What is the median of these numbers 2.4,2.8,2.3,2.9,2.9

Response:

• Marti is declared the winner

Step-by-step explanation:

Continuation of question:

• After 10 seconds, the race concluded. The winner is the racer farthest from the starting point. Which car deserves the title of winner? Use mathematical reasoning to support your conclusion.
• Table is attached

Solution

Greg

• Travel speed = 13 ft/s
• Initial position = 30.7 ft from the starting point after 2 seconds

Distance from the starting point after 10 seconds:

30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ft

Marti

Travel speed = 16.5 ft/s

• Starting position = 2 ft from the beginning line

Distance from starting point after 10 seconds:

2 + 10*16.5 = 2 + 165 = 167 ft

• In comparing the distances from the start line, 134.7 ft against 167 ft, Marti is further from the start line and is thus declared the winner.

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.

The slope-intercept form of a linear equation is presented as y = mx + b, where x and y denote coordinates of an ordered pair, m represents the slope, and b indicates the y-intercept. Our objective is to isolate m. Initially, we will eliminate 'b' from both sides. Next, we will reposition the terms accordingly and finally divide both sides by x. Thus, we conclude that m equals the calculated value.

Answer:

For a clearer understanding, refer to the attached figure:

Step-by-step breakdown:

1. According to the unique line postulate, only one line segment can be created: BC

This is because a single line can only connect two distinct points.

2. Utilizing the definition of reflection, reflect BC across l.

To identify the line segment reflected over l, we will apply the reflection definition.

3. Based on the reflection definition, C remains as its own image and A represents the image of B.

The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.

4. Because reflections maintain length, we find that AC = BC

In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.