All categories

2 years ago

Simplify 21x^6 y^5 14x^2y^9

Mathematics

1 answer:

PIT_PIT [208]2 years ago

5 0

Answer:

$\frac{3x^{4} }{2y^{4} }$

Step-by-step explanation:

Factor out 7 from top and bottom :

$\frac{7(3x^6y^5)}{7(2x^2y^9)}$

Divide top and bottom by 7 :

$\frac{3x^6y^5}{2x^2y^9}$

Simplify :

$\frac{x^6}{x^4}=x^{2}$

Simplify :

$\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }$

Collect everything together :

$\frac{3x^{4} }{2y^{4} }$

Hope this helped and have a good day

You might be interested in

Find a point-slope form for the line with slope 1/5<br> and passing through the point (-7,-4).

Basile [38]

Answer:

y + 4 = ⅕(x + 7)

Step-by-step explanation:

The "point-slope" form of the equation of a straight line is:

y − y₁ = m(x − x₁)

where m is the slope and (x₁, y₁) is a point on the line.

If m = ⅕ and (x₁, y₁) = (-7, - 4), the point-slope equation is

y + 4 = ⅕(x + 7)

The Figure below shows the graph of your line and a point at (-7, -4).

6 0

2 years ago

Please solve quickly

Sloan [31]

The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.

<h3>What degenerate conic is formed?</h3>

When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.

Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.

Find out more on degenerate conics at brainly.com/question/14276568

#SPJ1

8 0

2 years ago

write three ratios that are equilvalent to the one given:18 right-handed students for every 4 left handed students

galina1969 [7]

Well, your ratio given is 18 to 4. so multiply both numbers (18 and 4) by some number and you will have an equivalent ratio.
example: if you had 2 times as many people, then an equivalent ratio would be 18*2 to 4*2 = 36 to 8

7 0

2 years ago

Convert 1/15 into a decimal correct to 2 decimal places

Citrus2011 [14]

Answer:

$\frac{1}{15} = 0.\overline{66}$

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

$\frac{1}{15} = 0.xx$

2) We multiply the numerator by 10 and find the tenth digit:

$\frac{10}{15} = 0$

Then,

$\frac{1}{15} = 0.0xx$

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.66x$

And the remainder is:

$r = 100-15\times 6$

$r = 10$

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.666$

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

$\frac{1}{15} = 0.\overline{66}$

3 0

2 years ago

Here are two rectangles.

creativ13 [48]

Answer:

$\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}$

Step-by-step explanation:

Let the length of rectangle A be x units.

So, length of rectangle B

= x + 25% of x

= x + 0.25x

= 1.25x

Let the width of rectangle A be y units

So, Width of rectangle B

$= \frac{3}{5}\times x\\=0.6x$

Area of rectangle A = xy

Area of rectangle B

= 1.25x * 0.6y

= 0.75xy

$\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{xy}{0.75xy}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{1}{0.75}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{100}{75}\\\\\red{\bold{\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}}} \\\\$

8 0

2 years ago