All categories

3 years ago

What is the Greatest Common Factor of the two monomials? 15a²b, 35ab2

Mathematics

1 answer:

m_a_m_a [10]3 years ago

8 0

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

You might be interested in

PLEASE HELP - QUIZ

Fittoniya [83]

Answer:

257.24 yd^2

Step-by-step explanation:

I made a video explaining, I promise it’s not anything unrelated to the question. Here it is: https://youtu.be/jHVtTCYzmzI

5 0

2 years ago

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)= $2x^{3}-26x-24$

$2x^{3}-26x-24$ =0

$2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\$

$=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\$

$=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\$

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

7 0

3 years ago

Read 2 more answers

Question<br> Write the following function in terms of its cofunction.<br> tan(78)

Nataliya [291]

Answer:

trigonometric function whose value for the complement of an angle is equal to the value of a given trigonometric function of the angle itself the sine is the cofunction of the cosine.

5 0

2 years ago

will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!

Marrrta [24]

Answer:

849.24 cm²

Step-by-step explanation:

we know it is a cube so to find the surface area of each square you do

12x12=144 and there are 5 sides so 144x5=720

We know sides of the squares are 12 cm so half of that (6) would be the bottom of the triangle

Now using pythagorus you would do a²+b²=c²

15²+6²=c²

225+36=c²

√261=√c²

16.15=c this only half of one of the sides of the pyramid so you would times 16.15 by 8 to equal 129.24

now add 720+129.24=849.24 cm²

6 0

3 years ago

Read 2 more answers

Which object is the result of rotating the triangle about line m?

vagabundo [1.1K]

The answer is c! hope it helps, can i have brainliest?? im so close to leveling up

7 0

3 years ago