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exis [7]
3 years ago
15

Factor the GCF: −12x4y − 9x3y2 + 3x2y3

Mathematics
1 answer:
monitta3 years ago
3 0
Factor the coefficients:
-12=(-1)(3)(2^2)
-9=(-1)(3^2)
3=3

The greatest common factor (GCF) is 3

Next we find the GCF for the variable x.
x^4
x^3
x^2
The GCF is x^2.

Next GCF for variable y.
y
y^2
y^3
the GCF is y

Therefore the GCF is 3x^2y
To factor this out, we need to divide each term by the GCF,
(3x^2y)(−12x4y/(3x^2y) − 9x3y2/(3x^2y) + 3x2y3/(3x^2y) )
=(3x^2y)(-4x^2-3xy+y^2)     
if we wish, we can factor further:
(3x^2y)(y-4x)(x+y)
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For which triangle is the length of the hypotenuse an INTEGER?
artcher [175]

A right triangle :) to find the length of a missing side, you can use the pythagorean theorem (a^2 + b^2 = c^2)

4 0
3 years ago
Please help it would be appreciated
scoray [572]

Answer:

81 in^2

Step-by-step explanation:

Well the formula to find an area of a triangle is (bh) / 2

In this case the base is 18 and the height is 9

18*9=162

162/2=81

5 0
2 years ago
Read 2 more answers
Suppose an isosceles triangle abc has a=pi/4 and b=c=4. What is the length of a^2?
Zanzabum

The law of cosines states that, if \alpha is the angle between sides b and c,

a^2 = b^2+c^2-2bc\cos(\alpha)

So, plugging our values, we have

a^2 = 16+16-2\cdot 4\cdot 4\cdot\cos\left(\dfrac{\pi}{4}\right)

This is equal to

a^2 = 32-32\cdot\dfrac{\sqrt{2}}{2} = 32-16\sqrt{2}

3 0
2 years ago
The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which s
Ganezh [65]

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>

<em></em>

5 0
3 years ago
15 plus the difference of 10 and a number X is 15 (X=?)
Verizon [17]
15+(10-x)=15 would be your equation if that is what you are looking for.
5 0
3 years ago
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