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Stella [2.4K]
3 years ago
12

Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form wa

s created.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer with explanation:

It is given that, G C F of two polynomials is 5 z.

We have to Write that two polynomials.

A=5 z² + 5 z =5× z× (z+1)

B=10 z + 5 z²=5×z×(z+2)

→→G C F ,of A and B=5 z

Now, writing polynomials in equivalent form

1.5 z² + 5 z =5× z× (z+1)=(z+1)×z×5=5 z + z²

2. 10 z + 5 z²=5×z×(z+2)=(z+2)×z×5=5 z² + 10 z

to write in equivalent form of above polynomials, we have used commutative property of addition ,and Multiplication ,which states that, A+B=B +A, and AB=BA.

And, Distributive property of multiplication with respect to addition and Subtraction.

1. A × (B +C)=A × B + A × C

2. A × (B -C)=A × B - A × C

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Answer:

1/289 or 0.03462749213

Step-by-step explanation:

33 / 9537

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4 0
2 years ago
Read 2 more answers
If a4 = 625, what does (a) equal?
Reika [66]

I'm assuming you meant to write a^4 = 625.

If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2

So we go from this

a^4 = 625

to this

(a^2)^2 = 25^2

Apply the square root to both sides and you'll end up with: a^2 = 25

From here, apply the square root again to end up with the final answer: a = 5 or a = -5

As a check:

a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625

a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625

Both values of 'a' work out

4 0
3 years ago
Line M is represented by the equation -2/3+8. Line W is perpendicular and passes through the point (4,3)
goblinko [34]

Answer:

y= -3/2x+9

Step-by-step explanation:

Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9

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3 years ago
Which is the longer trip from Earth, a one-way trip to Mars or a round-trip to Venus?
dimulka [17.4K]
<span>if a trip from earth to mars, is 97/186=.52150
 
and a trip from earth to venus is 0.2774(now we have to times it by 2 since its a roundtrip),

we get .5548 we can clearly see that .5548>.52150

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6 0
3 years ago
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3y + 2x - 10 = 0 <br>find m​
Hitman42 [59]

Step-by-step explanation:

3y + 2x - 10 = 0

in standard form

2x + 3y -10=0

||

as (ax + by - c = 0)

m = -a/b

= -2/3

or

3y + 2x - 10 = 0

make y subject

y = -2/3x + 10/3

6 0
2 years ago
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