Question

Help me please I'm struggling ​

Answer 1

Answer:

Step-by-step explanation:

1.

$-4\leq \frac{x+5}{3} \leq 7\\multiply~each~inequality~by~3\\-12\leq x+5\leq 21\\subtract~5~from~each~inequality\\-17 \leq x\leq 16$

2.

cosθ+sinθ tan θ

=cosθ+sin θ×(sinθ)/(cosθ)

$=\frac{cos^2 \theta+sin ^2 \theta}{cos \theta} \\=\frac{1}{cos \theta} \\=sec \theta$

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