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stich3 [128]
3 years ago
12

Combine like terms: 2y^2 + 2(4y^2 − 3)

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

10y^2-6

Step-by-step explanation:

2y^2=2(4y^2-3)

2x4y^2=8y^2

2x(-3)=(-6)


2y^2+8y^2-6

10y^2-6

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Use the GCF and the Distributive Property to express the sum as a product. 30 + 10
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The expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)

<h3>How to use the GCF and the Distributive Property to express the sum as a product?</h3>

The expression is given as:

30 + 10

Express the terms of the expression as the product of their GCF.

So, we have:

30 + 10 = 3 * 10 + 1 * 10

Factor out 10

30 + 10 = 10(3 + 1)

Hence, the expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)

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1 year ago
The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 2
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Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS that is parall
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The equation of the side of triangle QRS that is parallel to segment UV is:

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Step-by-step explanation:

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A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as
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The value of x when the triangle and the parallelogram have the same area is 6 units

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The dimension of the parallelogram is given as:

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The dimension of the triangle is given as:

  • Height = x
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<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

Area = x (4 + x)

The area of the triangle is calculated as:

Area = 0.5 \times 20 \times x

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Both areas are equal.

So, we have:

x(4 + x) = 10x

Divide both sides by x

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