From the graph and orientation of the parametric equations: A. the graph is a circle with a radius of 4. The orientation is counterclockwise as t increases.
<h3>How to find a polar function?</h3>
In geometry, the relationship between the rectangular coordinates (x, y) and polar coordinates (r, t) is given by these polar functions:
x = rcost and y = rsint.
<u>Where:</u>
- r is the radius of a circle.
Mathematically, the standard form of the polar equation of a circle is given by;
x² + y² = r²
<u>Given the following data;</u>
x = 16cost ⇒ x² = 16cos²t
y = 16sint ⇒ y² = 16sin²t
Evaluating, we have:
x² + y² = 16
r² = 16
r = √16
Radius, r = 4.
Also, the orientation is counterclockwise as t increases because the angle gets bigger (increases).
<h3>How to determine polar form of the parametric equations?</h3>
x = 3t .....equation 1.
y = t² .....equation 2.
Making t the subject of formula in eqn. 1, we have:
t = x/3 .....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
y = (x/3)²
rsinθ = (rcosθ/3)²
rsinθ = r²cos²θ/9
9rsinθ = r²cos²θ
9sinθ = rcos²θ
r = 9sinθ/cos²θ
r = 9 × (sinθ/cosθ) × 1/cosθ
r = 9tanθsecθ.
Read more on polar coordinates here: brainly.com/question/2193539
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Answer:
fraction x-3/2 is your answer for Sure
Step-by-step explanation:
y=-2x+3
x=2y+3
x-3=2y
x-3/2=y
Answer:
78 mg
Step-by-step explanation:
370 mg - 110 mg = 260 mg (amount decayed in the 8 total years)
260 mg ÷ 8 years = 32.5 mg decayed per year
32.5 × 9 years (years between 2008 and 2017) = 292.5 mg
370 mg - 292.5 mg = 77.5 mg, rounded to 78 mg
Answer:
r=1
Step-by-step explanation:
First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:
By doing so, we find:
With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.
As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:
