Answer:
y = (x/(1-x))√(1-x²)
Step-by-step explanation:
The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:
x = r·cos(θ)
y = r·sin(θ)
x² +y² = r²
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r = sec(θ) -2cos(θ)
r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)
r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²
(x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations
x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor
y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)
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The attached graph shows the equivalence of the polar and rectangular forms.
Answer:
3
Step-by-step explanation:
Do 12 divided by 4 and get 3
9 = 1 + 8x - 8
Add 8 to both sides:
17 = 1 + 8x
Minus 1 on both sides:
16 = 8x
Divide both sides by 8
2 = x
Hope it helped :)
Answer:
∠6 > ∠3 is TRUE.
Step-by-step explanation:
We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.
∠10 > ∠7
FALSE;
Because∠10 is acute while ∠7 is obtuse.
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∠6 > ∠3
TRUE;
Because∠3 is acute while ∠6 is obtuse.
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∠9 > ∠11
FALSE;
Because∠9 is acute while ∠11 is obtuse.
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∠8 > ∠11
FALSE;
Because∠8 is acute while ∠11 is obtuse.
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