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3 years ago

What I s associative propertyAssociative property

Mathematics

2 answers:

kramer3 years ago

7 0

Answer:

In addition,

According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Example

( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

In multiplication,

According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Example

2 x (3 x 5) (2 x 3) x 5

= 2 x (15) and = 6 x (5)

= 30 = 30

This means that 2 x (3 x 5) = (2 x 3) x 5

The product is the same, only the grouping is different.

Nastasia [14]3 years ago

5 0

Answer:

The associative property means you can add or multiply no matter which order they are in parathesis. You can place the parathesis in any order and get the same answer.

Example:

(5x4) x 2

=40

5 x ( 4x2)

= 40

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What is the equation of the following line? (0,0) (-2,-3)

Alexus [3.1K]

Assuming you want the slope, the answer is -2/-3.

X-change: -2

Y-change: -3

X-c/Y-c = -2/-3

If -2/-3 is not an answer, try 2/3 or .666 (infinite 6s).

7 0

4 years ago

A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL) and standard deviation of 4 mL. The

zysi [14]

Answer:

52.38%

Step-by-step explanation:

P(991<X<997) = normalcdf(991,997,993,4) = 0.5328, therefore, about 52.38% of the bottles have volumes between 991 mL and 997 mL

3 0

3 years ago

find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of th

igor_vitrenko [27]

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

IMPORTANT FORMULA: Volume of any prism = Area of base * Height

In this case, the area of the base means the area of the trapezoid.

Area of trapezoid = base1+base2/2 * height

Area of trapezoid = 8+5/2 * 1.5

Area of trapezoid = 13/2 * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39

7 0

3 years ago

in an examination, Adenike obtained 19marks more than musa.if adenike had obtained one and half times her own mark,she would hav

fomenos

Answer: Adenike scored 64 marks, while Musa scored 45 marks

Step-by-step explanation: We shall start by assigning letters to each unknown variable. Let Adenike’s mark be d while Musa’s mark shall be m.

First of all, if Adenike obtained 19 marks more than Musa, then if Musa scored m, Adenike would score 19 + m (or d = 19 + m). Also if Adenike has obtained one and half her own mark (which would be 1 1/2d or 3d/2), it would have been equal to 6 times more than twice Musa’s mark (or 6 + 2m). This can be expressed as

3d/2 = 6 + 2m. So we now have a pair of simultaneous equations;

d = 19 + m ———(1)

3d/2 = 6 + 2m ———(2)

Substitute for the value of d into equation (2), if d = 19 + m

(3{19 + m})/2 = 6 + 2m

By cross multiplication we now have

3(19 + m) = 2(6 + 2m)

57 + 3m = 12 + 4m

We collect like terms and we have

57 - 12 = 4m - 3m

45 = m

We now substitute for the value of m into equation (1)

d = 19 + m

d = 19 + 45

d = 64

So Adenike scored 64 marks while Musa scored 45 marks

6 0

4 years ago

What is the complex formula for dilation with scale factor 2 and rotation by 90

zhuklara [117]

Answer:

z' = 2iz +11 -2i

Step-by-step explanation:

Dilation multiplies each point by the scale factor. Rotation by 90° CCW is equivalent to multiplication by i.

When the center is not the origin, the transformation is applied to the difference from the center, then the result is added to the center.

z' = 2i(z -(3+4i)) + (3+4i)

Simplifying gives ...

z' = 2iz -6i +8 +3 +4i

z' = 2iz +11 -2i

_____

Check

For example, consider the point 1 unit east of the center of dilation/rotation. That point is z = 4+4i. Applying the transformation moves this point to ...

z' = 2i(4 +4i) +11 -2i = 8i -8 +11 -2i

z' = 3 +6i . . . . . 2 units north of the center of dilation/rotation

This is where it is expected to be after dilation by a scale factor of 2 and rotation 90° CCW.

7 0

3 years ago