3 years ago

Graph of line going through ordered pairs (0, 300) and (450, 0)

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

The equation would be y=2/3x+300

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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

What expression represents the area of the triangle

Setler79 [48]

Answer:

The first choice

Step-by-step explanation:

Area of a triangle is 1/2x base x height

the base is 10 and height is 24

26 is the hypotenuse but it is not used in calculating the area

Hope this helps :)

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