The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.

5 0

2 years ago

IN (3)

svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) $y =2x +5$

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,9)$

$(x_1,y_1) = (10,25)$

So, we have:

$m = \frac{25 - 9}{10 - 2}$

$m = \frac{16}{8}$

$m=2$

The equation is calculated using:

$y - y_1 =m(x - x_1)$

Using:

$(x_1,y_1) = (6,17)$

We have:

$y - 17 =2(x - 6)$

$y - 17 =2x - 12$

Make y the subject

$y =2x - 12+17$

$y =2x +5$

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

$y =2x +5$

8 0

2 years ago

This question made me stuck lol.. I really need help

Svetach [21]

(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2

(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2

2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==

5 0

2 years ago