What is the definition of the slope of a line?

2 answers:

8 0

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

stellarik [79]3 years ago

3 0

In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line

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Can you help me with these two because I don't understand

OverLord2011 [107]

Answer: 1: 34 units 2: 24.5

Step-by-step explanation:

For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...

4x4= 16

(4x3)/2= 6

(4x4)/2= 8

(4x2)/2= 3

16+6+8+3 = 34

You do the same for figure 2, but use 4 triangles and 1 tiny square

1x1= 1

(4x3)/2= 6

(3x3)/2= 4.5

(4x4)/2= 8

(5x5)/2= 5

1+6+4.5+8+5= 24.5

You shouldn't need to worry about negative numbers because you are looking at the area

5 0

2 years ago

F(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Alona [7]

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

$f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}$