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saveliy_v [14]
3 years ago
5

Solve 10y4+6y2-12y3-5y4

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

(5y² - 12y + 6) y²

Step-by-step explanation:

i'm going to assume that you mean to simplify the expression:

10y⁴+6y²-12y³-5y⁴   (group like terms)

= (10y⁴- 5y⁴) - 12y³ + 6y²

= 5y⁴ - 12y³ + 6y²   (factor out y²)

= (5y² - 12y + 6) y²

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Semmy [17]
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33  (2)

3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
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6 0
3 years ago
The base of a triangular prism is an isosceles right triangle with a hypotenuse of 72−−√ centimeters. The height of the prism is
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Surface area = lateral area + 2(area of base)

Lateral area = perimeter of base * height.

Because it is a isosceles right triangle, both sides are equal.

x^{2} +x^{2} = 72

2x^{2} = 72. Divide both sides by 2

x^{2} = 36.  Square both sides.

x = 6.

So the perimeter of the base = 6 + 6 +\sqrt{72} = 20.485281374239

Lateral area = 20.485281374239 * 7 = 143.397 cm^{2}

Area of base is (1/2)base * height.

(1/2)(6)(6) = 18

Using the surface area formula

surface area = 143.397 + 2(18) = 179.4 cm^{3}

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2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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