Answer:
Step-by-step explanation:
1.
[tex]-4\leq \frac{x+5}{3} \leq 7\\multiply~each~inequality~by~3\\-12\leq x+5\leq 21\\subtract~5~from~each~inequality\\-17 \leq x\leq 16[/tex]
2.
cosθ+sinθ tan θ
=cosθ+sin θ×(sinθ)/(cosθ)
[tex]=\frac{cos^2 \theta+sin ^2 \theta}{cos \theta} \\=\frac{1}{cos \theta} \\=sec \theta[/tex]
3.
x²+(y-6)²=35
x²+y²-12y+36=35
x²+y²-12y+1=0
put x=r cosθ
y=r sin θ
square and add
x²+y²=r²cos²θ +r² sin²θ=r² (cos² θ+sin² θ)=r²
r²-12rsinθ+1=0
