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Fiesta28 [93]
3 years ago
7

What is the greatest common factor of 15x^3y^2 and 20x^4y^4?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

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The greatest common factor would be 5x because all the variables can be divided by 5x.

The answer itself already factored would be

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A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they
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Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

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for August, it is 2x

If they removed less than 1000 tress in 3 months

\Rightarrow \dfrac{x}{3}+x+2x

So, maximum number of tress removed in July is 299

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2 years ago
What is the slope of the line that passes through (4,-18) and (-3,3)
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Step-by-step explanation:

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3 0
3 years ago
The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h = −16t2 + 32t, wh
andre [41]

Answer:

Therefore  after 1 second of lunched the object reach a height of 16 feet.

Step-by-step explanation:

When a particle is thrown vertically upward direction on that time only gravitation force is worked on it. In that case the acceleration of the particle is - g.Since gravitation force works downward direction and the displacement of the particle is upward direction that's why acceleration is negative.

When particle comes down the the acceleration of the particle is g.

Since the displacement and acceleration work on the particle in same direction.

The value of g is 9.8 m/s².

Given that, the height of the particle can measure from the equation

h=-16t^2+32t       Where t is time in second

To find out the time when the object reach a height 16 feet. We have put the value of h in the given equation.

Putting h=16 in the given equation

16= -16 t²+32

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⇒16(t²-2t+1)=0

⇒t²-2t+1=0²         [ ∵16≠0]

⇒(t-1)²=0

⇒t-1=0

⇒t=1

Therefore  after 1 second of lunched the object reach a height of 16 feet.

6 0
3 years ago
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