Need help with these--

4. Does the following set of coordinates make a horizontal, vertical, or diagonal line when connected with a straight line? (4,5) (2,5)
Answer--yes

10. Classify the number as rational or irrational: 4.126532

14. Which of the following points represent the origin?
a. (x,y)
b. (0,0)
c. (x,0)
d. (0,y)
B?

Thanks
-MC

4. horizontal

10. rational (it ends)
14. b (0,0)

Sure! Let's go through your questions one by one.

4. To determine if the set of coordinates (4,5) and (2,5) make a horizontal, vertical, or diagonal line, you need to connect the points with a straight line and see the direction.

To do this, draw a coordinate plane and plot the points (4,5) and (2,5). These points have the same y-coordinate (5), which means they lie on the same horizontal line. Thus, connecting these points will result in a horizontal line.

Therefore, the answer is that the set of coordinates (4,5) and (2,5) make a horizontal line.

10. To classify a number as rational or irrational, we need to understand the nature of the number.

A rational number is a number that can be expressed as a fraction (ratio) of two integers. In contrast, an irrational number cannot be expressed as a fraction and has a non-repeating, non-terminating decimal representation.

For the number 4.126532, it appears to be a decimal with multiple digits after the decimal point. However, it is important to examine if the decimal representation repeats or terminates.

To determine if the decimal representation repeats, you would need to check for patterns in the digits. If the decimal representation terminates, it means it has a finite number of digits after the decimal point.

To determine if 4.126532 is rational or irrational, you need to analyze the decimal representation further. Since it does not appear to repeat or terminate, it suggests that 4.126532 is an irrational number.

Therefore, the answer is that 4.126532 is an irrational number.

14. To identify the point that represents the origin, you need to understand what the origin means in the context of coordinate geometry.

In coordinate geometry, the origin refers to the point where the x-coordinate and the y-coordinate are both zero. It is represented as (0,0).

From the given options:
a. (x,y) represents a general point with unknown values. It could be any point.
b. (0,0) represents the origin since both x and y coordinates are zero.
c. (x,0) represents a point on the x-axis, where the y-coordinate is zero.
d. (0,y) represents a point on the y-axis, where the x-coordinate is zero.

So, looking at the options, b. (0,0) represents the origin since it satisfies the condition of having both x and y coordinates equal to zero.

Therefore, the answer is option b. (0,0) represents the origin.

I hope this helps! Let me know if you have any further questions.