1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Illusion [34]
3 years ago
15

What is the greatest common factor of the following monomials: 12g^5h^4 g^5h^2

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

g^5h^2

Step-by-step explanation:

12g^5h^4, g^5h^2

This is one way of doing it. Break down every number and every variable into a product of the simplest factors. Then see how many of each factor appear in both monomials.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

So far you see every single prime factor of each monomial.

Now I will mark the ones that are present in both. Those are the common factors.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

The greatest common factor is the product of all the factors that appear in both monomials.

GCF = g * g * g * g * g * h * h = g^5h^2

You might be interested in
I need help with this question fast please
77julia77 [94]

Answer:

50%,5%. Red, Green

Step-by-step explanation:

30/60=1/2=50%

3/60=1/20=5%

red has the highest number

green has the lowest

4 0
3 years ago
Read 2 more answers
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Natasha2012 [34]

Answer:

x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}  are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

2x^2-10x-3

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}

General form of quadratic equation is ax^2+bx+c

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

D=\sqrt{(-10)^2-4(2)(-3)}

\Rightarrow D=\sqrt{100+24}=\sqrt{124}

Now substituting D in  x=\frac{b^2\pm\sqrt{D}}{2a} we get

x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}

x=\frac{100\pm\sqrt{124}}{4}

x=\frac{100\pm2\sqrt{31}}{4}

x=\frac{50\pm\sqrt{31}}{2}

Therefore, x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}



5 0
3 years ago
Read 2 more answers
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Bogdan [553]
The answer is 7.006
8 0
2 years ago
Read 2 more answers
Which of the following is a composite number? <br><br> A. 63<br> B. 19<br> C. 1<br> D. 0
Alexandra [31]
The composite number is A.63. 1 is neither a prime or composite. 19 is a prime. 0 is a trick honestly, it isn't a prime or a composite
6 0
3 years ago
Write the equation of a circle whose center is at (3,-2) and has a radius of 11.<br>Show your work!
Viefleur [7K]

Answer:

(x - 3)^{2} + (y + 2)^{2} = 121

Step-by-step explanation:

The equation of a circle has the following format:

(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}

In which r is the radius and the centre is the point (x_{0}, y_{0})

In this question:

Center at (3,-2), so x_{0} = 3, y_{0} = -2

Radius 11, so r = 11

Then

(x - 3)^{2} + (y - (-2))^{2} = 11^{2}

(x - 3)^{2} + (y + 2)^{2} = 121

3 0
3 years ago
Other questions:
  • Solve, showing all work: (5x2+3x+4) − (2x2+5x-1)
    10·1 answer
  • Stefa's family driving across the country. They have already traveled 1700 miles of the 2200 trip.how much farther do they need
    11·1 answer
  • Nadia charges $7.50 an hour for babysitting. She babysits 18.5 hours the first week of the month and 20 hours the second week of
    11·1 answer
  • A map has a scale of 1 in. : 4 mi.
    12·1 answer
  • Can you reduced 87/100?
    8·1 answer
  • Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question
    9·1 answer
  • A chemist makes a solution of acetic acid. The chemist makes at least 2 liters and wants to store the solution in several smalle
    10·1 answer
  • L = √36cm, A=
    9·2 answers
  • How many rectangles of different sizes can be formed from 36 identical rectangles
    13·1 answer
  • WORTH 10 POINTS PLEASE HELP!!!!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!