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:
k = -7
Step-by-step explanation:
Find the difference of the y-values of both vertexes:
f(x): y = 1
g(x): y = -6
g(x) - f(x)
-6 - 1 = -7
for my guess I would say about 45 I might be wrong but im pretty sure
Answer:
50
Step-by-step explanation:
The translation of the question is as shown;
First note that the original number is 35
The sum of 35 and one-fifth part of itself .
= 35 + 1/5(35)
= 35+7
= 42 ... A
sum of one-seventh part of itself and 3 will be;
= 1/7(35) + 3
= 5+3
= 8... B
Adding A and B together wiill give us the final result
A+B = 42+8
A+B = 50
The sum of 35 and one-fifth part of itself added to the sum of one-seventh
part of itself and 3 is therefore equivalent to 50
1/4
because 1/2 = 2/4 and 1/4 is smaller :)
1/2 (2/4):
o o o o
1/4:
o o o o
see, less! :)
so the answer is 1/4
