Answer:
8.3
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
Circumference of the circle = 52 cm
<em><u>Therefore</u></em><em><u> </u></em><em><u>,</u></em>
<em>By</em><em> </em><em>the</em><em> </em><em>problem</em><em>, </em>
=> r = 8.2802547771
<em>Rounded</em><em> </em><em>to</em><em> </em><em>nearest</em><em> </em><em>tenth</em><em>,</em>
=> <em><u>r = 8.3 (Ans)</u></em>
The minimum distance between the asteroid and the sun is 10 - 6 =4
The given hyperbolic path defined as
divide both the sides by 576,
The general equation of
hyperbola is written as
;
Compare with above mention equation
Here
The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10
The minimum distance between the asteroid and the sun is 10 -6 =4
<span><span> x3-81=0</span> </span>One solution was found : <span> x = 3 • ∛<span>3 </span>= 4.3267</span>
Step by step solution :<span>Step 1 :</span>Trying to factor as a Difference of Cubes:
<span> 1.1 </span> Factoring: <span> x3-81</span>
Theory : A difference of two perfect cubes, <span> <span>a3</span> - <span>b3</span> </span>can be factored into
<span> (a-b) • (a2 +ab +b2)</span>
Proof : <span> (a-b)•(a2+ab+b2) =
<span>a3</span>+<span>a2b</span>+<span>ab2</span>-<span>ba2</span>-<span>b2a</span>-<span>b3</span> =
<span>a3</span>+(<span>a2b</span>-<span>ba2</span>)+(<span>ab2</span>-<span>b2a</span>)-<span>b3</span> =
<span>a3</span>+0+0+<span>b3</span> =
<span>a3</span>+<span>b3</span></span>
<span>Check : 81 is not a cube !! </span>
Ruling : Binomial can not be factored as the difference of two perfect cubes
Polynomial Roots Calculator :
<span> 1.2 </span> Find roots (zeroes) of : <span> F(x) = x3-81</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is <span> -81.
</span>The factor(s) are:
of the Leading Coefficient : <span> 1
</span>of the Trailing Constant : <span> 1 ,3 ,9 ,27 ,81
</span>Let us test ....
<span><span> P Q P/Q F(P/Q) Divisor</span><span> -1 1 -1.00 -82.00 </span><span> -3 1 -3.00 -108.00 </span><span> -9 1 -9.00 -810.00 </span><span> -27 1 -27.00 -19764.00 </span><span> -81 1 -81.00 -531522.00 </span><span> 1 1 1.00 -80.00 </span><span> 3 1 3.00 -54.00 </span><span> 9 1 9.00 648.00 </span><span> 27 1 27.00 19602.00 </span><span> 81 1 81.00 531360.00 </span></span>
Polynomial Roots Calculator found no rational roots
<span>Equation at the end of step 1 :</span><span> x3 - 81 = 0
</span><span>Step 2 :</span>Solving a Single Variable Equation :
<span> 2.1 </span> Solve : <span> x3-81 = 0</span><span>
</span>Add 81 to both sides of the equation :<span>
</span> <span> x3 = 81</span>
When two things are equal, their cube roots are equal. Taking the cube root of the two sides of the equation we get: <span>
</span> x = <span> ∛<span> 81 </span></span><span>
</span>Can <span> ∛<span> 81 </span></span>be simplified ?
Yes! The prime factorization of 81 is
<span> 3•3•3•3</span>
To be able to remove something from under the radical, there have to be <span> 3 </span> instances of it (because we are taking a cube i.e.<span> cube </span>root).
<span>∛<span> 81 </span> = ∛<span> 3•3•3•3 </span> =
<span>3 </span>• ∛<span> 3 </span></span>
The equation has one real solution
This solution is <span> x = 3 • ∛<span>3 </span>= 4.3267 </span>
One solution was found : <span> x = 3 • ∛<span>3 </span>= 4.3267</span>
Answer:
Term insurance covers the insured for the stated term of the policy. ... The insured pays premiums on this type of insurance until his death. If a person purchases a twenty-year endowment insurance policy and pays on it for twenty years, at the end of that time he may collect a value based upon his age.
Step-by-step explanation: ts true. hope this helped :)
Answer:
Step-by-step explanation:
The distance between two points on a Cartesian coordinate grid is where is the distance between and :
Therefore, the distance between the two points is units.