Answer:
CD = 25 ft
Step-by-step explanation:
(Corresponding sides of similar triangles are in proportion)
What is the correct solution to the equation?
2 answers:
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Answer:
The amount invested in bonds = 35,000
The amount invested in CD = 15,000.
Step-by-step explanation:
The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds , and the amount invested in CD
, then we have:
this says the total amount Daniela invested is $50,000.
And since the amount invested in bonds is $5,000 more than twice the amount Daniela put into the CD, we have:
.
Thus, we have two equations and two unknowns and
:
(1).
(2). ,
and we solve this system by substituting from the second equation into the first:
or, the amount invested in CD is $15,000.
With the value of in hand, we now solve for
from equation(2):
or, the amount invested in bonds is $35,000.
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)
__
The attached graph shows the equivalence of the polar and rectangular forms.
