Question

Выберите функции, графики которых параллельны, ответ обоснуйте: А) y=x+3 и y=3 В) y=x+7 и y=3x+7 C) y=-2x-6 и у=-4х-6 D) y=-5х+3 и y=-5х+4 E) y=0,5х+4 и y=2x+4 помогите плиз​

Answer 1

Ответ:

Ответ D

потомучто в первой функции R=-5,во второй функции R=-5,если в функциях R1=R1,то эти функции параллельны

Answer 2

A) y = x + 3 and y = 3

The functions y = x + 3 and y = 3 are parallel.

To understand why, let's examine the equations. The first equation, y = x + 3, represents a straight line with a slope of 1. This means that for every unit increase in x, y increases by 1. The second equation, y = 3, represents a horizontal line that intersects the y-axis at y = 3. Since the slope of a horizontal line is 0, the two lines are parallel.

B) y = x + 7 and y = 3x + 7

The functions y = x + 7 and y = 3x + 7 are not parallel.

To determine this, we can compare the slopes of the two equations. The slope of y = x + 7 is 1, while the slope of y = 3x + 7 is 3. Since the slopes are different, the lines are not parallel.

C) y = -2x - 6 and y = -4x - 6

The functions y = -2x - 6 and y = -4x - 6 are parallel.

Both equations have the same slope of -2. This means that for every unit increase in x, y decreases by 2. Since the slopes are equal, the lines are parallel.

D) y = -5x + 3 and y = -5x + 4

The functions y = -5x + 3 and y = -5x + 4 are not parallel.

To determine this, we can compare the slopes of the two equations. Both equations have the same slope of -5. However, the y-intercepts are different. The first equation has a y-intercept of 3, while the second equation has a y-intercept of 4. Since the y-intercepts are different, the lines are not parallel.

E) y = 0.5x + 4 and y = 2x + 4

The functions y = 0.5x + 4 and y = 2x + 4 are not parallel.

To determine this, we can compare the slopes of the two equations. The slope of y = 0.5x + 4 is 0.5, while the slope of y = 2x + 4 is 2. Since the slopes are different, the lines are not parallel.

In summary: - Functions A (y = x + 3 and y = 3) are parallel. - Functions B (y = x + 7 and y = 3x + 7) are not parallel. - Functions C (y = -2x - 6 and y = -4x - 6) are parallel. - Functions D (y = -5x + 3 and y = -5x + 4) are not parallel. - Functions E (y = 0.5x + 4 and y = 2x + 4) are not parallel.