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
what is the solution of the following system of equations?
2y - x = 8
y = 2x + 1
a) (5,2)
b) ((1,2)
c) (2,1)
d) (2,5)
what is the solution of the following system of equations?
y = 0
x = y + 2
a) (2,1)
b) (0,2)
c) (1,2)
d) (2,0)
Thanks,
molly
Sure, I can help with these questions!
4. To determine whether the given set of coordinates (4,5) and (2,5) make a horizontal, vertical, or diagonal line, we need to plot them on a coordinate plane.
You can draw a pair of axes (a horizontal line representing the x-axis and a vertical line representing the y-axis) and mark the points (4,5) and (2,5) on the plane.
Once you have plotted the points, you can connect them with a straight line. If the line goes strictly up and down (vertical), it means the y-coordinates are the same. If the line goes strictly left and right (horizontal), it means the x-coordinates are the same. If the line goes at an angle, it is a diagonal line.
In this case, when (4,5) and (2,5) are connected with a straight line, the line will be horizontal because the y-coordinates are the same. So, the answer is "horizontal".
10. To classify a number as rational or irrational, we need to understand the definitions of these terms.
Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Irrational numbers, on the other hand, cannot be expressed as a simple fraction because they do not terminate or repeat.
In this case, the number 4.126532 is a terminating decimal, which means it ends after a certain number of decimal places. Therefore, it can be expressed as a fraction, in this case, 4.126532/1, making it a rational number.
So, the answer is "rational".
14. To determine which of the given points represent the origin, you need to know what the origin is in a coordinate plane. The origin is the point where the x-axis and the y-axis intersect, represented as (0,0).
Among the given options:
a. (x,y) denotes a general point and can represent any point on the coordinate plane.
b. (0,0) represents the origin.
c. (x,0) represents a point on the x-axis.
d. (0,y) represents a point on the y-axis.
Since option b. (0,0) matches the description of the origin, the answer is indeed "b".
I hope this helps! Let me know if you have any further questions.