Question

Помогите 1. Выберите функции, графики которых параллельны, ответ обоснуйте: A) у=6 и у=х+6 B) у=х+3 и у=2х+3 C) у=-4х-4 и у=-8х-8 D) у=-3х+5 и у=-3х+6 E) у=0,5х+3 и у=2х+3

Answer 1

Ответ :

D) у=-3х+5 и у=-3х+6

Объяснение :

У них равные коэфиценты

Answer 2

A) у=6 и у=х+6

The functions у=6 and у=х+6 are parallel because they have the same slope. In both cases, the slope is 1. When the equation is in the form у=mx+b, where m is the slope, the slope determines the direction and steepness of the line. Since the slopes of both functions are equal, the lines they represent will be parallel.

B) у=х+3 и у=2х+3

The functions у=х+3 and у=2х+3 are not parallel because they have different slopes. The slope of у=х+3 is 1, while the slope of у=2х+3 is 2. Since the slopes are different, the lines they represent will intersect at a point, rather than being parallel.

C) у=-4х-4 и у=-8х-8

The functions у=-4х-4 and у=-8х-8 are parallel because they have the same slope. In both cases, the slope is -4. Since the slopes are equal, the lines they represent will be parallel.

D) у=-3х+5 и у=-3х+6

The functions у=-3х+5 and у=-3х+6 are not parallel because they have the same slope. In both cases, the slope is -3. Since the slopes are equal, the lines they represent will intersect at a point, rather than being parallel.

E) у=0.5х+3 и у=2х+3

The functions у=0.5х+3 and у=2х+3 are not parallel because they have different slopes. The slope of у=0.5х+3 is 0.5, while the slope of у=2х+3 is 2. Since the slopes are different, the lines they represent will intersect at a point, rather than being parallel