Find the greatest common factor of the following monomials: u3v6 u6v2

Mathematics

2 answers:

cricket20 [7]4 years ago

4 0

Answer:

The GCF is $u^3v^2$

Step-by-step explanation:

The given monomials are:

$u^3v^6$

and

$u^6v^2$

The greatest common factor is the product of the least powers of the common factors.

The least of the powers of the common factors are:

$u^3$ and $v^2$ .

Their product is $u^3v^2$

Therefore the Greatest Common Factors is $u^3v^2$

7nadin3 [17]4 years ago

3 0

Answer:

1 2 3 1

Step-by-step explanation:

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam!

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I really need help with this one please

natka813 [3]

The distance from the sun is option 2 5.59 astronomical units.

Step-by-step explanation:

Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.

Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power $\frac{3}{2}$ is on the variable we need to find so we multiply both the sides by an exponential power of $\frac{2}{3}$ to be able to calculate 'a'.

P = $a^{\frac{3}{2} }$ , $P^{\frac{2}{3} }$ = $a^{\frac{3}{2}*\frac{2}{3} }$ , $P^{\frac{2}{3} }$ = a, $13.2^{\frac{2}{3} }$ = a = 5.58533 astronomical units.