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amm1812
4 years ago
5

What property is (3x10)x8=3x(10x8)

Mathematics
2 answers:
mylen [45]4 years ago
7 0
(3 x 10) x 8 = 3 x (10 x 8)
this is called the associative property of multiplication.
it states : (a * b) * c = a * (b * c)
Korvikt [17]4 years ago
7 0

Answer:

Associative property of multiplication

Step-by-step explanation:

By the associative property of multiplication,

During multiplying three terms we can multiply any of two first ( that is we can grouped any two by parenthesis )

if a, b and c are any number,

\implies (a\times b)\times c=a\times (b\times c)

Hence, in the problem,

(3\times 10)\times 8=3\times (10\times 8)

Associative property of multiplication is used.

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Solve for x: 3x^2+6x=2
vekshin1

Answer:

x = -1±sqrt(5/3)

Step-by-step explanation:

3x^2+6x=2

We will use completing the square

Factor out a 3 on the left

3(x^2 +2x) = 2

Divide each side by 3

3/3(x^2 +2x) = 2/3

(x^2 +2x) = 2/3

2/2 = 1 1^2 =1

Add 1 to each side

(x^2 +2x+1) = 2/3+1

(x+1) ^2 = 2/3 +3/3

(x+1)^2 = 5/3

Take the square root of each side

sqrt((x+1)^2) = ±sqrt(5/3)

x+1 = ±sqrt(5/3)

Subtract 1 from each side

x+1-1 = -1±sqrt(5/3)

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7 0
3 years ago
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A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is locate
scoundrel [369]

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

8 0
3 years ago
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

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450 is 75% of what number?
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