P 4 m 4 m 4 m

Q: Q3: Find the shortest line from a point to a plane, justify your answer by calculations. Hint: you…

A: To determine the shortest distance form a point to the plane.

Q: Determine the shortest path from A to G A-B-E-G O A-C-D-F-G None of the above A-C-D-E-G F

A:

Q: Consider a room in the shape of acube, 4 meters on each side. A bug at point P wants to walkto point…

A:

Q: Find the length of the path over the given interval.(1 + 2t, 2 + 4t), 1 ≤ t ≤ 4

A: The given curve is rt=1+2t, 2+4t,   1≤t≤4. It derivative is r't=2, 4. It is known that the length of…

Q: 3. What is the apparent solution for the graph below? If applicable, write "No Solution" or…

A: Graphically , if two straight line intersect at one point then there is one solution , if the lines…

Q: The endpoints of MN are M(0, -3) and N(-2,-4) and for AB are A(2, 5) and B(4, k). For what value of…

A:

Q: Three mathematics students have ordered a 14-inch pizza. Instead of slicing it in the traditional…

A: Given, Three mathematics students have ordered a 14-inch pizza. Instead of slicing it in the…

Q: Find the length of a shortest path from a to z in the given graph b 2 3 d 7 2 7 \f 4 5 4 6 e g 7 4 h…

A: Shortest path from a to z  I can see that all other path have value greater than 2 and 3  Only this…

Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Danjugan Island is located 3km away from its closest point in the straight shoreline of Cauayan.…

A: Given: Danjugan Island is located 3km away from its closest point in the straight shoreline of…

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

A:

Q: b 8 b) Explain (in words) how you could find the number of paths between vertex a and vertex e which…

A: As per the question we are given a undirected graph with seven vertices a, b, c, d, e, f, g And we…

Q: Find the length of the dashed zig-zag path in the following figure. X1 0.75- 0.5+ 0.25+ 0 0.25 0.5…

A: Consider the following figure. We have to dins the length of the given dashed zig-zag path.

Q: 25 Which of the following is the shortest distance from the point to the curve y = v5x?

A: We have to find the expression of distance using parameter.

Q: Ć be the Shortest Path that connects t to TTL and I - Je Casah z 4) dZz. Fhen I-o?

A:

Q: Find the shortest distance between the following lines.

A: Given, the lines                l1: x-9-14=y-9-1=z3l2: x-48=y+24; z=1

Q: 18 C 24 26 13 А 11 D 17 E Find the length of the shortest path from vertex A to vertex B. B.

A:

Q: Determine the shortest path from A to I. A-B-D-F-I A-B-E-H-I A-C-D-F-H-I O A-B-D-F-G-I E

A: We have to find the shortest path from A to I

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: The length of shortest path from a to e in the following graph i 5. 0 a 8. 2. 10 3. 0:10 014 none of…

A:

Q: 9. What is the length of the shortest path that begins at the point (2,5), touches the x-axis and…

A:

Q: Consider a room in the shape of a cube, 4 meters on each side. A bug (that does not fly) at…

A:

Q: Miles between Adjusted Towns Town C D E Destination Origin 50 A - 70 B 20 55 40 C 50 D 10 60 E 80 i)…

A: The given table represents the distance in miles considering the origin, A, B, C, D, E and…

Q: What is the apparent solution for the graph below? If applicable, write "No Solution" or "Infinitely…

A: In the question we have to find the solution from the graph.

Q: A wall 2.245 m high ia x meters away from a building. The shortest ladder that can reach the…

A: Consider a right angled triangle ABC.  Then sin θ=ABAC and cos θ=BCAC. Also the maximum and minimum…

Q: c) Lastly, find the length of the shortest ladder. In other words, minimize the length of the…

A: Given Fence length=9 ft. Distance between fence and building=3 ft. The result of the part (a) is…

Q: uare method to find the vertex of the function ? = 4?2 − 8? − 5 and sketch the graph with the…

A: Introduction: The point at which a parabola changes direction, corresponding to the quadratic…

Q: Find the maximum value of 7 x – y given the following inequalities in the first quadrant 5 x + 2 y <…

A: solve graphically . Plot the first inequality 5x+2y≤4  by changing it into equality . Then mark the…

Q: 16 What is the degree of vertex 3? 01 ez e₁ V₂ V2 ez VA

A:

Q: B 什 -2 -1 2. -1 -2

A:

Q: Which of the segments listed below is the shortest segment? F H. O KG EJ HG e to search F4 F5 F6 F7…

A:

Q: N. (x+11) (5x - 2) E.

A: Given data is : LA=5AE=5x-2NA=6AY=x+11  To find the length of LE

Q: Given the figure below. Redraw again the figure to determine the shortest path

A: Solution

Q: Zam Island is located 3km away from its closest point in the straight shoreline of Lad. Assuming you…

A:

Q: The locations of a spider (S) and its prey (P) are shown on the box below. The spider is on the…

A: As per the given data, the length, width, and height of the box are 2", 1", and 1". Sketch the…

Q: Complete a path straight at vertex a that ends at vertex c.

A: A complete path is defined when all the vertices are passed through and none of the smaller paths…

Q: Which of the following is the most precise method of determine if 4 vertices on a coordinate plane…

A: Check whether or not diagonals are perpendicular: If the real number of the vectors between the…

Q: Determine the coordinates of the point on the line = (1,-1,2) + s(1, 3, –1) that pro- duces the…

A: To determine the shortest distance and the coordinates of the point on the below line that is…

Q: 33 What is the shortest path for an ant crawling on the surface of a unit cube from the starting…

A: When an ant crawling on the surface of the unit cube starting from the starting points, she can…

Q: Find the shortest distance from the point (0, 3) to the parabola x - 4y = 0. (Give an exact answer.…

A:

Q: Only Part C Did you find the same solution in parts (a) and (b)? If your answer from part (a) (the…

A: Given that: Two linear equations solved graphically and also analytically.

Q: Find the shortest distance from the given point to the line whose equation is given.

A: 6. The shortest distance from the point (0, 10) to the line y=13x is:…

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: perimeter is sum of all side of a triangle

Q: Exercise : Based on Diagram 1, find a) Breadth-First Traversal starts at vertex A? b) Depth-First…

A:

Q: c) You are standing on the bank of a river that is 1 mile wide and want to get to a town on the…

A: SolutionA river bank is 1 mile wide A town on the opposite to a bank 1 mile upstreamTo find the…

Q: Question 4 A 4 3 B 7 3, 5 4 D 12 C What is the minimum total weight of a path from vertex A to…

A: Minimum total weight

Q: B 22 17 A -41 · 15 28 •31 F 24 35 D E

A:

Q: An ant wants to get from B point A to point B in the 3 m rectangular room in the figure. Find the…

A: the given figure is: an ant wants to get from point A to point B in the rectangular room in the…

Q: Find the shortest path in the graph from s to y. 6 2 1 8 3 5 H No answer provided a. S, z, y b. 5,…

A:

Q: A student attempts to find the shortest distance between A and B as shown below. There are two lines…

A: To find the mistake and to determine the correct solution.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.