a. Sketch the lines defined by y = x + 2 and y -x + 2. b. Find the area of the triangle bounded by the lines in part (a) and the x-axis.

Q: Construct a line perpendicular to the line below through point W. W

A:

Q: t is the line that in ctly one point?

A: Introduction: A tangent to a circle is a straight line that intersects the circle only once. This is…

Q: ub-) Find the equation of a line entirely in n which is perpendicular to the line D at the point…

A: You asked to solve part (b) only. So I supposed that you have equation of the plane π and…

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

A:

Q: Find a line that is parallel to the line that passes through both P and Q and contains R.

A: We have to find the equation of line.   According to our guidelines we can solve only one question…

Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: The midpoint of a line segment is the point halfway between its endpoints. OA. True OB. False

A: Given: The midpoint of a line segment is the point halfway between its endpoints.

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A.…

A: The mid-point formula of a line segment is, x,y=x1+x22,y1+y22 where x,y is mid-point of the line…

Q: A) Find the distance from the point (1,1,1) to the line = =

A: the solution is given by the image attached  and since it is the square of distance which we have…

Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

A:

Q: 9) 7x+4 60° 1.

A: The figure is given by To evaluate: The value of x

Q: Evaluate (x+y)ds where C is the straight-line segment x = 2t, y = (8 – 2t), z = 0 from (0,8 C…

A:

Q: Evaluate ∫C x ds, where C is the straight-line segment x = t, y = t/2, from (0, 0) to (4, 2).

A:

Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

A:

Q: Find the distance between the lines: ri = +! r2 = + s

A: We have to find the distance between given 2 lines.

Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

A:

Q: Determine if line AB is tangent to the circle. 15 8. B. 6.

A: Yes AB is tangent to the circle.

Q: Find the segment indicated. Assume that lines which appear to be tangent are tangent. 5.6 8.4

A:

Q: Construct a line perpendicular to the line given through the point P at the right.

A: To plot the line perpendicular to the given line through the point P

Q: Are lines h and j perpendicular?

A:

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: -In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

A:

Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

A:

Q: Evaluate |x ds, where C is a. the straight line segment x = t, y = 5, from (0,0) to (30,6)

A: Line integral is an integral where the function to be integrated is evaluated along a curve

Q: ) Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, z = 2+ t.

A:

Q: What is the length of the blue line labeled r in the image below? Give your answer in terms of a and…

A: The length of r is found using the following triangle ABC.

Q: Show that the midpoint of the line segment joining the points (a, b) and (c,d) is ((a + c)/2, (b +…

A: Mid point formula is:

Q: Find the midpoint of the line segment joining points A and B. A(4, -5); B(4,1)

A:

Q: Find the value of a that makes lines u and v parallel. 130° x+ 135 y O 5

A:

Q: Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

A:

Q: Find the value of z that makes lines u and v parallel. 85° 12x+ 1

A:

Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: Find the distance between a point (6, 9) and a horizontal line at y = 5. O A) 14 B) 4 C) 15 O D) 11

A:

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

A:

Q: 16 12 8.

A: According to question we have to evaluate that line AB is tangent To the circle or not.

Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

A:

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

A:

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

Q: C E В A

A: Solve for the x

Q: Y. 14 12 10 8 6 D. --4-2 2. 6 8 10 12 14 A 4. 2. 4.

A: from midpoint formula

Q: For what value of w is line m parallel to line ?

A: C passes through (-4.-7) & (2,-3)   slope of C = -7-(-3)-4-2                       = -4-6 = 23

Q: If c > 5, how many lines through the point (0, c) are normal 29 lines to the parabola y = x²? What…

A:

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

A:

Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: What is the value of d that makes lines e and f parallel?

A:

Q: Y 12" 6" -6"- -6"-

A: Let, the given image be named as: