Find the equation of the line that passes through the point (4,-1) and has an angle of inclination of 135°.

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

Q: Find the magnitude of the acute angle between the lines with equations y = 2x + 3 and 1 y =--x +3.

A: We have to find magnitude of acute angle

Q: Find the angle between the line represented by 2x2+xy-6y2+7y-2=0

A:

Q: Find the acute angle between the lines: 9x - y = 3  6x+y = 9

A: the given two lines are  9x - y = 3  .......1 6x+y = 9   .............2

Q: Show that the equation of the pair of lines bisecting the angle between the pair of bisectors of the…

A:

Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: Find the equation of the straight line whose distance from the origin is 4,If the normal ray from…

A:

Q: Find the angle between the straight lines 3x+5y=7 2x-y+4=0

A: We have to find the slopes of the equation first.

Q: Determine the equation of the straight line passing through the point (3, 1) and with an angle of…

A: The equation of the line is y-y1=m(x-x1). We have (x1,y1)=(3,1)    m=slope of the line= tan 135°

Q: find the angle between the line represented by 2x2+xy-6y2+7y-2=0

A: Find the angle between pair of straight line

Q: Find an equation of the line passing through the points. 2, 4 Sketch the line.

A: equation of the line passes through point (x1,y1) and (x2,y2) is  (y-y1) = (y2-y1)/(x2-x1)(x-x1)

Q: Find the angle between the curves 4. у%3Dх and у%3х° +х-8

A: First find the intersection point of the curve then calculate slope of tangents of both the curve at…

Q: Find the acute angle between the lines: 2x+3y =-12, x+ 2y =-6

A:

Q: Find the equation of the line that passes through the point (4,-1) and has an angle of inclination…

A: topic - equation of a line

Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: Find the equation of the bisectiors of the obtuse angle between the lines x+y-5=0 and x-7y+7=0

A: Given that, x+y-5=0   .................(1) x-7y+7=0   ..............(2) equation (1) can be written…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: The rate of flying is 4 ft/sec. The toal time is 1.5 minutes, i.e. 90 second. The distance covered…

Q: Find the equation of the line. Through (5,14); perpendicular to y = 2.

A:

Q: . Find an equation for the line containing the points ( - 2, 5) and (4, - 1). What is the distance…

A: Equation of the line: The equation of the line containing the points x1, y1 and x2, y2  is…

Q: Find the equation of a line passing through the point (-2,-1) and having inclination 1500

A:

Q: Determine the equation of the line through the point P tan) that is parallel to the line with…

A:

Q: Find the equation of the line that passes through the point (2,3) and make an angle of 45° against…

A: Given Line is : 3x-y+5=0

Q: Find the angle of inclination of the line y-x 1

A: As per the company guidelines we are supposed to solve first question only. Kindly post the other…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given :  A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per…

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find an equation for the line containing the origin that makes an angle of 30° with the positive…

A: We have to find the equation of line containing the origin and line is making angle of 30° with the…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A: Given that, a man flying in a hot air balloons in a straight line with constant rate 5 feet per…

Q: Find the angle between the following straight line у-4-2х,у-3x+7

A:

Q: Find the acute angle between the lines 3x+y=5 and 2x-y=4

A: We have to found acute angle between two lines ,where lines are given by:

Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading…

A: According to cosine formula b2=a2+c2-2ac cos B . Here A,B,C represents the angle of the triangle .

Q: find the equation of  the perpendicular biceptor of the segment joining (4,2) and (-2, 6).

A: Let ( x1,y1) and ( x2,y2) be (4,2) and (-2,6) respectively

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

A:

Q: Find the equation of a line perpendicular to 4x+5y=3 that conatins the point (5,5). (write the…

A:

Q: Now let's think about how the slope of the terminal ray and the angle measure co-vary in the fourth…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

A:

Q: Find the equation of the bisectiors of the obtuse angle between the lines x + y – 5 = 0 and x – 7y…

A: x+y-5=0  .................(1)rewrite the given equation as:-x-y+5=0 x-7y+7=0   ............(2)

Q: Find the equation of the line for the following: a) passing through the point (2,1) and which make…

A: Equation of a line passing through a given point P(x1y1) and making an angle θ with the positive…

Q: Find angle between the lines given by equations y=2x+4 and y=x+3

A:

Q: Find the angle of inclination of the line y -x = 1

A:

Q: Find an equation for line that passes through point p(8,6) and perpendicular to v=2i+3j

A:

Q: The distance of the point (12,1) from the line

A: