Find the cartesian equation of r = 8 sin thet + 8 cos theta
1 answer:
Use following substitutions:
<span>r cosθ = x </span>
<span>r sinθ = u </span>
<span>r² = x² + y² </span>
<span>r = 8 cosθ + 4 sinθ </span>
<span>Multiply both sides by r </span>
<span>r² = 8 r cosθ + 4 r sinθ </span>
<span>x² + y² = 8x + 4y </span>
<span>This is equation of circle. We can put in standard form: </span>
<span>x² − 8x + y² − 4y = 0 </span>
<span>x² − 8x + 16 + y² − 4y + 4 = 16 + 4 </span>
<span>(x − 4)² + (y − 2)² = 20 </span>
<span>Circle centered at point (4, 2) with radius = √20</span><span />
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If 25% is 45 students, then 100% is 180 students. There are 180 students in the entire 7th grade class.
Answer:
16
Step-by-step explanation:
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