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2 years ago

What is the vertical change from Point A to Point B?

Mathematics

2 answers:

lorasvet [3.4K]2 years ago

6 0

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1. Vertical change :

$2 - 1$

2. Horizontal change :

$4 - 2$

3. Rate of change :

$\dfrac{y_2 - y_1}{x_2 - x_1}$

$\dfrac{2 - 1}{4 - 2}$

$\dfrac{1}{2}$

$0.5$

xxMikexx [17]2 years ago

3 0

Answer:

The vertical change is 1

The horizontal change is =2

The rate of change .5

Step-by-step explanation:

Point A is at (2,1)

Point B is at (4,2)

The vertical( up and down) change is (2-1) = 1

The horizontal ( left and right) change is (4-2) =2

The rate of change is vertical over horizontal (1/2) = .5

You might be interested in

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

PolarNik [594]

Answer:

one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

ratio for first equation: 1/1 = 1
ratio for second equation: 1/-1 = -1

These lines have different slopes, so there is one solution to the system of equations.

_____

Additional comment

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

8 0

2 years ago

The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil

malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

And, the total number of aces in a shuffled standard deck = 4

As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52