An airplane is flying at an airspeed of 340 mph at an intended heading of N42W. The wind is blowing at 35 mph in the direction of S13E. Determine the ground speed of the airplane and its true head

Q: A sailboat that is 2 km due west of a lighthouse sends a signal to the lighthouse that it is in…

A:

Q: A small radio transmitter broadcasts in a 21 mile radius. If you drive along a straight line from a…

A:

Q: A local consignment store uses a linear formula to set its prices based on how long the merchandise…

A: The equation of a straight line is defined using the linear equation, y=mx+c. The linear equation…

Q: · Find the equation of the line through (4, -1) and perpendicular to 3x+y=2. Answer in y=mx+b

A:

Q: A small radio transmitter broadcasts in a 26 mile radius. If you drive along a straight line from a…

A: In this question we have to find how much of the drive will you pick up a signal from the…

Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: In a linear relationship, as the X scores increase, the Y scores change a. in only one direction.…

A: So the correct option is Option  a. in only one direction

Q: Which of the following represents a linear equation that begins at 5 and increases by 8 at each…

A:

Q: Are the following lines parallel, perpendicular or neither? 1 y : =ラ*+7 2x + y = -5

A:

Q: If v varies directly as w and v=8, when w=12, find the equation that relates v and w.

A: Givenv varies directly as w

Q: A ship is headed due north at a constant 18 miles per hour. Because of the ocean current, the true…

A: We have a triangle with sides of length 18 and 16,and an angle of 15° - 0° = 15° opposite…

Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: Use the given data points to construct a linear model, then use the model to find the appropriate…

A:

Q: Complete the ordered pairs so that they are solutions of the given linear equation. Y= 1/2x-1; (6,…

A: For the point (6, ) given x=6 we have to find y. So the point is (6,2)

Q: H. If BD and EG are parallel lines and MZDCF = 125°, what is mZDCA?

A:

Q: Determine whether the following pair of equations represents parallel lines, perpendicular lines, or…

A:

Q: Decide whether the lines are parallel, perpendicular, or neither. y = 2x + 3 y = -2x -5 O A Parallel…

A: The given equation of line are: Line1: y=2x+3     -1Line2: y=-2x-5  -2

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: To a cyclist travelling due north along a straight road at 10km/h, the wind appears to come from the…

A:

Q: At 3:00 PM, a boat is located 12.5 miles due west of a radar station and is traveling at 11 mph in a…

A:

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A:

Q: Look at this diagram: If CE and FH are parallel lines and m. CDB = 61°, what is m FGD?

A:

Q: t=−11π/6 corresponds to what point

A: We have to find t=-11π6 corresponds to what point.

Q: Find the value of x that makes lines u and v 8) x+62 125

A:

Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

Q: Find the linear equation that is the straight line through (5, 5) and parallel to the line 12x – 6y…

A: We need to find an equation that is parallel to the line 12x-6y=19 passing through (5, 5). An…

Q: Given the following equation, complete the ordered pairs. Express to two decimal places, if needed.…

A: To Determine: Given the following equation, complete the ordered pairs. Express to two decimal…

Q: A ship is headed due north at a constant 24 miles per hour. Because of the ocean current, the true…

A: Given: A ship is headed due to north at a constant 24 miles per hour. Because of the ocean current…

Q: A ship is headed due north at a constant 22 miles per hour. Because of the ocean current, the true…

A: To Determine: A ship is headed due north at a constant 22 miles per hour. Because of the ocean…

Q: A pilot sets out from an airport and heads in the direction N 20° E, flying at 200 mph. After one…

A:

Q: Which line is a transversal? O h 6.

A: A transversal is a line that passes through two lines.

Q: Find the angle of the slope for the line L1: 3X - 4Y+2 0 35 O 60 O 90 37 45 40 O 30 O

A: we have to find slope dy/dx  we have to derivate the function with respect to x 3x -4y +2 =0 3 -…

Q: 6.) A plane proceeds on a course of 335° for 3 hours at 150 mph. It then changes direction to 230°…

A: Given: A plane proceeds on a course of 335° for 3 hours at 150 mph. It then changes direction to…

Q: You start driving west for 3 miles, turn right, and drive north for another 13 miles. At the end of…

A:

Q: Use the given data points to construct a linear model, then use the model to find the appropriate…

A: Topic - linear equation

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A: Let x be the total number of balls and y be the number of defectives balls. From the given data…

Q: Which line in the figure at right is a transversal?

A:

Q: A boat leaves Oakville and heads due east for 5km as shown in the diagram at the left. At the same…

A: To find the distance between the two boats when they reach their destination

Q: Find the value of P, if the straight lines 3x + 7y – 1 O and 7x – py +3 = 0

A: Solution: The objective is to find the value of p

Q: Plot and then label the points A(0, - 3), B(3, - 4), C(5, 6), D(- 2, - 5), and E(- 3, 5).

A: Given the pouints are A(0,-3),B(3,-4),C(5,6),D(-2,-5) and E(-3,5).

Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Find the equation to the line below. y = [?]x Enter + or - to indicate if your answer is positive or…

A: As we know that; The equation of the line when it passes through the two points x1,y1 & x2,y2.…

Q: is x=-2 and y=5 parallel perpendicular or intersecting

A:

Q: A man starts walking from home and walks 5 miles at 20° north of west, then 8 miles at 10° west of…

A: If the man walked straight home, then find the distance u:   The vector components in terms of…

Q: small radio transmitter broadcasts in a 32 mile radius. If you drive along a straight line from a…

A: Let the transmitter is located at the origin and the transmitter broadcasts in 32 miles radius.…

Q: What is the relationship between lines c and a? a C c [?] a d A B C neither

A: Solution : We have given that a⊥d, b⊥d and b⊥c . And we have to find out the relationship between c…

Q: Determine the equation of the following straight lines:

A:

Q: Which of the following represents the equation of the line that passes through the points (2,5) and…

A: Line passing through the points 2, 5 & -1, -4.

Q: Write the equation of the line that passes through the point (0,2) and is parallel to the line…

A:

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.