In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as
20x⁶/15y⁵ × 5y²/6x⁴
The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes
(20*5)/(15*6) = 10/9
So, the equation to be solved now is
10x⁶y²/9y⁵ x⁴
So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:
10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³
Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is
10x²/9y³ or that is letter D.
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:
49
Step-by-step explanation:
Let be the unknown number. Twice means times 2. So, the mathematical sentence should be .
Divide both sides by 2.
To remove the radical symbol, raise both sides to the second power.
Thus, the answer is 49. Twice the square root of 49 is equal to 14.
*CREDIT* goes to CebuMath: https://brainly.ph/question/1047782
HE SOLVED THIS NOT ME.
Answer:
15
Step-by-step explanation:
