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steposvetlana [31]
3 years ago
11

Please help my small brain understand this:

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer

45 dolloar

Step-by-step explanation:

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Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
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3 years ago
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lakkis [162]

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Step-by-step explanation:

4 0
3 years ago
Please help fast i am struggling
klemol [59]
B is the correct answer for your question I do believe, I hope that helped you. If not I am sorry, I tried to answer fast for you.
6 0
3 years ago
Quadratic equation
Murrr4er [49]

Answer:

<h2>            46</h2>

Step-by-step explanation:

x          -  age of a son three years ago

3x        -  age of a father three years ago

x + 3      -  age of the son now

3x + 3       -  age of the father now

x + 3 + 5       -  age of the son in five years time

3x + 3 + 5       -  age of the father in five years time

in five years time, the father will be twice as old as his son, so:

3x + 3 + 5 = 2(x + 3 + 5)

3x + 8 = 2x + 16

3x - 2x = 16 - 8

  x = 8

x + 3 + 4       -  age of the son in four years time

8 + 3 + 4 = 15

3x + 3 + 4       -  age of the father in four years time

3×8 + 3 + 4 = 31    

the sum of their ages in four years time:

15 + 31 = 46

8 0
3 years ago
Aryon has $15. He buys 2 Cokes that each cost $1.00. He also buys a
fenix001 [56]
15.00-5.00-2.00-2.00= $6.00
7 0
3 years ago
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