
P = 2(2/3x +10 + 1/3x +5)
Combine like terms
P = 2(2/3x + 1/3x +10+5)
= 2(x +15)
Distribute the 2
= 2x+30
If cos θ = (-5/13), then θ should be in quadrant II or III. The given says sin θ < 0, so θ should be in quadrant III. In this case, tan <span>θ should be equal to number greater than zero. Hence we get sqrt of (13^2 - 5^2 ) equal to 12. tan </span><span> θ should be equal to A 12/5. </span>
The answer is (3x + 4)(x + 2), because when expanded you get 3x^2 + 4x + 6x + 8, which simplifies to 3x^2 + 10x + 8. I hope this helps!