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3 years ago

What is the difference between associative and commutative property?

Mathematics

1 answer:

notka56 [123]3 years ago

6 0

Step-by-step explanation:

The difference between associative and commutative property is that:

a} In Associative property numbers can be grouped in any way and yet the answer will be same.

Ex 1; (2+3)+2 or (2+2)+3 gives the same result i.e.

Ex 2; (2*3)+2 or (2+2)*3 gives the same result i.e. 12

b} In Commutative property numbers can be arranged in any order yet the result is same

Ex 1; 2+6+1 or 1+2+6 gives the same result i.e. 9

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Factoring by grouping x^2 + 4y + 2x + 2xy pls explain with work too!!!

Gennadij [26K]

${x}^{2} + 4y + 2x + 2xy$

We can factorise this expression by grouping. First let us arrange it in this way

$= {x}^{2} + 2xy + 2x + 4y$

Let us bracket them like this:

$= ( {x}^{2} + 2xy) + (2x+ 4y)$

In the first bracket portion, take x as common and in the second expression, take 2 as common.

$= x(x + 2y) + 2(x + 2y) \\ = (x + 2)(x + 2y)$

Answer:

$(x + 2)(x + 2y)$

Hope you could understand.

If you have any query, feel free to ask.

7 0

2 years ago

Read 2 more answers

What digit is in the ten thousands place of the number 43,310.60 975

Nadya [2.5K]

4 because you would say "forty three thousand..." three would be the one thousands place, and 4 would be the ten thousands place.

3 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x

sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0

2 years ago

Draw an angle in standard position whose terminal side contains the point

kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0

2 years ago

Is 1.5 greater than 3

Andre45 [30]

3 is greater than 1.5

5 0

3 years ago

Read 2 more answers