State whether each of the following set is finite or infinite:(i) The set of lines which are parallel to the x-axis(ii) The set of letters in the English alphabet(iii) The set of numbers which are multiple of 5.                                              (iv) The set of animals living on the earth(v) The set of circles passing through the origin (0,0)

Q: Draw a line through all points with an abscissa of 3.

A: To draw a line through all points with an abscissa of 3.

Q: Consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given- Three noncollinear points A,B and C. If each line must contain two of the points . To find-…

Q: If, as x→-0 or as x→0, the values of R(x) approach some fixed number L, then the line y = L is a of…

A: If as x→-∞ or x→∞, the values of R(x) approach some fixed number L, then the line y = L is a…

Q: The set of all points on one side of a line is calleda/an .

A: The set of all points on one side of a line is called a ____________

Q: 2 > ]x – 4| X-1

A: Given,          2x-1≥x-4

Q: The set of all points on one side of a line is called a/an

A: Consider the given statement "The set of all points on one side of a line is called a half-plane".…

Q: How many instances of Point are created in the line below:  Point five = two;

A: An instance is created with the help of new operator.

Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

A:

Q: Suppose P = (0, – 1, 6) and PQ = (9, 2, – 4). and ( Enter an integer or decimal number (more.] Two…

A: Find the point Q using the vector PQ and point P.

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) vertical? If so,…

A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: (2) Is there a line that passes through the points p3(3,0,1);P1(4,-1,-1), P2(2,1,3),

A: We have to determine whether there is a line passing through these three points.

Q: 33 What point on the line through (1,2, 5) and 3, 1, 1) is closast to the point (2, -1, 5)?

A: Given: The line passing through the points 1,2,5 and 3,1,1 To find: The point on the given line…

Q: Write the set of points from -2 to 2 but excluding 0 and 2 as a union of intervals:

A: To Find: Set points from -2 to 2 excluding 0 & 2 as union of intervals.

Q: 6. If, as x-- or as x- 0, the values of R(x) approach some fixed number L, then the line y = L is of…

A:

Q: A line is a collection of _______ along a _______ path that extends endlessly in bothdirections.

A: A line is a collection of _______ along a _______ path that extends endlessly in both directions.

Q: What is the length of the graph of y = In(x<+1) - x from x = 0 to x = 3?

A: Given  The graph equation is y=lnx2+1-x  from  x=0 to x= 3 .   Formula :- Arc length of curve…

Q: find distance between the following points (-1,3) and (4,8)

A: We can find the distance between the two points as below.

Q: Find the midpoint of the line segment with the given endpoints: (-4, 4) and (5, -1). O (1, 2) O (1,…

A:

Q: Determine the number of paths from A to B if you can only move East and South. A

A:

Q: If, as x approaches some number c, the values of |R(x)|→∞, then the line x = cis a of the graph of…

A: If, as x approaches some number c, the values of R(x)→∞, then theline x=c is a ..................of…

Q: Prove the following 1. Show that in a line there exists an infinite number of points.

A:

Q: consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given:The noncollinear points A, B, and C.

Q: Prove the inequality theorem 6 which states that the sum of the lengths of any two sides of a…

A: Consider a triangle ABC as shown below.

Q: The set of all points on one side of a line is called a/an________ .

A: The set of all points on one side of a line is called a/an________ .

Q: At Lana's bake sale, 2/3 of the brownies were purchased by 5/7 of the customers. If there were at…

A: Let X be the number of brownies and Y be the number of customers. It is given that 2/3 of the…

Q: What describes simply a set of ordered pairs that are arranged in an orderly manner?

A: What describes simply a set of ordered pairs that are arranged in an orderly manner?

Q: Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…

A: Consider that x is the independent variable and y is the dependent variable. The size of the…

Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

Q: The maximum number of new vertical angles that are created when we add another line to a…

A: The maximum number of new vertical angles that are created in the given scenario are found below.

Q: The intersection of sets K and L will

A: our objective is to find the intersection

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: For each set of three points, there is exactly one line containing them. If a point is not on a…

A: Please find the answer in next step

Q: Write a pair of inequalities that describe the points that lie inside or on the circle with center…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines…

A: Introduction: From a set of n distinct object, r distinct object can be selected following no…

Q: If the Upper-class boundary and class interval are 299 and 100 respectively then what will be the…

A:

Q: Construct a line parallel to a given line through a given external point. * R A

A:

Q: What is the distance between the two given points(5,1)and (5,-6)

A: Given The points are (5 ,1) and (5 ,-6) Distance formula

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: 1. Write the interval of points that are less than -4: 2. Write the set of points from -5 to 2 but…

A: To find-  Write the interval of points that are less than -4. Write the set of points from -5 to 2…

Q: What is the distance between the following points? 4- 17 -8-

A:

Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

Q: The points P1(3,0, 1), P2(3, – 6, – 3), P3(4, – 6, – 5) lie on the same line. - - True O False

A:

Q: It is a subset of a line that has only one endpoint and is extended endlessly in one direction.a.…

A: We know that Line has two endless direction means we can extend the line infinitely from both sides…

Q: 1) Parameterize the line segment running from (1, 2) to (3, 5).

A:

Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.

A:

Q: suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or…

A:

Q: What is the name for the set of all points on a line between and including two endpoints?

A: Given:  Set of all points on a line between and including two points.